| 基于偶应力模型的连续体结构拓扑优化设计 |
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| 引用本文： | 刘书田,苏文政.基于偶应力模型的连续体结构拓扑优化设计[J].固体力学学报,2009,30(3). |
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| 作者姓名： | 刘书田 苏文政 |
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| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室/工程力学系,大连,116024 |
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| 基金项目： | 国家自然科学基金，国家重点基础研究(973)计划，教育部新世纪优秀人才支持计划资助项目 |
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| 摘 要： | 经典连续介质理论不包含材料尺度参数,因而基于经典理论的结构拓扑优化无法显现尺度效应.本文在偶应力理论的框架下,构造了四节点四边形离散偶应力单元,将传统的SIMP方法推广至偶应力介质.结果表明,在以结构的最大刚度为目标的设计中,偶应力介质的最优结果取决于宏观结构尺寸与材料微结构尺寸(或者特征长度)的比值,最优结果具有明显的尺度效应,具体为,二者比值较大将产生与传统理论相似的结构,而二者比值相当则产生独特的偶应力主导的结构.
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| 关 键 词： | 偶应力 高阶介质 拓扑优化 有限元 尺度效应 |
TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES BASED ON THE COUPLE-STRESS CONTINUUM MODEL |
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| Shutian Liu,Wenzheng Su.TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES BASED ON THE COUPLE-STRESS CONTINUUM MODEL[J].Acta Mechnica Solida Sinica,2009,30(3). |
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| Authors: | Shutian Liu Wenzheng Su |
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| Institution: | State Key Laboratory of Structural Analysis for Industrial Equipment;Department of Engineering Mechanics;Dalian University of Technology;Dalian;116024 |
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| Abstract: | Conventional topology optimization is based on the classical continuum mechanics that can not explain the scale effect due to the non-homogeneity of material since it does not include the scale parameters of materials.The purpose of this paper is to generate the conventional SIMP topology optimization technique to the orthotropic and isotropic couple-stress continuum using a new finite element formulation.A 4-noded quadrilateral discrete couple-stress element is formulated based on the discrete couple-stres... |
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| Keywords: | couple-stress high order continuum topology optimization finite element scale effect |
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