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Computational modelling of failure with the discontinuous Galerkin method
Author(s) -
Mergheim Julia,
Kuhl Ellen,
Steinmann Paul
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310425
Subject(s) - discontinuous galerkin method , jump , galerkin method , work (physics) , interface model , interface (matter) , mathematics , computer science , finite element method , structural engineering , physics , mechanical engineering , engineering , bubble , quantum mechanics , human–computer interaction , maximum bubble pressure method , parallel computing
The present contribution is concerned with the computational modelling of failure with the discontinuous Galerkin method, which is attributed to Nitsche 's work. In the present work a hybrid method is introduced which consists of the discontinuous Galerkin method and an interface approach. Thereby the DG method is used to model the precritical continuous state, whereby the continuity condition along an internal surface is enforced weakly. The interface approach is applied in the post‐critical state to allow for a jump in the displacements, controlled by a constitutive law. Finally the applicability of the proposed method is illustrated by means of a computational model problem.