基于V模型和均匀化细观结构的功能梯度材料有限单元法
Finite Cell Method for functionally graded materials based on V-models and homogenized microstructures
摘要：
本文提出了一种扩展的有限单元法（FCM）的V-REP模型，体积表示的一种新的几何框架。这种嵌入式域方法（FCM）和新的建模框架（V-REP）的组合形成了有效和准确模拟机械工件的基础，这些机械工件不仅具有复杂的形状，而且具有非标准的内部结构。这些物体在增材制造开辟的新设计机会的背景下获得越来越多的兴趣，主要是当应用梯度或微结构材料时。两种不同类型的功能梯度材料（FGM）被认为是：第一种，多材料FGM，使用V-REP模型的固有属性来描述整个域的内部分配不同的属性。第二，单一材料的功能梯度材料-这是异质微结构-表征的有效材料行为的代表性体积元素的均匀化，并使用嵌入域的方法进行大规模的模拟。
英文摘要：
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.
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