Diseases Of The Eye by M. Zolotaryova

This textbook provides a systematic introduction to ophthalmology, beginning with the anatomy of the eye and the physiology of vision, followed by methods of examining visual functions and the patient. It covers ocular refraction and accommodation, the selection of spectacles, the organisation and equipment of ophthalmological facilities, preoperative and postoperative care, and general and local methods of treating eye diseases. The early chapters establish the anatomical, physiological and clinical foundations needed for understanding disorders of the eye and their diagnosis and treatment.

The greater part of the book is devoted to diseases and injuries of the eye. It discusses disorders of the eyelids and lacrimal apparatus, conjunctiva, trachoma, cornea and sclera, uveal tract, lens and vitreous body, as well as glaucoma and diseases of the retina and optic nerve. It concludes with diseases of the eye muscles and orbit and with mechanical, thermal and chemical eye injuries, including their prevention. Overall, the book presents ophthalmology as an integrated field linking ocular anatomy and visual function with clinical examination, diagnosis, treatment and prevention.

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CONTENTS

Introduction

  1. OUTLINE OF THE ANATOMY OF THE ORGAN OF VISION
    Protective Structures
    The Eyeball
    Muscles of the Eye
  2. THE VISUAL FUNCTIONS AND METHODS OF EXAMINATION
    Central Vision and Visual Acuity
    Colour Vision
    Peripheral Vision and Field of Vision
    Photoreception
    Binocular Vision
  3. REFRACTION AND ACCOMMODATION
    Ocular Refraction
    Optic Lenses
    Accommodation
    Picture of Refraction Anomalies
    Selection of Spectacles
  4. LAYOUT AND EQUIPMENT OF THE OPHTHALMOLOGIST’S OFFICE OF AN OUT-PATIENT CENTRE AND THE EYE DEPARTMENT OF A HOSPITAL
    The Ophthalmologist’s Office
    Layout and Equipment of the Eye Hospital
    Preoperative Treatment
    Surgery and Postoperative Care
  5. EXAMINATION OF THE PATIENT
    History Taking
    Examination of the Eyelids, Conjunctiva, Cornea, and Iris
    Ophthalmoscopy
    Determination of the Intra-Ocular Tension
  6. METHODS OF TREATING EYE DISEASES
    General Therapy
    Physiotherapy, X-ray and Radiotherapy
    Local Therapy
    Astringent and Caustic Drugs
    Antiseptic Drugs
    Resolvents and Irritants
    Anaesthetics
    Mydriatics and Miotics
    Corticosteroids
    Dressings
  7. DISEASES OF THE EYELIDS AND LACRIMAL APPARATUS
    Diseases of the Eyelids
    Diseases of the Skin of the Eyelids
    Diseases of the Margins of the Eyelids
    Changes in the Position and Movements of the Eyelids
    Diseases of the Lacrimal Apparatus
    The Lacrimal Passages and Their Diseases
    Inflammation of the Lacrimal Sac
  8. DISEASES OF THE CONJUNCTIVA
    Conjunctivitis of Exogenous Origin
    Acute Conjunctivitis
    Inflammation of the Conjunctiva Due to Mechanical, Chemical and Physical Factors
    Conjunctivitis of Endogenous Origin
    Degenerative Changes of the Conjunctiva
  9. TRACHOMA
    The Clinical Picture and Diagnosis of Trachoma
    Differential Diagnosis Between Trachoma, Folliculosis and Follicular Conjunctivitis
    The Aetiology and Prevalence of Trachoma
    Organisation of Trachoma Control
    Treatment of Trachoma
  10. DISEASES OF THE CORNEA AND SCLERA
    Diseases of the Cornea
    Superficial Keratitis
    Scrofulous Keratitis
    Neurogenous or Neurotrophic Keratitis
    Herpetic Keratitis
    Epidemic Keratoconjunctivitis of Adenoviral Aetiology
    Creeping Ulcer of the Cornea
    Deep or Interstitial Keratitis
    Deep Tuberculous Keratitis
    Keratitis of Malarial and Brucellar Aetiology
    Diseases of the Sclera
  11. DISEASES OF THE UVEAL TRACT
    Iritis
    Iridocyclitis
    Choroiditis
    Endophthalmitis
    New Growths of the Uveal Tract
  12. DISEASES OF THE CRYSTALLINE LENS AND THE VITREOUS BODY
    Diseases of the Crystalline Lens
    Cataract
    Diseases of the Vitreous Body
  13. GLAUCOMA
    The Clinical Picture and Classification of Glaucoma
    Acute Attack of Glaucoma
    Diagnosis, Prophylaxis and Treatment of Glaucoma
  14. DISEASES OF THE RETINA AND OPTIC NERVE
    Diseases of the Retina
    Circulatory Disorders in the Retina
    Pathological Changes of the Retina and Retinal Vessels in Certain Systemic Diseases
    Pigmentary Degeneration of the Retina
    Detachment of the Retina
    New Growths of the Retina
    Diseases of the Optic Nerve
  15. DISEASES OF THE EYE MUSCLES AND ORBIT
    Diseases of the Eye Muscles
    Concomitant Strabismus
    Paralytic Strabismus
    Nystagmus
    Diseases of the Orbit
    Orbital Periostitis
    Orbital Phlegmon
    Orbital Tumours
  16. EYE INJURIES
    Mechanical Injuries
    Thermal and Chemical Burns
    Prevention of Eye Injuries

Prescriptions

Index

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Machine Elements – A Textbook by V. Dobrovolsky; K. Zablonsky; S. Mak; A. Radchik; L. Erlikh

This book presents a comprehensive treatment of the principles used in the design and calculation of machine elements. It begins with the fundamental criteria governing the operating capacity of machine components, including strength, rigidity, resistance to vibration, and heating, before examining material selection, standardisation, and production soundness. The second part focuses on joints between machine elements, covering riveted, welded, interference-fit, threaded, cottered, keyed, splined, serrated, and keyless joints, with particular attention to their strength and design under different loading conditions.

The latter part deals with mechanical power transmission and the design of its principal components. It examines friction drives, belt and chain drives, gears and reduction gears, power screws, shafts and axles, and both sliding and rolling contact bearings. The book also addresses couplings and clutches, together with issues such as lubrication, efficiency, wear, fatigue, heating, vibration, and operating capacity. Overall, it provides a systematic engineering framework for selecting, analysing, and designing machine elements and power-transmission systems.

