The main aim of this book is to demonstrate the fundamental theory of advanced solid mechanics through simplified derivations with details illustrations to deliver the principal concepts. It covers all conceptual principals on two- and three-dimensional stresses, strains, stress-strain relations, theory of elasticity and theory of plasticity in any type of solid materials including anisotropic, orthotropic, homogenous and isotropic. Detailed explanation and clear diagrams and drawings are accompanied with the use of proper jargons and notations to present the ideas and appropriate guide the readers to explore the core of the advanced solid mechanics backed by case studies and examples. Aimed at undergraduate, senior undergraduate students in advanced solid mechanics, solid mechanics, strength of materials, civil/mechanical engineering, this book
Provides simplified explanation and detailed derivation of correlation and formula implemented in advanced solid mechanics
Covers state of two and three-dimensional stresses and strains in solid materials in various conditions
Describes principal constitutive models for various type of materials include of anisotropic, orthotropic, homogenous and isotropic materials.
Includes stress-strain relation and theory of elasticity for solid materials.
Explores inelastic behaviour of material, theory of plasticity and yielding criteria.
Author(s): Farzad Hejazi and Tan Kar Chun
Publisher: CRC Press
Year: 2021
Language: English
City: Boca Raton
Cover
Half Title
Title Page
Copyright Page
Contents
List of Figures
List of Tables
Authors
1. Introduction
1.1. Matter
1.2. Location as a factor affecting material properties
1.2.1. Heterogeneous Material
1.2.2. Homogeneous Material
1.3. Orientation as a factor affecting material properties
1.3.1. Anisotropic Material
1.3.2. Orthotropic Material
1.3.3. Isotropic Material
2. Stress
2.1. Force and stress
2.2. Components of stress
2.3. Stress equilibrium equation
2.4. Stress transformations
2.5. Principal stress and maximum shear stress
2.6. Deviatoric stress
2.7. Octahedral stress
2.8. Plane stress
3. Strain
3.1. Deformation and Strain
3.2. Lagrangian description
3.3. Strain Compatibility Equation
3.4. Strain Transformation
3.5. Principal Strain and Maximum Shear Strain
3.6. Deviatoric Strain
3.7. Octahedral Strain
3.8. Plane Strain
4. Stress--Strain Relationships
4.1. Types of relationships
4.2. Generalised stress-strain relationship
4.3. Material with symmetrical properties about z axis
4.4. Orthotropic material
4.5. Orthotropic material with same properties along y and z axes
4.6. Homogeneous material
4.7. Isotropic material
4.8. Plane stress and plane strain for an isotropic material
5. Solutions for Elasticity
5.1. Introduction
5.2. Stress-displacement relationship
5.3. Navier equations
5.4. Beltami-Michell stress compatibility equations
5.5. Airy stress function
6. Solutions for Plasticity
6.1. Introduction
6.2. Yields criteria
6.2.1. Tresca Yields Criterion
6.2.2. Von Mises Yields Criterion
6.3. Plastic work
6.4. Associated flow rule
6.5. Hardening effect
Index
