Adaptive convexification of microsphere-based incremental damage for stress and strain softening at finite strains

Abstract The brief history of relaxation in continuum mechanics ranges from early application non-convex plasticity and phase transition formulations to small large strain damage mechanics. However, relaxed are still limited the following sense that their material response lack model softening convexification incremental stress potential is computationally costly. This paper presents a reduced for at finite strains which includes by fiber-specific microsphere approach. Computational efficiency achieved novel adaptive algorithms fast one-dimensional fiber model. benchmarked against state-of-the-art methods, choice quadrature schemes approach discussed. contribution finalized mesh independence test.