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

Authors

  • D. M. Kochmann
  • K. Hackl

Abstract

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.

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Published

2019-07-30

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: https://journals.ub.ovgu.de/index.php/techmech/article/view/807 (Accessed: 18 July 2024).

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