Translated from the Russian by A. Troitsky

Note: Some early pages 8-9 are missing

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CONTENTS

Introduction

PART ONE. FUNDAMENTALS OF DESIGNING MACHINE ELEMENTS

Chapter I. Criteria of Operating Capacity and Calculation of Machine Elements

  1. Strength of Machine Elements
  2. Volume Strength
  3. Surface Strength
  4. Rigidity of Machine Elements
  5. Resistance to Vibration of Machine Elements
  6. Heating of Machine Elements

Chapter II. Selection of Material

  1. Comparative Evaluation of Various Materials by Weight
  2. The Principle of “Local Quality” and Its Utilisation in the Selection of Materials
  3. Reduction in the Range of the Materials Employed

Chapter III. Standardisation of Machine Elements

Chapter IV. Production Soundness of Machine Elements

PART TWO. JOINTS OF MACHINE ELEMENTS

Chapter V. Types of Joints and Their Principal Features

  1. Types of Joints
  2. Strength of Joints
  3. Tightness of Joints
  4. Stiffness of Joints

Chapter VI. Riveted Joints

  1. The Functioning of Rivets in a Seam
  2. Strength of Riveted Joint Elements
  3. Calculation of Riveted Seams
  4. Strong Seams
  5. Tight-Strong Seams

Chapter VII. Welded Joints

  1. Calculation of Welds
  2. Welded Joints Designed for Static Load
  3. Strength of Welds at Varying Load

Chapter VIII. Joints Formed by Interference Fits

Chapter IX. Threaded Joints

  1. Types and Causes of Thread Failure
  2. Strength under Static Load
  3. Joints Designed without Initial Stress
  4. Joints Designed with Initial Stress
  5. Strength at Varying Loads (Endurance of Bolted Joints)
  6. Calculation of Strength
  7. Temperature Stresses in Threaded Joints
  8. Load Distribution Between Threaded Parts in a Group Joint (Determination of Design Load in a Group Joint)

Chapter X. Cottered Fastenings

  1. Cottered Joints
  2. Pin Joints

Chapter XI. Key, Splined and Serrated, and Keyless (Shaped and Other) Joints

  1. Keys
  2. Calculation of Unstrained Joints
  3. Calculation of Strained Joints
  4. Multiple Splines
  5. Keyless Joints

PART THREE. POWER TRANSMISSION

Chapter XII. Power Transmission Systems and Their Principal Features

  1. Types of Drives
  2. Drives with a Constant Velocity Ratio
  3. Velocity Ratio
  4. Peripheral Velocity
  5. Transmitted Horsepower
  6. Loss of Horsepower and Efficiency
  7. Weight, Size and Cost of Drives
  8. Drives with a Variable Velocity Ratio

Chapter XIII. Friction Drives

  1. Fundamentals of the Theory and Operation of Friction Drives
  2. Slip and Creep in Friction Drives
  3. Pressure
  4. Parts of Friction Drives
  5. Calculation of Friction Drives
  6. Design for Strength
  7. Shaft Loads
  8. Losses and Efficiency of Drives
  9. Design for Heating

Chapter XIV. Belting

  1. Fundamentals of the Theory and Operation of Belt Drives
  2. Tension in a Flexible Cord Embracing a Cylinder
  3. Elastic Creep
  4. Velocity Ratio
  5. Pull Factor
  6. Tension Due to Centrifugal Forces
  7. Stresses in Belts
  8. Losses in Transmission
  9. Components of Belt Drives
  10. Belts
  11. Pulleys
  12. Belt Tension Adjusters
  13. V-Belt Variable-Speed Drives
  14. Calculation of Belt Drives
  15. Geometry of Belt Drives
  16. Calculating Belt Pull
  17. Calculating Belt Service Life
  18. Loads Carried by Shafts
  19. Transmitted Horsepower and Efficiency of Belt Drives

Chapter XV. Gearing

  1. Basic Rack
  2. Accuracy of Gears
  3. Components of Toothed Gears
  4. Materials
  5. Design of Pinions and Wheels
  6. Types of Failure in Gear Teeth
  7. Design of Straight-Tooth Spur Gears
  8. Main Geometrical Proportions
  9. Forces Acting in a Gear
  10. Design Load
  11. Calculation of Teeth for Surface Strength
  12. Calculation of Teeth for Beam Strength
  13. Lubrication and Efficiency
  14. Design of Helical and Herringbone Spur Gears
  15. Main Geometrical Proportions
  16. Forces Acting in a Gear
  17. Design Load
  18. Calculation of Teeth for Surface Strength
  19. Calculation of Teeth for Beam Strength
  20. Design of Bevel Gears
  21. Main Geometrical Proportions
  22. Forces Acting in a Gear
  23. Calculation of Teeth for Surface Strength
  24. Calculation of Teeth for Beam Strength

Chapter XVI. Screw, Hypoid, Worm and Globoidal Gears

  1. Screw Gears
  2. Hypoid Gears
  3. Worm Gears
  4. Materials
  5. Design of Worms and Wheels
  6. Accuracy of Gears
  7. Failures of Worm Wheel Teeth
  8. Main Geometrical Proportions
  9. Forces Acting in a Gear
  10. Design Load
  11. Design for Surface Strength
  12. Design of Teeth for Bending
  13. Lubrication and Efficiency
  14. Globoidal Gears
  15. Materials
  16. Design of Worms and Wheels
  17. Main Geometrical Proportions
  18. Calculation of the Gear for Wear
  19. Lubrication and Efficiency

Chapter XVII. Toothed and Worm Reduction Gears

  1. Main Types of Reduction Gears
  2. Designs of Reduction Gears
  3. Lubrication and Calculation for Heating

Chapter XVIII. Chain Drives

  1. Velocity Ratio
  2. Chain Tension
  3. Components of Chain Drives
  4. Chains
  5. Sprockets
  6. Chain Housings and Slack Adjusters
  7. Design of Drives
  8. Kinds of Failure in Chain Drives
  9. Determining Chain and Sprocket Proportions
  10. Lubrication and Efficiency

Chapter XIX. Power Screws

  1. Materials and Design of Screws and Nuts
  2. Calculation of Power Screws

PART FOUR. SHAFTS AND AXLES, BEARINGS AND COUPLINGS AND CLUTCHES

Chapter XX. Shafts and Axles

  1. Straight Shafts and Axles
  2. Design
  3. Kinds and Causes of Failure in Shafts and Axles and Defects in Operation
  4. Materials for Shafts and Axles
  5. Calculation for Strength
  6. Calculation for Stiffness
  7. Methods of Increasing the Endurance of Shafts and Axles
  8. Transverse Vibrations of Shafts. Critical Shaft Velocity
  9. Flexible Wire Shafts

Chapter XXI. Sliding Contact Bearings

  1. Materials for Sliding Radial and Thrust Bearings
  2. Metals
  3. Nonmetallic Materials
  4. Lubricants
  5. Radial Bearings
  6. Design
  7. Calculation of Sliding Bearings
  8. Thrust Bearings
  9. Design
  10. Calculation of Thrust Bearings
  11. Lubricating Devices for Bearings
  12. Methods of Increasing the Operating Capacity of Sliding Bearings

