An Overview of Stress-Strain Analysis for Elasticity Equations

Abstract

The present chpter contains the analysis of stress, analysis of strain and stress-strain relationship through particular sections. the theory of elasticity contains equilibrium equations relating to stresses, kinematic equations relating to the strains and displacements and the constitutive equations relating to the stresses and strains. Concept of nomral and shear stress, principal stress, plane stress, Mohr's circle, stress invariants and stress equilibrium relations are discussed in aanalysis of stress section while strain-displacement relationship for nomral and shear strain, compatibility of strains are discussed in analysis of strain section through geometrical representations. Linear elasticity, generalized Hooke's law and stress-strain relations for triclinic, monoclinic, orthotropic, transverely isotropic, fiber-reinforced nad isotropic materials with some important relations for elasticity are discussed.