Strength of Materials

Strength of Materials

1st Edition - January 1, 1967

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  • Authors: A. A. Ilyushin, V. S. Lensky
  • eBook ISBN: 9781483151151

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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.

Table of Contents

  • Preface


    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


Product details

  • No. of pages: 452
  • Language: English
  • Copyright: © Pergamon 1967
  • Published: January 1, 1967
  • Imprint: Pergamon
  • eBook ISBN: 9781483151151

About the Authors

A. A. Ilyushin

V. S. Lensky

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