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| HAL: hal-00276711, version 1 |
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| Computer Methods in Applied Mechanics and Engineering 190 (2001) 2111--2134 |
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| A fast semi-analytic method for the computation of elastic edge singularities |
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| Martin Costabel 1Monique Dauge 1 |
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| (2001) |
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| The singularities that we consider are the characteristic non-smooth solutions of the equations of linear elasticity in piecewise homogeneous media near two dimensional corners or three dimensional edges. We describe here a method to compute their singularity exponents and the associated angular singular functions. We present the implementation of this method in a program whose input data are geometrical data, the elasticity coefficients of each material involved and the type of boundary conditions (Dirichlet, Neumann or mixed conditions). Our method is particularly useful with anisotropic materials and allows to ''follow" the dependency of singularity exponents along a curved edge. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Analyse numérique |
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| Subject | : | Mathematics/Numerical Analysis Engineering Sciences/Mechanics/Mechanics of materials Physics/Mechanics/Mechanics of materials |
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| Singularity exponent – Edge singularities – Anisotropic elasticity – Stress concentration – Material interface |
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| hal-00276711, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00276711 | |
| oai:hal.archives-ouvertes.fr:hal-00276711 | |
| From: Yvon Lafranche | |
| Submitted on: Wednesday, 30 April 2008 19:02:08 | |
| Updated on: Wednesday, 6 March 2013 14:15:37 | |
