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As X-FEM approximation does not need meshing of the crack, the method hasgarnered a lot of attention from industrial point of view. This thesis reportsummarises some of the concepts involved in Nitsche approach for resolvingboundary conditions in embedded interfaces using XFEM. We consider here casesin which the jump of a field across the interface is given, as well as cases inwhich the primary field on the interface is given. We will first derive thebasics of Nitsche method and then discretize it with X-FEM using shifted basisenrichment. We will then implement this on an open source platform, Code-Aster.

Nitsche Method for resolving boundary conditions on embedded interfaces using XFEM in Code Aster