A variational-based homogenization model for plastic shakedown analysis of porous materials with a large range of porosity

In this paper, a new homogenization model is developed for the determination of macroscopic shakedown limit state for porous media subjected to general cyclic loads. Based on the variational principle over the stabilized cycle, a new macroscopic fatigue criterion is established, beyond which the collapse of material will occur due to fatigue. Unlike the classical Melan’s theory by statical approaches relying on the complex construction of a...