Chapter XXII. Rolling Contact Bearings

  1. Fundamentals of the Theory of Antifriction Bearings
  2. Load Distribution between Balls or Rollers
  3. Stresses at Points of Contact of Bearing Components
  4. Operating Capacity of Antifriction Bearings
  5. Calculation of Antifriction Bearings
  6. Calculation of Statically Loaded Bearings
  7. Calculation of Dynamically Loaded Bearings
  8. Mounting, Lubrication and Sealing of Antifriction Bearings
  9. Methods of Increasing the Operating Capacity of Antifriction Bearings

Chapter XXIII. Couplings and Clutches

  1. Couplings
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Motor Vehicles Fundamentals And Design by M.D. Artamonov; V.A. Ilarionov; M.M. Morin

This book provides a systematic treatment of the theory of automobile engines and motor vehicles, beginning with the fundamental thermodynamic and combustion processes that govern internal-combustion engines. It examines theoretical and actual engine cycles, fuel combustion, engine efficiency, performance characteristics, fuel economy, and methods for increasing power and improving efficiency. The discussion also considers emerging engine technologies, including gas-turbine installations, supercharging, fuel injection, rotor-piston engines, multi-fuel engines, and electric motors.

The second part focuses on the theory and performance of motor vehicles. It covers the forces acting on vehicles, traction and braking dynamics, fuel economy, stability, steerability, cross-country ability, smoothness of run, and transmission systems. Particular attention is given to the relationships between vehicle design, operating conditions, road characteristics, and performance, making the book useful for understanding both the engineering principles underlying motor vehicles and their practical behaviour under different operating conditions.

Translated from the Russian by A. Troitsky

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CONTENTS

Introduction

PART ONE. THEORY OF AUTOMOBILE ENGINES

Chapter I. Theoretical Cycles of Internal-Combustion Engines
1.1. Constant-Volume Cycle
1.2. Compound Cycle

Chapter II. Combustion of Fuel
2.1. Reaction of Burning
2.2. Combustible Mixture and Products of Combustion
2.3. Heat of Combustion (Heating Value) of Fuel and Mixture
2.4. Heat Capacity of Charge and Combustion Products

Chapter III. Actual Cycles of Internal-Combustion Engines
3.1. Process of Admission
3.2. Process of Compression
3.3. Process of Combustion
3.4. Process of Expansion
3.5. Process of Exhaust

Chapter IV. Basic Parameters and Engine Efficiency
4.1. Mean Indicated Pressure, Indicated Power and Fuel Economy
4.2. Effective (Brake) Power and Engine Fuel Economy
4.3. Heat Balance of an Engine
4.4. Increasing the Power and Improving the Fuel Economy of the Engine

Chapter V. Characteristics of Engines
5.1. Speed Characteristics
5.2. Load Characteristics
5.3. Adjustment Characteristics
5.4. Detonation Characteristics

Chapter VI. Future Developments of Motor Vehicle Engines
6.1. Automobile Gas-Turbine Installations
6.2. Supercharging of Engines
6.3. Injection of Light Fuel
6.4. Fuel Spray Ignition
6.5. Rotor-Piston Engines
6.6. Multi-Fuel Engines
6.7. Electric Motors

PART TWO. THEORY OF MOTOR VEHICLES

Chapter VII. Forces Acting on a Motor Vehicle
7.1. Tractive Force on the Driving Wheels
7.2. Traction Characteristic of a Motor Vehicle
7.3. Road Resistance
7.4. Air Resistance
7.5. Equation of Motion of a Motor Vehicle
7.6. Tractive Force According to Conditions of Tyre-Road Grip
7.7. Normal Reactions of the Road

Chapter VIII. Traction Dynamics of a Motor Vehicle
8.1. Force Balance
8.2. Power Balance

Chapter IX. Dynamic Certificate of a Motor Vehicle
9.1. Dynamic Factor
9.2. Dynamic Certificate
9.3. Acceleration
9.4. Gradient Climbing
9.5. Coasting
9.6. Overtaking

Chapter X. Fuel Economy of a Motor Vehicle
10.1. Fuel Economy Characteristics
10.2. Fuel Consumption Equation
10.3. Effect of Operating Factors on Fuel Economy
10.4. Fuel Consumption Rate

Chapter XI. Braking Dynamics of a Motor Vehicle
11.1. General on Braking Dynamics
11.2. Experimental Estimation of the Braking Properties of a Motor Vehicle
11.3. Braking Force on Wheels
11.4. Equation of Motion of a Motor Vehicle during Braking
11.5. Characteristics of a Motor Vehicle Braking Dynamics
11.6. Braking Force Distribution Between the Wheels
11.7. Braking Methods
11.8. New Features in the Design of Brake Systems
11.9. Technical Examination of Traffic Accidents

Chapter XII. Trailer Trains
12.1. Dynamic Characteristics of a Trailer Train
12.2. Fuel Economy of a Trailer Train

Chapter XIII. Stability of a Motor Vehicle
13.1. Lateral Stability Characteristics
13.2. Body Lateral Rolling
13.3. Effect of Operating Factors on Lateral Stability
13.4. Longitudinal Stability

Chapter XIV. Steerability of a Motor Vehicle
14.1. Steerability Characteristics
14.2. Rolling of the Steerable Wheels Without Slipping
14.3. Wheel Lateral Slip and Ability of a Motor Vehicle to Turn
14.4. Relation Between Angles of Turn of Steerable Wheels
14.5. Oscillations of the Steerable Wheels
14.6. Stabilization of the Steerable Wheels

Chapter XV. Cross-Country Ability of a Motor Vehicle
15.1. General on Cross-Country Ability
15.2. Trafficability Test
15.3. Geometrical Characteristics of Trafficability
15.4. Supporting and Tractive Characteristics of Trafficability
15.5. Effect of a Motor Vehicle Design on Its Cross-Country Ability
15.6. Self-Recovery Devices
15.7. Special Types of Cross-Country Vehicles

Chapter XVI. Smoothness of Run of a Motor Vehicle
16.1. General
16.2. Testing for Smooth Running
16.3. Characteristics of the Smoothness of Run
16.4. Oscillations of a Motor Vehicle
16.5. Effect of Design Factors on Smooth Running

Chapter XVII. Types of Transmission

Chapter XVIII. Future Developments of Motor Vehicle Designs

Index

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सरल भौतिकी – इलेक्ट्रॉन – अ० किताईगारोदस्की Electrons ( Physics For Everyone Volume 3 In Hindi by A. Kitaigorodsky)

