Mesoscale/Macroscale Computational Methods

Abstract

The central idea of this chapter is the multiscale aspect of the constitutive relations for plasticity, damage/fracture, and fatigue. In continuum mechanics, the constitutive relations are required to complete the set of governing equations in concert with the conservation equations of mass, momentum, and energy. The constitutive equations essentially distinguish the material in the modeling framework. The particular constitutive relations focused on in this chapter relate to thermodynamically dissipating materials with the perspective of mesoscale and macroscale analyses.