Global constitutive behavior of periodic assemblies of inelastic bodies in contact

This work attempts to capture the macroscopic behavior of inelastic bodies in contact by means of a numerical homogenized constitutive relation. The analysis is restricted to small strains, plane problems, and monotonic proportional loadings. An important feature of this work is the quasi-static factional contact analysis of the microstructure composed of deformable inelastic bodies by means of a parametric quadratic programming principle and its corresponding algorithm in numerical analysis. Two numerical examples are given to demonstrate the efficiency of the algorithm presented in this article.