An implicit gradient plasticity–damage theory for predicting size effects in hardening and softening

摘要: An implicit gradient plasticity–damage theory is constructed, which can capture size effects in hardening plasticity, as well regularise the localisation of deformation due to softening. In hardening, boundary layers finite thickness are formed constraints imposed on plastic deformation. Upon softening, a band emerges. Both thicknesses governed by an intrinsic length scale incorporated via formalism. Numerical solutions for constrained layer simple shear illustrate typical responses obtained. As varied, predicted damage evolution progresses, strain distribution progressively localises, culminating discrete crack.