Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 375, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.113543
Keywords
Consolidation; Porous materials; Multiscale finite element method; Virtual element method
Funding
- European Union [765472]
- Marie Curie Actions (MSCA) [765472] Funding Source: Marie Curie Actions (MSCA)
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A novel heterogeneous multi-scale method for consolidation analysis of two-dimensional porous domains with complex micro-structure is introduced. Utilizing a two-scale strategy and the Virtual Element Method, it accurately captures fine scale heterogeneities of arbitrary polygonal shapes. The method's performance in terms of accuracy and computational efficiency is evaluated through numerical examples.
We introduce a novel heterogeneous multi-scale method for the consolidation analysis of two-dimensional porous domains with a complex micro-structure. A two-scale strategy is implemented wherein an arbitrary polygonal domain can be discretized into clusters of polygonal elements, each with its own set of fine scale discretization. The method harnesses the advantages of the Virtual Element Method into accurately capturing fine scale heterogeneities of arbitrary polygonal shapes. The upscaling is performed through a set of numerically evaluated multi-scale basis functions. The solution of the coupled governing equations is performed at the coarse-scale at a reduced computational cost. We discuss the computation of the multi-scale basis functions and corresponding virtual projection operators. The performance of the method in terms of accuracy and computational efficiency is evaluated through a set of numerical examples for poro-elastic materials with heterogeneities of various shapes. (C) 2020 Elsevier B.V. All rights reserved.
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