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XFEM with equivalent eigenstrain for matrix–inclusion interfaces

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Abstract

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.

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Acknowledgments

This work was financed by the Italian PRIN Fund 2009XWLFKW Multi-scale modelling of materials and structures. The numerical tests were run by N. Ponara by using the X3D code [60] enhanced with the proposed approach.

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  1. Dipartimento di Ingegneria, Università degli Studi di Ferrara, Via Saragat 1, 44122 , Ferrara, Italy

    Elena Benvenuti

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  1. Elena Benvenuti
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Correspondence to Elena Benvenuti.

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Benvenuti, E. XFEM with equivalent eigenstrain for matrix–inclusion interfaces. Comput Mech 53, 893–908 (2014). https://doi.org/10.1007/s00466-013-0938-4

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