A porous crystal plasticity constitutive model for ductile deformation and failure in porous single crystals

Abstract

This work presents a porous crystal plasticity model which incorporates the necessary mechanisms of deformation and failure in single crystalline porous materials. Such models can play a significant role in better understanding the behaviour of inherently porous materials which could be an artefact of manufacturing process viz. 3D metal printing. The presented model is an extension of the conventional crystal plasticity model. The proposed model includes the effect of mechanics-based quantities, such as stress triaxiality, initial porosity, crystal orientation, void growth and coalescence, on the deformation and failure of a single crystalline material. A detailed parametric assessment of the model has been presented to assess the model behaviour for different material parameters. The model is validated using uniaxial data taken from literature. Lastly, model predictions have been presented to demonstrate the model’s ability in predicting deformation and failure in polycrystalline sheet materials.