सन् १६७६ में “मीर” प्रकाशन-गृह ने हिन्दी भाषा में ल० लन्दाऊ और अ० किताईगारोदस्की द्वारा लिखित पुस्तक “सरल भौतिकी” को प्रकाशित किया था। इस पुस्तक में ‘गति’ तथा ‘ऊष्मा’ अध्याय संकलित थे।

इस पुस्तक में उन परिघटनाओं का उल्लेख किया गया है जिनमें मुख्य स्थान पदार्थ संरचना का अगला चरण यानी परमाणुओं तथा अणुओं की वैद्युत संरचना का है। वैद्युत कणों की गति और पारस्परिक क्रियाओं के नियम तथा, सर्वप्रथम, इलेक्ट्रॉनों विद्युत के क्वान्टमों – – के नियम वैद्युत तकनीकी तथा रेडियो तकनीकी का आधार बनाते हैं, जिनके बिना आधुनिक संस्कृति की कल्पना असम्भव है।

इस पुस्तक के मुख्य विषय हैं: विद्युत धारा, चुम्बकीयता और वैद्युत चुम्बकीय क्षेत्र ।

 

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विषय-सूची भूमिका अध्याय १. विद्युत.. ११ विद्युत धारा ११ स्थिर विद्युत १८ विद्युत-क्षेत्र २० आधार किसे माना जाये ? २७ विद्युत के सिद्धांत का विकास किस प्रकार हुआ?…. ३१ अध्याय २. पदार्थ की वंद्युत संरचना.. ३४ विद्युत का लघुत्तम भाग ३४ आयनी धारा. ३६ इलेक्ट्रॉन किरण-पुंज ३८ मिलीकेन का प्रयोग ४० परमाणु-मॉडल ४५ ऊर्जा का क्वान्टमीकरण ४७ मेन्देलियेव का आवर्त्त-नियम ५० अणुओं की वैद्युत संरचना ५२ परावैद्युत ५६ गैसों की चालकता 33 स्वाधीन विसर्जन ७१ पदार्थ की प्लैज्मा अवस्था ७६ धातु ८० धातु में से इलेक्ट्रॉनों का निष्कासन ८५ अध्याय ३. विद्युत-चुम्बकीयता ٤٤ चुम्बकीय क्षेत्र का परिमाप. एकसमान चुम्बकीय क्षेत्र के प्रभाव १०६ असमान चुम्बकीय क्षेत्र के प्रभाव १११ ऐम्पेयरी धारा ११३ परमाणु का इलेक्ट्रॉनी अन ११८ कणों के चुम्बकीय आघूर्ण १२० वैद्युत चुम्बकीय प्रेरण १२७ प्रेरण धारा की दिशा १३० विद्युत चुम्बकीय प्रेरण के नियम की खोज का इतिहास १३२ भंवर प्रेरित धाराएं. १३५ प्रेरित कर्षण (Induced drag) १३७ लोह की चुम्बकीय प्रवृति १३८ डोमेन (Domain) १४२ प्रतिचुम्बकीय तथा अनुचुम्बकीय पदार्थ १४४ पृथ्वी का चुम्बकीय क्षेत्र . १४७ तारों के चुम्बकीय क्षेत्र १५१ अध्याय ४. विद्युत-प्रौद्योगिकी का संक्षिप्त विवरण ज्यावक्रीय वैद्युत-गतिक बल (Sinusoidal emf) १५३ ट्रान्सफ़ार्मर (Transformer) १६२ विद्युत धारा बनाने वाली मशीनें १६४ वैद्युत इंजन १७० अध्याय ५. वैद्युत चुम्बकीय क्षेत्र १७७ नियम १७७ वैद्युत चुम्बकीय क्षेत्र के दो पहलू १६० प्रकाश-विद्युत प्रभाव १६४ हट्स के प्रयोग १६७ वैद्युत चुम्बकीय विकिरण का वर्गीकरण २०५ अध्याय ६. रेडियो २०६ इतिहास के पृष्ठ २०६ लैम्प ट्रायोड तथा ट्रान्जिस्टर २१७ रेडियो-प्रसारण २२१ रेडियो-अभिग्रहण २२५ रेडियो तरंगों का विस्तारण . २२७ रेडियो स्थान निर्धारण (Radio location) २३० दूरदर्शन २३३ माइक्रोइलेक्ट्रॉनी आरेख २३७

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Colloid Chemistry by S. Voyutsky

This book is a translation of the second edition of the Russian textbook on colloid chemistry for institutes of chemical engineering (the first Russian edition was published in 1964). It explains the general concepts and laws of colloid chemistry and describes the properties of colloidal systems, the methods of investigating them, and the use of colloid chemistry for solving practical problems. The textbook has a chapter on high-molecular-weight substances and their solutions. The introduction, the chapters on adsorption, and the chapter on the stability and coagulation of colloidal systems have been extensively revised. The book may serve as a textbook for students and postgraduate students of chemical faculties of universities; it will also be of interest to researchers who wish to become acquainted with the modern state of colloid chemistry.

 

Prof. Sergei Voyutsky, D.Sc. (Chem.), heads the Colloid Chemistry Department of the Lomonosov Institute of Fine Chemical Technology. He specialises in adhesion and in the physico-chemical properties of lattices. He has published over 350 articles in Soviet and foreign journals. Prof. Voyutsky is the author of textbooks on colloid chemistry and polymer solutions, and also of monographs, some of which were translated and published in the United States, Japan, Poland, and other countries. He is a member of the editorial board of the journals Kauchuk i Rezin (Caoutchouc and Rubber) and Kolloidnyi Zhurnal (Colloid Journal).

Translated from the Russian by Nicholas Bobrov.

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CONTENTS

Preface

Author’s Preface

Chapter 1. INTRODUCTION. COLLOIDAL SYSTEMS AND THE SUBJECT MATTER OF COLLOID CHEMISTRY

  1. Concept of Colloidal Systems and the Definition of Colloid Chemistry as a Science
  2. Measure of Dispersion
  3. Heterogeneity of Colloidal Systems as Their Basic Distinction from Molecular Solutions
  4. Disjoining Pressure
  5. Effect of the Degree of Dispersion on the Properties of Disperse Systems
  6. Classification of Colloidal and Microheterogeneous Systems
  7. Importance of Colloidal Systems and Colloidal Processes in Nature and Engineering

Chapter 2. OPTICAL PROPERTIES OF COLLOIDAL SYSTEMS

  1. Light Scattering
  2. Light Absorption
  3. Colour of Colloidal Systems
  4. Optical Methods of Investigating Colloidal Systems

