Computational Homogenization of Heterogeneous Materials by a Novel Hybrid Numerical Scheme

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The Virtual Element Method (VEM) is a recent numerical technique capable of dealing with very general polygonaland polyhedral mesh elements, including irregular or non-convex ones. Because of this feature, the VEM ensures noticeablesimplification in the data preparation stage of the analysis, especially for problems whose analysis domain features complexgeometries, as in the case of computational micro-mechanics problems. The Boundary Element Method (BEM) is a well-known,extensively used and effective numerical technique for the solution of several classes of problems in science and engineering. Dueto its underlying formulation, the BEM allows reducing the dimensionality of the problem, resulting in substantial simplificationof the pre-processing stage and in the reduction of the computational effort, without jeopardising the solution accuracy. In thiscontribution, we explore the possibility of a coupling VEM and BEM for computational homogenisation of heterogeneous materialswith complex microstructures. The test morphologies consist of unit cells with irregularly shaped inclusions, representative e.g. ofa fibre-reinforced polymer composite. The BEM is used to model the inclusions, while the VEM is used to model the surroundingmatrix material. Benchmark finite element solutions are used to validate the analysis results.
Lingua originaleEnglish
pagine (da-a)2050008-
Numero di pagine8
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.1700.1706???


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