On the computation of the pure Neumann problem in 2-dimensional elasticity |
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Authors: | Martin Steigemann Markus Fulland |
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Affiliation: | 1.Institute of Analysis and Applied Mathematics,University of Kassel,Kassel,Germany;2.Westf?lisches Umwelt Zentrum,Universit?t Paderborn,Paderborn,Germany |
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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.
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Keywords: | Two-dimensional elasticity Finite elements Neumann problem Stress intensity factors Anisotropic solids Weight functions |
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