RETURN-MAPPING ALGORITHM FOR 1-D ELASTIC-PLASTIC PROBLEM

Abstract

We present the system of local constitutive equations of the one dimension elastic-plastic problem, after that we prove the existence and uniqueness, contractivity of the solution, next we describes the algorithm return-mapping for plastic-isotropic hardn-ing. Finally we show that by minimizing the complementary energy functional, we obtain equivalent result with the algorithm return-mapping.