Chapter 3. MOLECULAR-KINETIC PROPERTIES OF COLLOIDAL SYSTEMS

  1. Thermal Motion of Molecules and Brownian Motion
  2. Diffusion in True Solutions and in Colloidal Systems
  3. Osmotic Pressure
  4. Sedimentation Stability
  5. Sedimentation and Methods of Sedimentation Analysis

Chapter 4. SCIENCE OF ADSORPTION. ADSORPTION AT THE SOLID-GAS INTERFACE

  1. Concept of Adsorption
  2. Nature of Adsorption Forces
  3. Langmuir’s Monomolecular Adsorption Theory
  4. Polanyi’s Polymolecular Adsorption Theory and the BET (Brunauer, Emmett, and Teller) Theory
  5. Capillary Condensation
  6. Chemical Adsorption
  7. Heat of Adsorption
  8. Adsorption Rate
  9. Effect of the Properties of the Adsorbent and the Adsorptive on Adsorption. Dynamic Adsorption. Adsorption from Mixtures of Gases

Chapter 5. ADSORPTION AT THE SOLUTION-GAS INTERFACE

  1. Surface Tension
  2. Concept of Surfactants
  3. Gibbs’ Equation
  4. Shishkovsky’s Equation. Transition from Gibbs’ Equation to Langmuir’s Equation
  5. Effect of the Structure and Dimensions of a Surfactant Molecule on Adsorption at the Solution-Gas Interface. Traube’s Rule
  6. Structure of the Adsorption Layer at the Solution-Gas Interface
  7. Langmuir’s Balance. Determination of the Dimensions of Surfactant Molecules

Chapter 6. ADSORPTION AT THE SOLID-SOLUTION INTERFACE

  1. Molecular Adsorption from Solutions
  2. Ionic Adsorption
  3. Exchange Adsorption
  4. Wetting Phenomena
  5. Adhesion

Chapter 7. ELECTRICAL PROPERTIES OF COLLOIDAL SYSTEMS

  1. Concept of Electrokinetic Phenomena
  2. Structure of the Electric Double Layer
  3. Effect of Different Factors on the Electrokinetic Potential
  4. Electrophoresis and Electroosmosis
  5. Determination of the Electrokinetic Potential
  6. Practical Importance of Electrokinetic Phenomena
  7. Other Electrical Properties of Colloidal Systems

Chapter 8. OBTAINING AND PURIFYING COLLOIDAL SYSTEMS. STRUCTURE OF COLLOIDAL MICELLES

  1. Methods of Obtaining Colloidal Systems
  2. Structure of Colloidal Micelles
  3. Examples of Obtaining Colloidal Systems
  4. Purifying Colloidal Systems

Chapter 9. STABILITY AND COAGULATION OF COLLOIDAL SYSTEMS

  1. Kinetics of Coagulation
  2. Stability of Thin Liquid Layers and the Energy of Interaction Between the Surfaces of Two Bodies
  3. Change in the Energy of Interaction Between Micelles as They Approach One Another
  4. Solvation of Particles. Structural-Mechanical and Entropy Factors of Stability
  5. Rules of Coagulation by Electrolytes
  6. Theories of Coagulation by Electrolytes
  7. Effect of the Dimensions and Concentration of Particles on Their Interaction in Dispersed Systems
  8. Importance of Adsorption Phenomena to Coagulation
  9. Particular Phenomena Observed in Coagulation by Electrolytes
  10. Coagulation of Sols Having a Non-Aqueous Medium by Electrolytes
  11. Heterocoagulation and Heteroadagulation of Colloidal Systems
  12. Coagulation Under the Action of Physical Factors

Chapter 10. STRUCTURAL-MECHANICAL PROPERTIES OF DISPERSED SYSTEMS

  1. Origination and Characteristics of Structures in Colloidal Systems
  2. Viscosity of True and Colloidal Solutions
  3. Structural Viscosity
  4. Mechanical Properties of Colloidal Systems Exhibiting True Elasticity
  5. Dependence of the Viscosity of Colloidal Systems on the Concentration of the Dispersed Phase

Chapter 11. SYSTEMS HAVING A GASEOUS DISPERSION MEDIUM

  1. General Characteristics of Aerosols
  2. Powders and Their Properties
  3. Methods of Obtaining Aerosols
  4. Methods of Destroying Aerosols
  5. Practical Importance of Aerosols

Chapter 12. SYSTEMS HAVING LIQUID AND SOLID DISPERSED PHASES

  1. Suspensions
  2. Emulsions
  3. Lattices
  4. Foams
  5. Systems Having a Solid Dispersion Medium

Chapter 13. COLLOIDAL SURFACTANTS

  1. Principal Concepts and Classification of Colloidal Surfactants
  2. State of Surfactants in a Solution
  3. Stabilizing Action of Surfactants
  4. Solubilization in Surfactant Solutions
  5. Practical Importance of Colloidal Surfactant Solutions
  6. Tannins and Dyes

Chapter 14. NATURE AND SOME PROPERTIES OF SOLUTIONS OF MACROMOLECULAR SUBSTANCES

  1. General Information on Macromolecular Substances
  2. Polydispersity and Molecular Weight of Macromolecular Substances
  3. Structure of Macromolecules and Structure of Macromolecular Substances
  4. Theories of Solutions of Macromolecular Substances
  5. Thermodynamics of Dissolution of Macromolecular Substances
  6. Swelling of Macromolecular Substances
  7. Some Properties of Solutions of Macromolecular Substances
  8. Polyelectrolytes
  9. Gels

Recommended Literature
Index

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The Posthumous Papers Of The Pickwick Club by Charles Dickens

The Pickwick Papers by Charles Dickens is a comic masterpiece following the whimsical adventures of Samuel Pickwick, founder of the Pickwick Club, and his fellow members as they travel across England. Through a series of humorous misadventures, misunderstandings, and encounters with eccentric characters, the novel satirises social pretensions, the legal system, and human folly. The central narrative explores themes of friendship, generosity, and personal growth, particularly through the loyal and resourceful servant Sam Weller. Blending wit with Dickens’s keen observations of Victorian society, the book offers a light-hearted yet insightful commentary on human nature.

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Ordinary Differential Equations by L. S. Pontryagin (LaTeX version)

Screenshot

This book has been written on the basis of lectures which I delivered at the department of mathematics and mechanics of Moscow State Uni­ versity. In drawing up the program for my lectures, I proceeded on the belief that the selection of material must not be random nor must it rest exclusively on established tradition. The most important and interesting applications of ordinary differential equations to engineering are found in the theory of oscillations and in the theory of automatic control. These applications were chosen to serve as guides in the selection of material. Since oscillation theory and automatic control theory without doubt also play a very important role in the development of our contemporary tech­ nical culture, my approach to the selection of material for the lecture course is, if not the only possible one, in any case a reasonable one. In attempting to give the students not only a purely mathematical tool suitable for engineering applications, but also to demonstrate the appli­ cations themselves, I included certain engineering problems in the lectures. In the book they are presented in §13, 27, and 29. I consider that these problems constitute an integral organic part of the lecture course and, accordingly, of this book.

