Implicit iterative finite element scheme for a strain gradient crystal plasticity model based on self-energy of geometrically necessary dislocations

Kametani, Ryushin; Kodera, Kazuki; Okumura, Dai; Ohno, Nobutada

doi:10.1016/j.commatsci.2011.08.029

Cited by 11 publications

(1 citation statement)

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“…Nonrecoverable defect energies means, however, that the same value of the defect energy is not necessarily obtained after such a loading cycle. In [42], it is shown that the defect energy proposed by [43] (see also [44]), is recoverable but non-differentiable for vanishing slip gradients. It is shown there, that the defect energy by [40], which is linear in the accumulated dislocation densities is, however, recoverable.…”

Section: Introductionmentioning

confidence: 98%

Power-law defect energy in a single-crystal gradient plasticity framework: a computational study

Bayerschen

Böhlke

2016

Comput Mech

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A single-crystal gradient plasticity model is presented that includes a power-law type defect energy depending on the gradient of an equivalent plastic strain. Numerical regularization for the case of vanishing gradients is employed in the finite element discretization of the theory. Three exemplary choices of the defect energy exponent are compared in finite element simulations of elastic-plastic tricrystals under tensile loading. The influence of the power-law exponent is discussed related to the distribution of gradients and in regard to size effects. In addition, an analytical solution is presented for the single slip case supporting the numerical results. The influence of the power-law exponent is contrasted to the influence of the normalization constant.

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