A bipotential-based macroscopic fatigue criterion of porous materials with a pressure-sensitive and non-associated plastic solid matrix and comparison with numerical simulation

The formulation of macroscopic strength criteria under cyclic loading ductile porous media containing a pressure sensitive and non-associated plastic matrix is still pending issue. In this paper, new approach developed by using the bipotential theory. framework, non Generalized Standard Materials (GSM) are transformed into class Implicit (ISM), allowing recovery flow rule normality in weak form an implicit relation. classical shakedown theorems extended to homogenization ISM. solution thick wall tube uniform established with assumption vanishing strain increment over single stabilized cycle. A fatigue criterion further delivered for first time materials Drucker–Prager type solid matrix. It now possible separate effects frictional dilatancy angles. found that limit load hydrostatic only related friction angle, but not one. safety domain defined general loads comparatively reduced decrease angle. fully assessed comparing theoretical predictions FEM-based step-by-step simulations different values porosity Finally, can also be applied associated as special case it significantly improves accuracy provided previous works based on Melan’s static theorem.