ABSTRACT

This chapter extends the developments in Chapter 5 to include small deformation elasto-plasticity in the 2D Voronoi cell finite element model (VCFEM) of heterogeneous microstructures. VCFEM formulations for nonlinear constitutive models have been developed in [149, 150, 276, 313]. VCFEM for rate-dependent elastic-viscoplasticity will be considered in Chapter 12 in the context of ductile fracture. The chapter introduces an incremental formulation extension of the VCFEM formulation in Chapter 5.