We received a mail with the title “Pontryagin – Ordinary Differential Equations (retyped in LaTeX)” from Althea Sindy

inside it was this gem of book typeset in LaTeX with this lovely message

“I have given this book the love it deserves. :3”

You sure have, thanks a ton!

All credits to Althea Sindy for reviving this gem of book and giving it a new life.

 

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Contents

1 INTRODUCTION 1

1 First-order differential equations . . . . . . . . . . . . . . 1

2 Some elementary integration methods . . . . . . . . . . . 6

3 Formulation of the existence and uniqueness theorem . . . 20

4 Reduction of a general system of differential equations to a

normal system . . . . . . . . . . . . . . . . . . . . . . . . 5 Complex differential equations . . . . . . . . . . . . . . . 6 Some properties of linear differential equations . . . . . . 28

36

42

2 LINEAR EQUATIONS WITH CONSTANT COEFFI-

CIENTS 45

7 The linear homogeneous equation with constant coefficients.

Case of simple roots . . . . . . . . . . . . . . . . . . . . . 46

8 The linear homogeneous equation with constant coefficients.

Case of multiple roots . . . . . . . . . . . . . . . . . . . . 9 Stable polynomials . . . . . . . . . . . . . . . . . . . . . . 55

62

10 The linear nonhomogeneous equation with constant coeffi-

cients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 13 14 Method of elimination . . . . . . . . . . . . . . . . . . . . 12 The method of complex amplitudes . . . . . . . . . . . . . Electrical circuits . . . . . . . . . . . . . . . . . . . . . . . 68

73

82

87

The normal linear homogeneous system with constant coef-

ficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104

15 Autonomous systems of differential equations and their

phase spaces . . . . . . . . . . . . . . . . . . . . . . . . . . 113

16 The phase plane of a linear homogeneous system with con-

stant coefficients . . . . . . . . . . . . . . . . . . . . . . . 127

3 LINEAR EQUATIONS WITH VARIABLE COEFFI-

CIENTS 143

17 The normal system of linear equations . . . . . . . . . . . 143

vvi CONTENTS

18 19 The linear equation of nth order . . . . . . . . . . . . . . The normal linear homogeneous system with periodic coef-

ficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154

161

4 EXISTENCE THEOREMS 169

20 Proof of the existence and uniqueness theorem for one

equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169

21 Proof of the existence and uniqueness theorem for a normal

system of equations . . . . . . . . . . . . . . . . . . . . . . 179

22 23 Local theorems of continuity and differentiability of solutions 190

First integrals . . . . . . . . . . . . . . . . . . . . . . . . . 203

24 Behavior of the trajectories on large time intervals . . . . 211

25 Global theorems of continuity and differentiability . . . . 214

5 STABILITY 223

26 27 28 29 30 Lyapunov’s theorem . . . . . . . . . . . . . . . . . . . . . 225

The centrifugal governor and the analysis of Vyshnegradskiy 237

Limit cycles . . . . . . . . . . . . . . . . . . . . . . . . . . 245

The vacuum-tube oscillator . . . . . . . . . . . . . . . . . 265

The states of equilibrium of a second-order autonomous

system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Stability of periodic solutions . . . . . . . . . . . . . . . . 273

293

6 LINEAR ALGEBRA 311

32 33 34 The minimal annihilating polynomial . . . . . . . . . . . . Matrix functions . . . . . . . . . . . . . . . . . . . . . . . The Jordan form of a matrix . . . . . . . . . . . . . . . . 311

318

326

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Heat And Mass Transfer by A. Luikov

The present book was written by the outstanding Soviet scientist, academician of the Belarusian Academy of Sciences, Professor Aleksei V. Luikov, not long before his death in 1974. This is the amended and supplemented second edition of the popular reference book published in 1972.

Heat- and mass-transfer theory deals with the transfer of energy (heat), momentum, and mass, and embraces some sections of molecular physics, aerohydrodynamics, reversible and irreversible thermodynamics, physicochemistry of surface effects, and chemical engineering. Convective diffusion transfer processes are considered in terms of irreversible and nonlinear thermodynamics of continua. In this second edition, considerable attention and space have been devoted to asymmetric hydrodynamics due to the increasing importance of rheological materials, for which classical transfer equations are not applicable. Transfer equations based on nonlinear relations with memory govern transfer phenomena in such materials more accurately.

The chapters “Heat Conduction” and “Convective Heat Transfer” have been amended and supplemented. In the solution of convective heat transfer problems, the author substituted fourth-kind boundary conditions for boundary conditions of the third kind. In all cases, heat transfer in fluids is analysed jointly with heat transfer in a solid wall.

The chapter “Transport Phenomena in Capillary-Porous Bodies” is supplemented with a theoretical analysis of mass transfer in such materials in the presence of phase conversions (liquid evaporation), which is of great practical importance for the development of calculation procedures for transpiration cooling and duration of drying processes.

The sixth chapter entitled “Analytical Heat and Mass Diffusion Theory” comprises an analysis of the differential heat and moisture transfer equations in capillary-porous colloid materials during limit transitions, which is applicable to drying processes and experimental methods of determining thermophysical properties.

Translated from the Russian by T. Kortneva.

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Editor’s Preface to the Russian Edition

Author’s Preface to the First Edition

Chapter 1. Convective Diffusional Transfer
1-1. Basic Analytical Relations
1-2. Differential Transfer Equations
1-3. Thermodynamics of Transfer Processes
1-4. Multicomponent Mixtures
1-5. Derivation of Transfer Equations on the Basis of the Kinetic Theory of Gases
1-6. Transfer Equations for Asymmetric Fluids
1-7. Hydrodynamics of a Vortex Structure Fluid
1-8. Inhomogeneous Turbulence Heat Transfer
1-9. Elements of Nonlinear Thermomechanics in Continua
1-10. Distinguishing Features of Rheological Hydrodynamics
1-11. On Hyperbolic Heat- and Mass-Transfer Equations

Chapter 2. Heat Conduction
2-1. Differential Equation of Heat Conduction
2-2. Initial and Boundary Conditions
2-3. Heat Consumption Calculation Methods
2-4. Methods of Solving Heat-Conduction Problems
2-5. Steady-State Temperature Field
2-6. Solution of Steady-State Problems by the Conformal Mapping Technique
2-7. One-Dimensional Unsteady-State Field (Plate, Cylinder)
2-8. Temperature Waves
2-9. Boundary Conditions of the Fourth Kind
2-10. Two- and Three-Dimensional Problems

