XFEM with equivalent eigenstrain for matrix-inclusion interfaces. (English) Zbl 1398.74301

Summary: Several engineering applications rely on particulate composite materials, and numerical modelling of the matrix-inclusion interface is therefore a crucial part of the design process. The focus of this work is on an original use of the equivalent eigenstrain concept in the development of a simplified eXtended Finite Element Method. Key points are: the replacement of the matrix-inclusion interface by a coating layer with small but finite thickness, and its simulation as an inclusion with an equivalent eigenstrain. For vanishing thickness, the model is consistent with a spring-like interface model. The problem of a spherical inclusion within a cylinder is solved. The results show that the proposed approach is effective and accurate.


74S05 Finite element methods applied to problems in solid mechanics
74E30 Composite and mixture properties
74S30 Other numerical methods in solid mechanics (MSC2010)
74E05 Inhomogeneity in solid mechanics
74B05 Classical linear elasticity


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