000021653 001__ 21653
000021653 005__ 20170622131258.0
000021653 04107 $$aeng
000021653 046__ $$k2017-06-15
000021653 100__ $$aBetsch, Peter
000021653 24500 $$aENERGY-MOMENTUM METHODS FOR NONLINEAR ELASTODYNAMICS RELYING ON POLYCONVEX STORED ENERGY FUNCTIONS

000021653 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021653 260__ $$bNational Technical University of Athens, 2017
000021653 506__ $$arestricted
000021653 520__ $$2eng$$aThe present work deals with a mixed variational formulation of elastodynamics along with an energymomentum consistent discretization in space and time. The underlying continuum formulation relies on a polyconvex stored energy function [1]. In addition to the displacement field, further kinematic fields entering the polyconvex stored energy function are introduced by a newly proposed cascaded system of kinematic constraints. The corresponding mixed variational formulation is obtained by enforcing the kinematic constraints through a Hu-Washizu type variational functional. The newly proposed variational framework facilitates the design of new energy-momentum consistent discretizations in time. In addition to that, the mixed variational framework makes possible a wide variety of finite element discretizations in space. In the special case of a purely displacement-based discretization we obtain a new form of the algorithmic stress formula which is a typical feature of energy-momentum methods [2]. In particular, the new stress formula assumes a remarkably simple form when compared to previously proposed alternative stress formulas. 

000021653 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021653 653__ $$a

000021653 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021653 720__ $$aBetsch, Peter$$iHesch, Christian$$iJanz, Alexander
000021653 8560_ $$ffischerc@itam.cas.cz
000021653 8564_ $$s116598$$uhttps://invenio.itam.cas.cz/record/21653/files/17395.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS10] Advances in Numerical Methods for Linear and Non-Linear Dynamics and Wave Propagation
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000021653 962__ $$r21500
000021653 980__ $$aPAPER