Mechano: Stress and Strain

Abstract

This chapter discusses the mechanical response, which pertains to the mechanical field in the context of multiphysics. We will first introduce the stress concept including its physical meaning and mathematical formulations. Then the concept of strain and its relationship to the displacement including the small strain theory will be explained. Followed will be the introduction to the constitutive relationship for linear elasticity. The stress, strain, and constitutive relationship will be integrated into the mechanical balance equation to obtain the governing equation for the mechanical field. Finally, an example will be given to demonstrate the implementation of the mechanical field.