Formulation of the eXtended finite element and the matched asymptotic development methods applied to the transient heat transfer in brazed assembly

Abstract : The transient heat transfer in the one-dimensional model of brazed assembly is investigated by coupling the eXtended Finite Element Method (X-FEM) and the matched asymptotic development method (DAR). The approach proposed by the DAR method is based on to construct the enriched functions in the X-FEM framework. The accuracy of the results obtained by the coupling is evaluated by comparing them with the solutions of the quadrupole method and of the commercial computational code ABAQUS.