000015971 001__ 15971
000015971 005__ 20161115135335.0
000015971 04107 $$aeng
000015971 046__ $$k2013-06-12
000015971 100__ $$aRosic, B.
000015971 24500 $$aStochastic Description of Large Strain Elastoplasticity

000015971 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015971 260__ $$bNational Technical University of Athens, 2013
000015971 506__ $$arestricted
000015971 520__ $$2eng$$aThe stochastic description of large strain plasticity is required in many practical problems in which material properties (e.g. concrete, bone, rock) and/or external loadings (e.g. the metal safety nets against snow, rock fall) are of uncertain character [1]. Within the framework of large strain analysis we focus on the rate-independent evolutionary problem with general hardening whose material characteristics are assumed to have positively-definite distributions. By introducing the stochastic mulitplicative split we describe the irreversible and work-dissipating process via a quasi-convex energy function and evolution equations for internal variables. This allows the reformulation of the problem into a stochastic minimisation of a smooth convex energy functional on discrete tensor product subspaces, whose unique minimizer is obtained via a stochastic closest point projection algorithm [2,3]. Its numerical computation is performed with the help of methods of functional approximation and high-dimensional integration, which are then contrasted with respect to the accuracy of the solution and its efficiency.

000015971 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015971 653__ $$a

000015971 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015971 720__ $$aRosic, B.$$iMatthies, H.$$iZivkovic, M.$$iIbrahimbegovic, A.
000015971 8560_ $$ffischerc@itam.cas.cz
000015971 8564_ $$s50491$$uhttps://invenio.itam.cas.cz/record/15971/files/2039.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-MS 24 PROBLEMS WITH HETEROGENEOUS MATERIALS
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000015971 962__ $$r15525
000015971 980__ $$aPAPER