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Article Dans Une Revue Advanced Modeling and Simulation in Engineering Sciences Année : 2020

Finite cell method for functionally graded materials based on V-models and homogenized microstructures

Résumé

This paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new modeling framework (V-rep) forms the basis for an efficient and accurate simulation of mechanical artifacts, which are not only characterized by complex shapes but also by their non-standard interior structure. These types of objects gain more and more interest in the context of the new design opportunities opened by additive manufacturing, in particular when graded or micro-structured material is applied. Two different types of functionally graded materials (FGM) are considered: The first one, multi-material FGM is described using the inherent property of V-rep models to assign different properties throughout the interior of a domain. The second, single-material FGM—which is heterogeneously micro-structured—characterizes the effective material behavior of representative volume elements by homogenization and performs large-scale simulations using the embedded domain approach.
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hal-04458289 , version 1 (23-02-2024)

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Benjamin Wassermann, Nina Korshunova, Stefan Kollmannsberger, Ernst Rank, Gershon Elber. Finite cell method for functionally graded materials based on V-models and homogenized microstructures. Advanced Modeling and Simulation in Engineering Sciences, 2020, Recent Developments in Unfitted Finite Element Methods: Numerical Analysis, High-Performance Adaptive Solution Algorithms and Advanced Digital Pipelines, 7 (1), pp.1-33. ⟨10.1186/s40323-020-00182-1⟩. ⟨hal-04458289⟩

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