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Formulation and Application of the Initially Rigid Cohesive Finite Element Method
Author(s) -
Geißler Gordon,
Kaliske Michael
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910073
Subject(s) - finite element method , discretization , representation (politics) , fracture mechanics , structural engineering , extended finite element method , extension (predicate logic) , focus (optics) , boundary (topology) , boundary value problem , computer science , mechanics , materials science , mathematics , mathematical analysis , engineering , physics , optics , politics , political science , law , programming language
Abstract The presented procedure for cohesive crack propagation is based on an adaptive finite element (FE) implementation, which enables the introduction of cohesive surfaces in dependence on the current crack state. In contrast to already existing formulations, the focus of the present model lies on failure processes that can be described at quasi‐static conditions within an implicit framework. Furthermore, an extension for mesh independent crack propagation in terms of an additional mesh adaptive formulation is presented. By the evaluation of the failure criterion considering the preferred crack direction, a new crack tip coordinate is computed and the discretization is accordingly adjusted. The remaining mesh is modified for the new boundary representation. The application of the proposed method is shown by the numerical investigation of a concrete fracture specimen from an experimental research project. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)