Advanced Solid Mechanics: Simplified Theory:Simplified Theory

Matter Location as a factor affecting material properties Heterogeneous Material Homogeneous Material Orientation as a factor affecting material properties Anisotropic Material Orthotropic Material Isotropic Material Stress Force and stress Components of stress Stress equilibrium equation Stress transformations Principal stress and maximum shear stress Deviatoric stress Octahedral stress Plane stress Strain Deformation and Strain Lagrangian description Strain Compatibility Equation Strain Transformation Principal Strain and Maximum Shear Strain Deviatoric Strain Octahedral Strain Plane Strain Stress-Strain Relationships Types of relationships Generalised stress-strain relationship Material with symmetrical properties about z axis Orthotropic material Orthotropic material with same properties along y and z axes Homogeneous material Isotropic material Plane stress and plane strain for an isotropic material Solutions for Elasticity Stress-displacement relationship Navier equations Beltami-Michell stress compatibility equations Airy stress function Solutions for Plasticity Yields criteria Tresca Yields Criterion Von Mises Yields Criterion Plastic work Associated flow rule Hardening effect