Chapter 3. Convective Heat Transfer
3-1. Heat and Mass Transfer in a Flow past a Flat Plate
3-2. Simultaneous Heat and Mass Transfer in a Laminar Flow past a Flat Plate
3-3. Heat and Mass Transfer in Pipe Flows and in Flows past Complex Geometries
3-4. Simultaneous Turbulent Heat and Mass Transfer
3-5. Free Convection
3-6. Thermoconvective Waves

Chapter 4. Conjugate Heat-Transfer Problems
4-1. Physical Basis of Conjugate Heat-Transfer Problems
4-2. Conjugation Number
4-3. Approximate Solution of Problems for a Plate in a Laminar Flow
4-4. Exact Solutions of Heat-Transfer Problems for a Plate (with a Heat Source) in Compressible Gas Flow
4-5. Asymmetric Problems without a Heat Source
4-6. Internal Conjugate Problems
4-7. Unsteady-State Heat Transfer with Laminar Flow of Incompressible Fluid in Plane and Circular Tubes
4-8. Conjugate Heat-Transfer Problem with Turbulent Fluid Flow

Chapter 5. Transport Phenomena in Capillary-Porous Bodies
5-1. Structural Properties
5-2. Thermodynamics of Surface Effects
5-3. Averaging Rules
5-4. Thermodynamic Properties of Moisture Transfer
5-5. Molecular-Kinetic Method
5-6. Heat Conduction in Capillary-Porous and Disperse Materials
5-7. Moisture Transfer in Porous Materials
5-8. Application of Capillary-Porous Materials in Space Engineering
5-9. Transfer Effects under Conditions of Weightlessness
5-10. Heat Pipes

Chapter 6. Analytical Heat and Mass Diffusion Theory
6-1. Differential Heat- and Mass-Transfer Equations
6-2. Differential Moisture-Transfer Equations in Drying Processes
6-3. Generalized System of Differential Heat- and Mass-Transfer Equations
6-4. Mass Transfer Similarity Numbers
6-5. Solution of Heat- and Mass-Transfer Equations at Generalized Boundary Conditions
6-6. Boundary Conditions of the Third Kind
6-7. Differential Equations of Filtration Through Porous Materials
6-8. Diffusion Through Porous Materials
6-9. Hyperbolic Differential Heat- and Mass-Transfer Equations and Their Solutions

References

Index

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A Practical Course In Chemical Technology by I. P. Muklyonov (Ed.)

The course in chemical technology taught at chemical colleges and departments consists of three parts: lectures, practical studies, and laboratory work. A combination of these three teaching methods provides students with a sound foundation for studying any discipline of chemical technology.

This course is primarily aimed at presenting the basic laws of chemical technology, applicable to most chemical processes, as well as processes in the metallurgical, silicate, pulp and paper, and fuel processing industries. Studying the basic types of chemical processes—homogeneous and heterogeneous, non-catalytic and catalytic, electrochemical—and the associated reactors is combined with an analysis of concrete processes of greatest importance to the national economy. Particular attention is given to typical processes embodying the major aspects of chemical technology. The lectures and laboratory work also cover the structural materials used in the manufacture of chemical reactors.

In the 3rd Russian edition, emphasis is placed on the analysis of automated and computerized reactors, as well as new methods and instruments employed in the investigation of material properties. Thus, students performing laboratory work better assimilate the facts presented in lectures, acquire skills for controlling industrial processes with the aid of advanced instrumentation and computers, learn analytical procedures, and improve their techniques for processing experimental results.

In a laboratory, students carry out the first (according to the syllabus) experiment. Each work covers practically all stages of experimental procedures. First of all, students learn about the subject from the textbook in chemical technology, the present practical course, and the literature recommended at the end of each work. Then, they go through the safety rules to be observed in a chemical laboratory (see Appendix, p. 425) and the instructions for the work being carried out. After a briefing by the instructor (colloquium), students are assigned to conduct the experiment. Students then become familiar with the experimental setup, check whether it is assembled correctly, activate individual units, and calibrate some instruments.

The next stage is an experimental study of the effect of some process parameters on the course of the process. Some assignments involve the analysis of the effect of temperature, concentrations, time, and other factors within a broad range, enabling students to plot the process characteristics as a function of a particular variable. Students make the necessary calculations using the experimental results and write a report, including the statement of the problem and purpose of the work, process flow sheet calculations and plots based on the experimental results, and conclusions. An assignment must be stated in such a manner as to enable students to complete the experiment within six hours. Every student must carry out laboratory works from all six chapters, while particular assignments are given depending on his or her specialization.

Translated from the Russian by V. Vopyan

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Preface

Chapter 1. Noncatalytic Processes
Laboratory Work 1. Production of Phosphoric Fertilizers by Acid Decomposition of Natural Phosphates
Laboratory Work 2. Carbonization of Ammoniacal Brine
Laboratory Work 3. Froth-Bed Gas Absorption
Laboratory Work 4. Polycondensation of Dichloroethane and Sodium Polysulphide (Production of Polysulphide Rubbers or Thiokols)
Laboratory Work 5. The Kinetics of Sulphide Ore Roasting
Laboratory Work 6. The Kinetics of Dicalcium Silicate Formation
Laboratory Work 7. Coal Carbonization
Laboratory Work 8. Low-Temperature Carbonization
Laboratory Work 9. Pyrolysis of Petroleum Products
Laboratory Work 10. Studying the Oxidation Rate of Metals at Elevated Temperatures
Laboratory Work 11. Manufacture and Testing of Plastics

Chapter 2. Catalytic Processes
Laboratory Work 12. Catalytic Cracking of Petroleum Products
Laboratory Work 13. Contact Oxidation of Sulphur Dioxide
Laboratory Work 14. Oxidation of Ammonia
Laboratory Work 15. Dehydrogenation of Ethylbenzene
Laboratory Work 16. Catalytic Dehydrogenation of Alkylbenzenes
Laboratory Work 17. Dehydration and Dehydrogenation of Ethanol in the Production of Butadiene
Laboratory Work 18. Copolycondensation of Phenol and Formaldehyde
Laboratory Work 19. Catalytic Processes of Formaldehyde Production
A. Conversion of Methanol
B. Incomplete Oxidation of Methane
C. Conversion of Dimethyl Ether in a Fluidized Catalyst Bed
Laboratory Work 20. Esterification of Alcohols with Carboxylic Acids

