Resistance and Deformation of Solid Media - 1st Edition - ISBN: 9780080171005, 9781483145716

Resistance and Deformation of Solid Media

1st Edition

Pergamon Unified Engineering Series

Authors: Daniel Rosenthal
Editors: Thomas Irvine James P. Hartnett
eBook ISBN: 9781483145716
Imprint: Pergamon
Published Date: 1st January 1974
Page Count: 372
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Resistance and Deformation of Solid Media is an introduction to the analysis of the resistance and deformation of solid media, specifically when they behave under the application of external loading.
The book includes different concepts such as the elastic, plastic, and viscous properties of different solid materials; the basic principles of equilibrium of forces and movements; continuity and deformation; the homogenous, uniaxial, and biaxial states of strain and stress with different materials; structural and material instability; and fracture.
Aimed not only for future structural engineers but also all future engineers, this book provides information on the mechanical behavior of solid media and prepares its readers to a more advanced unified field theory.

Table of Contents



Concepts and Definitions

The Particulate and the Continuum

Chapter 1 Elasticity

1-1 Coulomb's Law

1-2 Electrostatic Repulsion

1-3 Small Deformations, Hooke's Law

1-4 Stress and Strain

1-5 Bulk Modulus B

1-6 Ionic Crystals

1-7 Lateral Contraction: Poisson's Ratio

1-8 Bulk Modulus B and Young's Modulus E

1-9 Anisotropy of E: The Quasi-Isotropy

1-10 Shear Modulus G

1-11 Modulus of Elasticity and Periodic Table

1-12 Work of Deformation and Elastic Energy

1-13 Concluding Remarks

1-14 Problems

Chapter 2 Plasticity

2-1 Perfect Crystals

2-2 Defective Crystal: Dislocation

2-3 Strain Hardening

2-4 Mechanism of Slip in Uniaxial Tension

2-5 Relation between Shear Strain and Axial Strain

2-6 Relation between Shear Stress and Axial Stress

2-7 Plastic Stress-Strain Diagram

2-8 Actual Stress-Strain Diagram

2-9 Conventional and True Stress

2-10 Work of Deformation

2-11 The Dissipative and Recoverable Components

of Work of Deformation

2-12 Concluding Remarks

2-13 Problems

Chapter 3 Viscosity and Creep

3-1 Laminar Flow and Newton's Law of Viscosity

3-2 Coefficient of Viscosity

3-3 Poise and Centipoise

3-4 Range of Variation

3-5 Effect of Temperature

3-6 Coefficient of Fluidity: Kinematic Viscosity

3-7 Illustrative Example

3-8 Non-Newtonian Liquids

3-9 Viscoelasticity

3-10 Stress Relaxation: Relaxation Time

3-11 Illustrative Examples

3-12 Recoverable Creep (Delayed Elasticity)

