Constitutive modeling of functionally graded material and its application to fracture in FGM

摘要

An analytical methodology is shown for studying a crack in a functionally graded material subjected to an intense thermal shock load. A theoretical elastoplastic material modeling of the functionally graded material is presented. Also independently a computational procedure of an elastoplastic constitutive law is introduced with the use of a micromechanics analysis and a hierarchical neural network algorithm. The material is composed of ZrO_2 and Ti-6Al-4V, where the plastic flow is considered to occur in the titanium alloy phase. To detect the crack-tip fracture severity in the highly inhomogeneous media, T integral parameter is employed for the thermal shock problem of the cracked material.