000013557 001__ 13557
000013557 005__ 20161114165846.0
000013557 04107 $$aeng
000013557 046__ $$k2011-05-25
000013557 100__ $$aPopp, A.
000013557 24500 $$aComputational Contact Dynamics Including Multiphysics and Multiscale Effects

000013557 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013557 260__ $$bNational Technical University of Athens, 2011
000013557 506__ $$arestricted
000013557 520__ $$2eng$$aThis paper gives a review of our recently proposed dual mortar approach combined with a consistently linearized semi-smooth Newton method for 3D finite deformation contact analysis. The mortar finite element method, which is applied as discretization scheme, initially yields a mixed formulation with the nodal Lagrange multiplier degrees of freedom as additional primary unknowns. However, by using so-called dual shape functions for Lagrange multiplier interpolation, the global linear system of equations to be solved within each Newton step can be condensed and thus contains only displacement degrees of freedom. All possible types of nonlinearities, including finite deformations, nonlinear material behavior and contact itself (active set search) are handled within one single iterative solution scheme based on a consistently linearized semi-smooth Newton method. The extension of the proposed framework towards additional model complexities such as Coulomb friction and self contact is addressed shortly. Moreover, an outlook towards multiphysics and multiscale simulations, coupling contact analysis with other physical fields and taking into account effects on different length scales is provided by exemplarily discussing the integration of mortar contact into a fixed-grid fluidstructure interaction (FSI) framework based on the extended finite element method (XFEM). Several numerical examples are presented to show the high quality of results obtained with the proposed methods.

000013557 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013557 653__ $$aContact Dynamics, Mortar Methods, Finite Deformations, Dual Lagrange Multipliers, Fluid-Structure Interaction with Contact, Finite Elements.

000013557 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013557 720__ $$aPopp, A.$$iWall W., A.
000013557 8560_ $$ffischerc@itam.cas.cz
000013557 8564_ $$s1006512$$uhttps://invenio.itam.cas.cz/record/13557/files/282.pdf$$yOriginal version of the author's contribution as presented on CD, section: Semi - Plenary Lectures.
000013557 962__ $$r13401
000013557 980__ $$aPAPER