Chapter 3. Automated and Computerized Apparatus
Laboratory Work 21. Automated Absorption Plants
Laboratory Work 22. Performance Analysis of Liquid-Phase Reactors
Laboratory Work 23. Optimization of a Contact Plant of Sulphuric Acid, Operating on a Double Contact-Double Absorption Principle
Laboratory Work 24. Analysis of Heterogeneous Catalytic Processes on an Automated Continuous-Circulation Plant
Laboratory Work 25. Analysis of Reactor Models
A. Continuous Tubular Reactor
B. Batch Perfectly Mixed Reactor
C. Continuous Perfectly Mixed Reactor and a Cascade of Reactors

Chapter 4. Electrochemical Processes
Laboratory Work 26. Electrolysis of Sodium Chloride Solution
Laboratory Work 27. Electrolysis of Lead Chloride Melt
Laboratory Work 28. Chromium Plating of Metals

Chapter 5. Preparation of Raw Materials and Material Analysis Techniques
Laboratory Work 29. Flotation
Laboratory Work 30. Water Treatment
Laboratory Work 31. Determination of Dispersity, Density of Solid Loose Materials, Density and Viscosity of Liquids
Laboratory Work 32. Analysis of the Porous Structure of Solids
A. Analysis of Porous Structure Using an Adsorption Vacuum System with a Quartz Spring Balance
B. Analysis of Secondary Structure of Porous Solids by Mercury Porometry
C. Determination of Specific Surface by the Low-Temperature Nitrogen Sorption Method
D. Determination of Specific Surface in a Chromatographic Vacuum
Laboratory Work 33. Analysis of Sorbent and Catalyst Structure by Electron Microscopy
Laboratory Work 34. Thermal Analysis
Laboratory Work 35. Analysis of Solid Materials by Infrared Spectroscopy
A. Location of the Maxima of the Main Absorption Bands in the Spectra of Known Compounds
B. Qualitative Analysis of a Mixture of Inorganic Salts by Infrared Spectra
C. Determination of the Structure of Inorganic Compounds from Infrared Spectra
Laboratory Work 36. Gas Analysis
Laboratory Work 37. Chromatographic Analysis of Multicomponent Gas and Liquid Mixtures
A. Effect of the Sample Injection Technique on the Accuracy of Analysis Results
B. Separation of Methane-Air Mixture
C. Qualitative and Quantitative Analysis of a Mixture of Aromatic Hydrocarbons
D. Analysis of a Mixture of Alkyl and Alkylene Benzenes
E. Separation and Quantitative Analysis of Mixtures Containing O₂, N₂, CO, CH₄, and CO₂

Appendix

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Foundations Of The Non Linear Theory Of Elasticity by V. V. Novozhilov

This book is based on a course of lectures given by the author in 1947 in the Mathematical-Mechanical Department of Leningrad National University. It is devoted to the exposition of the theory of elasticity without any assumptions restricting the magnitude of elongations, displacements, or angles of rotation. It also examines, in a general formulation, the connection between stresses and strains in an isotropic elastic body.

Translated from the First (1948) Russian Edition by F. Bagemihl, H. Komm, W. Seidel

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Contents

Preface

Chapter I. The Geometry of Strain
§ 1. Coordinates
§ 2. The Angles Determining the Directions of the Coordinate Lines
§ 3. Strain Components
§ 4. Transformation of Strain Components Under Change of Axes
§ 5. Principal Axes of Strain
§ 6. Transformation of the Parameters e_r and u Under Change of Coordinate Axes
§ 7. Geometrical Meaning of the Parameters
§ 8. Fibers Preserving Direction Under Deformation
§ 9. Invariants of Strain and Rotation
§ 10. The General Picture of the Deformation in the Neighborhood of an Arbitrary Point of the Body
§ 11. Change in Volume
§ 12. On the Magnitude of Elongations and Shears
§ 13. The Theory of Small Deformations
§ 14. The Case of Small Deformations and Small Angles of Rotation
§ 15. The Transition to the Equations of the Classical Theory
§ 16. On the Transition to Curvilinear Coordinates

Chapter II. The Equilibrium of an Element of Volume of a Body
§ 17. Stresses
§ 18. Formulas for Transformation of Stress Components Under Change of Coordinate System
§ 19. Conditions for Equilibrium of an Elementary Parallelepiped Isolated From a Deformed Body
§ 20. Transformation of the Equations of Equilibrium of an Element of Volume to the Cartesian Coordinates of the Points of the Body Before Its Deformation
§ 21. Simplification of the Equations of Equilibrium in the Case of Small Elongations and Shears
§ 22. Simplification of the Equations of Equilibrium for Small Rotations
§ 23. Transition to the Classical Equations of Equilibrium
§ 24. Transition to Curvilinear Coordinates

Chapter III. Strain Energy, Boundary Conditions, Stress-Strain Law
§ 25. Strain Energy
§ 26. The Principle of Virtual Displacements
§ 27. Derivation of the Differential Equations of Equilibrium of a Deformed Isotropic Body from the Principle of Virtual Displacements
§ 28. The Relation Between Stress and Strain Components
§ 29. Boundary Conditions
§ 30. The Simplification of the Derived Equations in the Case of a Small Deformation
§ 31. Hooke’s Law
§ 32. On the Applicability of Equations (III.38) to Elastic-Plastic Deformations
§ 33. On the Simplest Variants of Nonlinear Stress-Strain Relations
§ 34. Conclusion

Chapter IV. Formulation of Elastic Problems in Terms of Stresses
§ 35. Two Further Forms for the Equations of Equilibrium of a Volume Element
§ 36. Simplification of Equations (IV.7) and (IV.8) for Small Deformations
§ 37. Still Another Form of the Boundary Conditions
§ 38. Simplification of Equations (IV.7) and (IV.8) for Small Angles of Rotation
§ 39. The Generalization of Saint-Venant’s Relations to the Case of Large Rotations and Strains
§ 40. Simplification of the Equations (IV.26) for Small Deformations
§ 41. On the Formulation of the Problems of the Theory of Elasticity in Terms of Stresses and Strains

Chapter V. The Problem of Elastic Stability
§ 42. Nonuniqueness of Solutions in the Theory of Elasticity
§ 43. The Differential Equations Which Determine the Critical Loads
§ 44. Boundary Conditions of the Problem of Elastic Stability
§ 45. Energy Criterion for the Determination of Critical Loads

Chapter VI. On the Deformation of Flexible Bodies
§ 46. Deformation of Plates
§ 47. Two-Dimensional Deformation of an Infinitely Long Strip
§ 48. Deformation of Shells
§ 49. On the Nature of Kirchhoff’s Assumptions
§ 50. Deformation of Rods (First Approximation)
§ 51. Deformation of Rods (Second Approximation)
§ 52. Pure Torsion
§ 53. The Final Expressions for the Strain Components of a Thin Rod
§ 54. Conclusion

Bibliography

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