Homogenised elasto-viscoplastic material modelling of thick perforated plates at high temperature

In this study, homogenised elasto-viscoplastic behaviour of thick perforated plates at high temperature was investigated for macro-material modelling. Homogenised stress strain relations of a periodic unit cell of thick perforated plates subjected to simple and complex loading were analysed using a homogenisation method for periodic solids. The base metals of perforated plates were assumed to exhibit elasto-viscoplasticity based on Hooke's law and Norton's power-law, and the material parameters of modified 9Cr-1Mo steel at 550 degrees C were employed. The resulting homogenised stress strain relations were simulated using a recently developed elasto-viscoplastic macro-material model based on a general form of the quadratic equivalent stress. It has been shown that this macro-model successfully represents the macro-anisotropy and macro-volumetric compressibility that were revealed by the homogenisation analysis in uniaxial, biaxial and triaxial stress states.