A hybrid virtual–boundary element formulation for heterogeneous materials
| Autor: | Alberto Milazzo, Ivano Benedetti, Marco Lo Cascio |
|---|---|
| Přispěvatelé: | Lo Cascio Marco, Milazzo Alberto, Benedetti Ivano |
| Rok vydání: | 2021 |
| Předmět: |
Computer science
Mechanical Engineering 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Homogenization (chemistry) Finite element method Computational science Matrix (mathematics) 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Convergence (routing) Fibre-reinforced Composite MaterialsComputational Micro-mechanicsComputational HomogenizationContinuum Damage MechanicsVirtual Element MethodBoundary Element Method General Materials Science Polygon mesh Settore ING-IND/04 - Costruzioni E Strutture Aerospaziali 0210 nano-technology Reduction (mathematics) Boundary element method Civil and Structural Engineering Curse of dimensionality |
| Zdroj: | International Journal of Mechanical Sciences. 199:106404 |
| ISSN: | 0020-7403 |
| DOI: | 10.1016/j.ijmecsci.2021.106404 |
| Popis: | In this work, a hybrid formulation based on the conjoined use of the recently developed Virtual Element Method (VEM) and the Boundary Element Method (BEM) is proposed for the effective computational analysis of multi-region domains, representative of heterogeneous materials. VEM has been recently developed as a generalisation of the Finite Element Method (FEM) and it allows the straightforward employment of elements of general polygonal shape, maintaining a high level of accuracy. For its inherent features, it allows the use of meshes of general topology, including non-convex elements. On the other hand, BEM is an effective technique for the numerical solution of sets of boundary integral equations, employed as the original model of the represented physical problem. For several classes of problems, BEM offers some advantages over more popular techniques, namely the reduction of the dimensionality of the problem, with associated computational savings. In this study, the inherent advantages of VEM and BEM are simultaneously employed for the study of heterogeneous material microstructures. The method has been applied to i) the elastic analysis and ii) computational homogenization of fibre-reinforced composite materials and to iii) the analysis of composite unit cells exhibiting matrix isotropic damage. The discussed results show how the hybrid technique inherits the generality of VEM and the modelling simplification and accuracy of BEM, ensuring high accuracy and fast convergence and providing a versatile tool for the analysis of multiphase materials, also including non-linear behaviour such as material degradation. Further directions of research are identified and discussed after commenting on the presented results. |
| Databáze: | OpenAIRE |
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