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

Advanced Modeling and Simulation in Engineering Sciences

Gershon Elber¹  Ernst Rank²  Nina Korshunova²  Benjamin Wassermann²  Stefan Kollmannsberger³ 

[1] Center for Graphics and Geometric Computing, Technion Israel Institute of Technology;Chair for Computation in Engineering, Technical University of Munich;Chair of Computational Modeling and Simulation, Technical University of Munich;

关键词: Functionally Ggraded material;    V-reps;    V-models;    Finite cell method;    Direct simulation;    Additive manufacturing;   

DOI  :  10.1186/s40323-020-00182-1

来源: DOAJ

【 摘 要 】

Abstract 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.

【 授权许可】

Unknown