Coupled damage-plasticity based constitutive modeling of metallic membrane element under cyclic loading

Micromechanics is employed in order to define the whole nonlinear inelastic behavior of a structure at meso/macro scale level where the presence of the inelastic phenomena (plasticity and/or damage) affects the material constitutive response depending on the loading conditions. This concept is important in the design of civil and mechanical engineering applications. This study illustrates a comprehensive theoretical formulation for a coupled damage-plasticity model and its numerical implementation under an extreme loading type such as an earthquake, which causes cyclic response and can lead to failure. Irreversible plastic deformation by plasticity, elastic response modification by the damage and the cyclic accumulation of deformation are modeled. A couple of numerical examples are presented in order to show the capability and efficiency of the proposed model for 2D membrane element, by using the operator split methodology.