Abstract: The development of modern mechanics in recent years has made many importantprogresse in the concepts and methods for nonlinear large deforntation mechanics([1],[2],[3] etc.). The presenl paper is aimed to show how the natural co-moving systemmethod and Stokes-Chen,s decomposition theorem can be effectively appliedasymptotically to solving problems of finite defomation elasto-plasticity by inverseasymptotic method for enyineering design purpose. Rigid punch problem is exanipfifiedin the paper.

Key words: finite deformation, elasto-plasticity, computer method, inverse approximation