论文标题
基于V模型和均匀的微观结构的功能分级材料的有限细胞法
Finite Cell Method for functionally graded materials based on V-models and homogenized microstructures
论文作者
论文摘要
本文提出了将有限单元格方法（FCM）扩展到V-REP模型，V-REP模型是用于体积表示的新型几何框架。嵌入式域方法（FCM）和新的建模框架（V-REP）的这种组合构成了对机械伪像的有效和准确模拟的基础，这些基础不仅具有复杂形状的特征，而且以其非标准的室内结构为特征。这些对象在添加剂制造开放的新设计机会的背景下，主要是在应用分级或微观结构材料的情况下获得了越来越多的兴趣。考虑了两种不同类型的功能分级材料（FGM）：使用V-REP模型的固有属性来描述第一个，多物质FGM，以分配整个域内部的不同属性。第二个单物质FGM - 是非均一的微结构 - 通过均质化来表征代表体积元素的有效物质行为，并使用嵌入式域方法进行大规模模拟。
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 objects gain more and more interest in the context of the new design opportunities opened by additive manufacturing, mainly 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 V-rep models' inherent property 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.
