Computation al micro-macro-transitions in thermoplastic analysis at finite strains

摘要

We discuss aspects of the formulation and numerical implementation of homogenization methods for the simulation of macroscopic thermomechanical material response of heterogeneous materials. Homogenization approaches based on average theorems as outlined e.g. by Hill [2], Suquet [10], Bruhns [1], Nemat-Nasser and Hori [8] are recast into a straightforward computational procedure for micro-macrotransitions at large strains. The proposed concept is suitable for the numerical analysis of macroscopic phenomena of materials with complex microstructures, such as texture developments in metallic polycrystals or overall properties of granular and composite materials.