Numerical analysis of damage evolution for materials with tension-compression asymmetry

Abstract

In recent decades, with the increasing attention to the carbon emission problem and shortage of energy, the development of lightweight metallic materials with Hexagonal closed packed (HCP) crystal structures, such as magnesium and titanium alloys, has become an important topic of research. The study and prediction of their mechanical behavior has become increasingly more important and has attracted growing interest in both academic and industrial communities. Metallic materials with a Hexagonal closed packed (HCP) crystallographic microstructure have an unconventional mechanical behavior including an anisotropic plastic response and a strength differential effect (SD) in tension and compression. This behavior poses considerable challenges that are intensified in the presence of microstructural damage processes.In this contribution, a fully coupled continuum damage model with elasto-plastic Cazacu’s orthotropic plasticity criterion has been implemented. The coupling between damaging and material behaviour is accounted for within the framework of Continuum Damage Mechanics (CDM). The closest point projection methods (CPPM) are used to implement the continuum damage constitutive model in an implicit quasi-static finite element environment to update stress and state variables. Finite element simulation of damage evolution and fracture initiation in ductile solids is investigated. The results obtained are compared against both numerical and experimental results available in the literature and good agreement is found between them.