A NUMERICAL ANALYTICAL SPLITTING METHOD FOR MODELLING QUASISTATIC DEFORMATION PROCESSES OF DAMAGING MATERIALS

Abstract

A numerical analytical splitting method is developed for solving quasistatic problems of deforming fracture, accounting for the damaging properties of the material. The method was introduced by V.N. Kukudzhanov for solving elastoplastic dynamic problems. Later it was extended to a FEManalysis of quasistatic elastoplastic problems having internal variables with Mises yield condition. The method is applied to modeling the localization and continual fracture processes. The method has computational advantages over the most efficient method currently available.