On a Mass Conservation Criterion in Micro-to-Macro Transitions

摘要

In order to characterize the macroscopic behavior of a microscopically heterogeneous material, a homogenization methodology is typically employed where a micromechanical sample is identified and tested. See Refs. [1-4] for details and extensive references. This micromechanical testing (micro-to-macro transition) procedure for solids at finite deformations is governed by certain criteria. The fundamental criterion to be satisfied is a micro-macro work balance in the incremental form {sub}(v{sub}0)=P{top}-·dF{top}- (1)