000015356 001__ 15356
000015356 005__ 20161115100219.0
000015356 04107 $$aeng
000015356 046__ $$k2016-08-21
000015356 100__ $$aBardella, Lorenzo
000015356 24500 $$aImplicit finite element algorithms for higher-order gradient plasticity theory (INVITED)

000015356 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015356 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015356 506__ $$arestricted
000015356 520__ $$2eng$$aWe propose an implicit time integration Finite Element (FE) algorithm for Gradient Plasticity (GP) theory, involving both energetic and dissipative higher-order contributions. We consider both phenomenological and crystal GP, in which the free energy includes the so-called defect energy, a function of Nye’s dislocation density tensor. By considering many benchmarks (simple shear of a constrained strip, torsion of thin wires, bending of thin foils, micro-indentation), we show that the conceptually most straightforward FE implementation, in which the displacements and the relevant plastic components are employed as nodal degrees of freedom, leads to a very efficient FE algorithm if a proper regularisation of the viscoplastic potential is adopted, the latter in general involving dissipative higher-order terms. The proposed viscoplastic constitutive law can also accurately represent rate-independent behaviour, without losing computational efficiency.

000015356 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015356 653__ $$a

000015356 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015356 720__ $$aBardella, Lorenzo
000015356 8560_ $$ffischerc@itam.cas.cz
000015356 8564_ $$s63564$$uhttps://invenio.itam.cas.cz/record/15356/files/TS.SM10-4.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2496, code TS.SM10-4.01
.
000015356 962__ $$r13812
000015356 980__ $$aPAPER