A numerical method for computing the overall response of nonlinear composites with complex microstructure

H. Moulinec 1 Pierre Suquet 1
1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : The local and overall responses of nonlinear composites are classically investigated by the Finite Element Method. We propose an alternate method based on Fourier series which avoids meshing and which makes direct use of microstructure images. It is based on the exact expression of the Green function of a linear elastic and homogeneous comparison material. First, the case of elastic nonhomogeneous constituents is considered and an iterative procedure is proposed to solve the Lippman-Schwinger equation which naturally arises in the problem. Then, the method is extended to non-linear constituents by a step-by-step integration in time. The accuracy of the method is assessed by varying the spatial resolution of the microstructures. The flexibility of the method allows it to serve for a large variety of microstructures. (C) 1998 Elsevier Science S.A.
Keywords : STRESS HOMOGENIZATION METAL-MATRIX COMPOSITES DEFORMATION
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Journal articles
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https://hal.archives-ouvertes.fr/hal-01282728
Contributor : Hervé Moulinec <>
Submitted on : Friday, March 4, 2016 - 11:48:26 AM
Last modification on : Monday, March 4, 2019 - 2:04:08 PM

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H. Moulinec, Pierre Suquet. A numerical method for computing the overall response of nonlinear composites with complex microstructure. Computer Methods in Applied Mechanics and Engineering, Elsevier, 1998, 157 (1-2), ⟨10.1016/S0045-7825(97)00218-1⟩. ⟨hal-01282728⟩

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