Open Access
ABSTRACT
Coupling VEM and BEM for computational homogenization of composite materials
Marco Lo Cascio1, Marco Grifò1, Alberto Milazzo1, Ivano Benedetti1,*
1 Department of Engineering, University of Palermo, Viale delle Scienze, Edificio 8, 90128, Palermo, Italy.
* Corresponding Author: Ivano Benedetti. Email: .
The International Conference on Computational & Experimental Engineering and Sciences 2021, 23(1), 13-13. https://doi.org/10.32604/icces.2021.08335
Abstract
The Virtual Element Method (VEM) [1] is a recent numerical
technique that is capable of dealing with very general polygonal and polyhedral
mesh elements, including irregular or non-convex ones. Because of this feature,
the VEM ensures noticeable simplification in the data preparation stage of the
analysis, especially for problems whose analysis domain features complex
geometries, as in the case of computational micromechanics problems [2]. The
Boundary Element Method (BEM) [3] is a well-known, extensively used and
efficient numerical technique that has been successfully employed for the
computational homogenization of materials with complex morphologies [4]. Due
to its underlying formulation, the BEM allows reducing the dimensionality of the
problem, resulting in substantial simplification of the preprocessing stage and in
the reduction of the computational effort, without jeopardizing the solution
accuracy. In this contribution, we explore the capabilities of a coupled VEM and
BEM approach for computational homogenization of heterogeneous materials
with complex microstructures. The test morphologies consist of unit cells with
irregularly shaped inclusions, representative e.g. of a fibre-reinforced polymer
composite. BEM is used to model the inclusions, while the VEM is used to
model the surrounding matrix material. Benchmark analytical and finite element
solutions are used to validate the analysis results.
Keywords
Cite This Article
Cascio, M. L., Grifò, M., Milazzo, A., Benedetti, I. (2021). Coupling VEM and BEM for computational homogenization of composite materials.
The International Conference on Computational & Experimental Engineering and Sciences, 23(1), 13–13.