Influence of hardening on the cyclic behavior of laminate microstructures in finite crystal plasticity


  • D. M. Kochmann
  • K. Hackl


We investigate the cyclic behavior of laminate microstructures in finite-strain crystal plasticity and the resulting stress-strain response, based on a variational, incremental description of the microstructure evolution. The nonconvex free energy density in multiplicative single- and multi-slip plasticity gives rise to the formation of fine-scale deformation structures, experimentally observed as complex material microstructures. Here, we treat first-order laminate microstructures and model their origin and their subsequent evolution. Interestingly, the cyclic behavior of such microstructures has been reported to exhibit a gradual degeneration of the laminate as well as of the stress-strain hysteresis loop, leading to an elastic shakedown. However, previous results have predicted the occurrence of this final, steady state within a few load cycles, which has appeared physically doubtful. Therefore, we analyze here the influence of work hardening in single-slip and of latent hardening in double-slip plasticity on the laminate microstructures and the corresponding stress-strain responses during cyclic loading. Results indicate that the amount of hardening considerably affects the rate at which the stress-strain hysteresis and the laminate degenerate.




How to Cite

Kochmann, D. M. and Hackl, K. (2019) “Influence of hardening on the cyclic behavior of laminate microstructures in finite crystal plasticity”, Technische Mechanik - European Journal of Engineering Mechanics, 30(4), pp. 387–400. Available at: (Accessed: 18 July 2024).