Coupling of the eXtended finite element method and the matching asymptotic development in the modelling of brazed assembly
Source abstract
Abstract
Modelling of the displacement field of a brazed assembly taking account the presence of a brazed joint which is considered as a singularity is proposed. The model is based on the eXtended Finite Element Method (X-FEM) coupled with the matching asymptotic development (DAR). The fundamentals of our approach is given and illustrated in a 1D example elastic deformations. The DAR solution of that problem is given, as well as the expressions of the DAR inspired enriched X-FEM functions. The implementation in the X-FEM framework is detailed and a case study result is shown and compared with fine grid FEM calculation.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Advanced Numerical Methods in Computational Mathematics · Contact Mechanics and Variational Inequalities
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References (6)
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