a stochastic approach to capture crystal plasticity

a stochastic crystal plasticity model is proposed and applied within the rate-independent regime. as opposed to conventional deterministic algorithms wherein multiple slip systems are activated and redundant constraints may exist, the new monte carlo plasticity (mcp) paradigm is based on a stochastic chain of singly activated slip systems and thus avoids the possible ill-condition associated with multi-slip algorithms. the choice of the activated slip system is made at each monte carlo (mc) step based on the metropolis algorithm. the mcp model is implemented within a material point method (mpm) as a constitutive model to capture the elasto-plastic behavior of polycrystalline materials. a comparison with a commonly used singular value decomposition (svd) algorithm indicates that mcp offers superior computational efficiency while maintaining comparable accuracy.