A new approach for advanced plasticity and fracture modelling

Abstract

A solution to the challenge of modelling the general yielding behaviour including fracture initiation is proposed based on non-associated flow rule. A decoupled formulation with employment of a Lagrangian interpolation function is established to develop a general fracture criterion that considers the mutual effect of the material anisotropy, the strain rate, and the temperature on the onset of fracture. An advanced constitutive law is also developed to accurately describe the evolution of the anisotropy/asymmetry-induced distortional yielding behaviour, using neither any interpolation nor optimization techniques for the calibration of the yield surface. The proposed models are successfully applied to various types of metallic materials to validate their noticeable flexibility and applicability in describing the general material behaviour during various forming processes.