Finite element evaluation of free-edge singular stress fields in anisotropic materials |
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Authors: | Stephane S Pageau Sherrill B Biggers |
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Abstract: | A finite element formulation based on the work of Yamada and Okumura14 is presented to determine the order of singularity and angular variation of the stress and displacement fields surrounding a singular point on a free edge of anisotropic materials. Emphasis is placed on the computational aspects of this method when applied to configurations including fully bonded multi-material junctions intersecting a free edge as well as materials containing cracks intersecting a free edge. The study shows that the singularity of the three-dimensional stress field may be accurately determined with a relatively small number of elements only when a proper level of numerical integration is used. The method is applied to isotropic and orthotropic materials with a crack intersecting a free edge and an anisotropic three-material junction intersecting a free edge. The efficiency and accuracy of the method indicates it could be used to develop a numerical solution for the singular field that could in turn be used to create free-edge enriched finite elements. |
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Keywords: | 3-D singular fields finite element formulation multi-material junctions free edge problems solution convergence |
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