Strength of Materials

1st Edition - January 1, 1967
Authors: A. A. Ilyushin, V. S. Lensky
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 5 1 1 5 - 1

Strength of Materials focuses on the resistance or strength of materials, which is described as the study of solid bodies under the action of external forces under working… Read more

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Strength of Materials focuses on the resistance or strength of materials, which is described as the study of solid bodies under the action of external forces under working conditions, and of their resistance to deformation and failure. This book discusses problems on the equilibrium and stability of simple structural elements under elastic and elastic-plastic deformation, including the plastic flow of materials under pressure; creep and dynamic resistance of materials; vibrations and propagation of elastic and plastic waves; and effect of temperature, rate of deformation, and radiation on the strength and plasticity of materials. A description of the experimental techniques used in investigating the mechanical properties of materials is also outlined in this text. This publication is a good material in training research specialists in universities and technical institutes regarding the mechanics of solid deformable bodies.

Preface

Introduction

Chapter I. Stresses and Strains

1. Structural Characteristics of Materials

2. Internal Interaction of Particles in a Body

3. Investigation of the State of Stress at a Point

4. Principal Normal and Shearing Stresses

5. Octahedral Stresses

6. Deformation in the Neighborhood of a Point

7. The Work done by Internal Forces

8. External Forces

9. Examples of Surface Forces

10. Body Forces

11. Examples of Mass Forces

12. Equilibrium Conditions and the General Method for finding Stresses, Strains, and Displacements in a Body

13. Problems for Solution on Chapter I

Chapter II. Elasto-plastic Deformation of Rods

1. The Mechanical Properties of Various Materials

2. The Effect of Various Factors on the Mechanical Properties of Materials

3. The Mechanism of Plastic Deformation

4. Rods of Variable Cross-section. The Method of Elastic Solutions

5. Frameworks

6. The Solution of Pin-jointed Frameworks

7. The Resistance of a Material to Shear

8. Torsion of a Circular Rod

9. Combined Stress State in a Beam

10. Stresses and Strains in a Beam

11. Eccentric Loading. Core Points

12. The Carrying Capacity of a Beam

13. The Deflection of a Beam

14. A Beam on an Elastic Foundation

15. Longitudinal-Transverse Bending. The Stability of a Beam in Compression

16. The Stability of a Rod beyond the Elastic Limit

Chapter III. Elasticity and Plasticity in a State of Compound Stress

1. Three-dimensional Elasticity of Materials

2. General Properties of Elasto-plastic Strains in Solid Bodies

3. P-p Experiments

4. P-M Experiments and the Basic Principles of Plasticity

5. The Generalization of Hooke'sLaw and the Laws of Small Elasto-plastic Strains

6. The Conditions of Plasticity

7. Deformation of a Pipe under Internal and External Pressure (Lamé's Problem)

8. Plastic Deformation of a Hollow Sphere

9. Thin-walled Containers

10. Shearing Stress Distribution in a Beam

Chapter IV. Plastic Flow

1. The Strength and Plasticity of a Heated Metal

2. Finite Strains and the Tensor of Rate of Deformation

3. The Relation between Stresses and Strains in the Theory of Plastic Flow

4. Surface Friction

5. The Compression of a Strip between Rigid Plates

6. Extrusion of Plates and Strips

7. Flow over Rigid Plane Surfaces

8. Examples

Chapter V. Creep of Materials

1. Dependence of the Properties of Materials on Time

2. Mechanical Theories of Creep

3. Creep in a State of Compound Stress

4. A Tube under Pressure (Plane Strain)

5. The Method of Similarity in the Determination of Steady Creep

Chapter VI. Dynamic Resistance of Materials

1. Dynamic Forces of Resistance

2. The Effect of Rate of Strain on the Yield Point

3. The Effect of Rate of Strain on the Ultimate Tensile Stress

4. Delayed Yield and Delayed Failure

5. Stress-Strain Curve for Dynamic Loading

6. The Theory of Impact

7. Longitudinal Waves in Rods

8. Transverse Waves

9. Reflection of Longitudinal Elastic Waves

10. Impact of a Rod on a Stationary Obstacle

11. The Measuring Rod Theory

12. Derivation of the Dynamic σ~Σ Diagram from the Distribution of Residual Strains

13. The Method of Impulses

14. Spalling and Resistance to Bursting

15. Hollow Charges

16. Penetration of one Body by Another

17. Impact on Structures

Chapter VII. Vibrations of Elastic Bodies and Fatigue of Materials

1. The Behavior of Materials and Structures under Oscillating Loads

2. Longitudinal Standing Waves and Longitudinal Vibrations in Rods

3. Torsional Vibrations in Rods

4. Bending Oscillations in Rods

5. Fatigue

6. Factors influencing Fatigue Characteristics

7. The Development of Fatigue Failures

Chapter VIII. Methods and Equipment for Mechanical Testing

1. Introduction

2. Preparation of the Specimen

3. Geometry of the Specimen

4. Static Testing Machines

5. Dynamic Testing Machines

6. The Measurement of Small Displacements

7. Force Measuring Devices

8. Mechanical, Optical and Optical-Mechanical Methods of Measuring Strains

9. Electrical Methods of Measuring Strains

10. The Photo-elastic Method of Stress Analysis

11. Photographic Recording

Index