3-13 Permanent Creep

3-14 Power of Deformation

3-15 Concluding Remarks

3-16 Problems

Chapter 4 Basic Principles

4-1 Principles of Equilibrium of Forces and Moments

4-2 Principle of Continuity of Deformation

4-3 Assumption of Small Deformations

4-4 Problems

Chapter 5 Homogeneous State

5-1 Stress at a Point: Macroscopic Approach

5-2 Prismatic Bars Under Axial Loading

5-3 Statically Determinate and Statically Indeterminate Structures

5-4 Illustration of a Statically Indeterminate Structure

5-5 Composite Bars

5-6 Thermal Stresses in Bars

5-7 Thin-Wall Pressure Vessels

5-8 Spherical Pressure Vessels

5-9 Torsion of Thin-Wall Tubes

5-10 Problems

Chapter 6 Uniaxial State: Plane Bending

6-1 Pure Bending

6-2 Bernouilli's Hypothesis

6-3 Equilibrium of Forces and Moments

6-4 Elastic Bending

6-5 Viscous Bending

6-6 Viscoelastic Bending

6-7 Recoverable Creep in Bending

6-8 Incipient Plastic Deformation

6-9 Distortion of the Cross Section: Anticlastic Surface

6-10 Bending by Transverse Forces

6-11 Bending by Distributed Forces

6-12 Illustrative Examples

6-13 Beams of Variable Cross Section

6-14 Deflection of Beams

6-15 Work of Deformation in Bending

6-16 Virtual Work in Bending

6-17 Virtual Work and Beam Deflection

6-18 Virtual Work and Statically Indeterminate Beams

6-19 Problems

Chapter 7 Uniaxial State (Continued): Torsion of Circular Cylinders

7-1 Stresses and Angle of Twist

7-2 Work of Deformation in Torsion

7-3 Virtual Work

7-4 Problems

Chapter 8 Uniaxial State (Concluded): Linear Beam Theory

8-1 General Expression of Bernouilli's Hypothesis

8-2 Conditions of Equilibrium

8-3 Elastic Deformation

8-4 Unsymmetrical Bending: Principal Axes and Moments of Inertia

8-5 The Most Economical Utilization of a Beam in Bending

8-6 Deflection in Unsymmetrical Bending

8-7 Thermal Stresses

8-8 Composite Beam

8-9 Problems

Chapter 9 Biaxial State of Stress

9-1 Notations

9-2 Sign Convention

9-3 Stresses at a Point

9-4 Reciprocity of Shear Stresses

9-5 Principal Planes: Directions and Stresses

9-6 Mohr Circle of Stress

9-7 Sign of the Shear Stress

9-8 Maxima and Minima of the Normal and Shear Stresses: Invariants

9-9 Illustrative Examples

9-10 Stress Tensor

9-11 Illustrative Example: Tensor of Moment of Inertia

9-12 Problems

Chapter 10 Biaxial State of Strain

10-1 Notations

10-2 Strain at a Point

10-3 Tensor of Strain

10-4 Principal Directions and Strains

10-5 Use of the Mohr Circle of Strain

10-6 Shear Strain ?xy and Distortion Angle ?xy

10-7 Sign Convention

10-8 Maximum Shear Strain

10-9 Problems

Chapter 11 Elementary Application of a Biaxial State of Stress and Strain

11-1 States of Stress and Strain near the Surface the Triplet of Mohr Circles

11-2 Uniaxial Tension

11-3 Torsion of Circular Shafts

11-4 Shear Stresses in Bending

11-5 Combined Shear and Bending

11-6 Combined Torsion and Bending

11-7 Problems

Chapter 12 Three-Dimensional State of Stress

12-1 Notations

12-2 Three-Dimensional Stress Tensor

12-3 Principal Stresses and Directions

12-4 Magnitude and Directions of Any Stress Vector in Terms of Principal Stresses

12-5 Any Normal Stress in Terms of Principal Stresses

12-6 Total Shear Stress ?nn in Plane n

12-7 Maximum and Minimum Values of the Normal Stress

12-8 Maximum Value of the Shear Stress

12-9 Octahedral Stresses

12-10 Existence of Principal Stresses and Direction

12-11 Uniqueness of the Principal Stresses

12-12 Problems

Chapter 13 Three-Dimensional State of Strain and Strain Rate

13-1 Tensor of Strain

13-2 Any Strain Vector in Terms of Principal Strains

13-3 Any Normal Strain in Terms of Principal Strains

13-4 Total Shear Strain and Distortion Angle

13-5 Maximum and Minimum Values of Normal Strain

13-6 Principal Values of the Distortion Angle

13-7 Octahedral Strain and Distortion Angle

13-8 Mohr Circle of Strain

13-9 Tensor of Strain Rate

13-10 Problems

Chapter 14 Stress-Strain Relations

14-1 Generalized Hooke's Law

14-2 Generalized Newton's Law of Viscosity

14-3 Viscoelasticity

14-4 Problems

Chapter 15 Stress-Strain (Strain-Rate) Relations in Plastic Fields

15-1 Criterion of Yielding

15-2 Plasticity Laws

15-3 Problems

Chapter 16 Stress-Strain Relations in Monotonically Increasing Plastic Fields

16-1 True Stress and Strain

16-2 Stress-Strain Relations

16-3 Illustrative Examples

16-4 Relations Between Linear and Natural Strain Components

16-5 Problems

Chapter 17 Particular Solutions of Three-Dimensional Heterogeneous States of Stress and Strain: Thick-Wall Cylinders

17-1 Types of Deformation in Pressure Vessels

17-2 Compatibility of Strains and Strain Rates

17-3 Equilibrium of Forces

17-4 Elastic Vessel

17-5 Viscous Vessel

17-6 Plastic Vessel

17-7 Partly Plastic Tube

17-8 Problems

Chapter 18 Structural Instability

18-1 The Snap-Through Instability

18-2 Tensile Plastic Instability

18-3 Elastic

18-4 Critical Buckling Stress

18-5 Effect of Initial Eccentricity

18-6 Incidence of Plastic Deformation

18-7 Strain Hardening

18-8 Viscous Column

18-9 Viscoelastic Column

18-10 Recoverable Creep in Buckling

18-11 Plastic Instability of Thin-Wall Pressure Vessels

18-12 Plastic Instability of Thick-Wall Pressure Vessels: No Strain Hardening

18-13 Problems

Chapter 19 Material Instability and Fracture

19-1 Theoretical Fracture Stress

19-2 Brittle Fracture

19-3 Incipient Plastic Deformation

19-4 Fatigue Fracture




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About the Author

Daniel Rosenthal

Affiliations and Expertise

Associate Radiologist-in-Chief and Director of Bone and Joint Radiology, Massachusetts General Hospital; Associate Professor of Radiology, Harvard Medical School, Boston, MA

About the Editor

Thomas Irvine

Affiliations and Expertise

Department of Mechanical Engineering State University of New York at Stony Brook Stony Brook, New York

James P. Hartnett

Ratings and Reviews