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On the computation of the pure Neumann problem in 2-dimensional elasticity
Authors:Martin Steigemann  Markus Fulland
Affiliation:1.Institute of Analysis and Applied Mathematics,University of Kassel,Kassel,Germany;2.Westf?lisches Umwelt Zentrum,Universit?t Paderborn,Paderborn,Germany
Abstract:The accurate computation of stress intensity factors (SIFs) plays a decisive role in the determination of crack paths. The calculation of SIFs with the help of singular weight functions leads to pure Neumann problem for anisotropic elasticity in a plane domain with a crack. Here a method is presented to overcome the specific numerical difficulties which arises while calculating these solutions with Finite Element methods. The accuracy and advantage of this method are shown by a numerical example, the calculation of SIFs of a compact tension specimen.
Keywords:Two-dimensional elasticity  Finite elements  Neumann problem  Stress intensity factors  Anisotropic solids  Weight functions
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