Resistance and Deformation of Solid Media

Resistance and Deformation of Solid Media

Pergamon Unified Engineering Series

1st Edition - January 1, 1974

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  • Author: Daniel Rosenthal
  • eBook ISBN: 9781483145716

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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

  • Preface


    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



Product details

  • No. of pages: 372
  • Language: English
  • Copyright: © Pergamon 1974
  • Published: January 1, 1974
  • Imprint: Pergamon
  • eBook ISBN: 9781483145716

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 Editors

Thomas F. Irvine

Affiliations and Expertise

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

James P. Hartnett

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