Topology optimization on two-dimensional manifolds

doi:10.1016/j.cma.2020.112937

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	Topology optimization on two-dimensional manifolds
	Y. B. Deng,Z. Y. Liu and J. G. Korvink
	2020
发表期刊	Computer Methods in Applied Mechanics and Engineering
ISSN	0045-7825
卷号	364 页码:24
摘要	This paper presents topology optimization on general two-dimensional manifolds for phenomena described by second-order partial differential equations, where the material interpolation is implemented by using the material distribution method. When a physical field is defined on a two-dimensional manifold, the material interpolation is implemented on a material parameter in the partial differential equation used to describe the distribution of the physical field. When the physical field is defined on a three-dimensional domain with its boundary conditions defined on a two-dimensional manifold corresponding a surface or an interface of this three-dimensional domain, the material density is used to formulate a mixed boundary condition of the partial differential equation for the physical field and implement the penalization between two different boundary types. Based on the homeomorphic property of two-dimensional manifolds, typical two-dimensional manifolds, e.g., sphere, torus, Mobius strip and Klein bottle, are included in the numerical tests, which are used to demonstrate this topology optimization approach for the design problems of fluidic mechanics, heat transfer and electromagnetics. (C) 2020 Elsevier B.V. All rights reserved.
DOI	10.1016/j.cma.2020.112937
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收录类别	SCI ; EI
语种	英语
引用统计
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/64970
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	Y. B. Deng,Z. Y. Liu and J. G. Korvink. Topology optimization on two-dimensional manifolds[J]. Computer Methods in Applied Mechanics and Engineering,2020,364:24.
APA	Y. B. Deng,Z. Y. Liu and J. G. Korvink.(2020).Topology optimization on two-dimensional manifolds.Computer Methods in Applied Mechanics and Engineering,364,24.
MLA	Y. B. Deng,Z. Y. Liu and J. G. Korvink."Topology optimization on two-dimensional manifolds".Computer Methods in Applied Mechanics and Engineering 364(2020):24.

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