Matching asymptotic method and nucleation of a defect at a notch

Abstract : In the present study, we use matching asymptotic expansion to treat the elastic problem associated with a small defect located at the tip of a notch. The use of such asymptotic methods is necessary because the presence both of small parameters and singularities leads to inaccurate computations by classical finite element methods. The method is applied here in an antiplane setting.
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Submitted on : Saturday, September 29, 2012 - 6:42:41 PM
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Thi Bach Tuyet Dang, Halpern Laurence, Jean-Jacques Marigo. Matching asymptotic method and nucleation of a defect at a notch. International Conference on Advances in Computational Mechanics (ACOME), Aug 2012, Ho Chi Minh Ville, Vietnam. sous presse. ⟨hal-00736783⟩

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