Resistance and Deformation of Solid Media

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.

Inhalt

Preface
Introduction
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 In…