This study concerns the modeling of the damage induced by a complex history of thermo-elasto-plastic multiphase in heat-affected-zone (HAZ) of welding. In this work, a twoscale model of elasto-plastic damaged multiphase is developed. The constitutive equations of the model are a coupling between the ductile damage, elasto-plastic deformations and phase transformation.
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Wu et al. (2008) studied this question.