000015490 001__ 15490
000015490 005__ 20161115100223.0
000015490 04107 $$aeng
000015490 046__ $$k2016-08-21
000015490 100__ $$aPapoulia, Katerina
000015490 24500 $$aNon-differentiable energy minimization for cohesive fracture

000015490 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015490 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015490 506__ $$arestricted
000015490 520__ $$2eng$$aA potential-based formulation for an initially rigid cohesive fracture model is proposed. The key feature is a term for the energy stored in the cohesive interfaces that is nondifferentiable at the origin. A consequence of this formulation is that the activation computation necessary in previous initially rigid formulations is now replaced by the computation of a minimizer of a nondifferentiable objective function. This immediately makes the method more amenable to implicit time stepping, since the activation criterion no longer interacts with the nonlinear solver for the next time step. The algorithm also sidesteps the complexities of time-discontinuity and tractionlocking previously observed in relation to initially rigid models. The optimization problem is reformulated as a nonlinear second-order cone programming problem. This reformulation allows the nondifferentiability created by the square-root terms in the potential to be treated in a well-understood conic programming framework and addressed with an interior point method.

000015490 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015490 653__ $$a

000015490 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015490 720__ $$aPapoulia, Katerina
000015490 8560_ $$ffischerc@itam.cas.cz
000015490 8564_ $$s111363$$uhttps://invenio.itam.cas.cz/record/15490/files/TS.SM15-5.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2901, code TS.SM15-5.02
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000015490 962__ $$r13812
000015490 980__ $$aPAPER