Authors: Abderrazzaq Ifis, François Bilteryst, Mohammed Nouari
This work deals with the performance of a new approach combining the numerical eXtended Finite Elements Method ?X-FEM? and the analytical method of Matched Asymptotic Expansions ?MAE?. The proposed new ?MAX-FEM? model is well adapted for studying and modeling the mechanical behavior of mediums containing singularities such as thin layers or adhesive joints without any required mesh refinement in their vicinity. The methodology consists of the construction of enrichment parameters with the ?MAE? technique and their integration into the ?XFEM? formulation. Correction matrix of stiffness is then defined and integrated in the FEM computation algorithm. To describe the mechanical behavior of a proposed structure with 2D brazed joints, the ?MAX- FEM? hybrid model has been implemented as an UEL subroutine under Abaqus implicit. Compared with the classical FE method, the obtained results in terms of stress field, strains and displacements show a good accuracy without any required mesh refinement.