文章基本信息

标题：Homogenization Topology Optimization Method Based on Continuous Field:
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作者：Hongwei Zhao ; Kai Long ; Z.-D. Ma 等
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2010
卷号：2
页码：1-7
DOI：10.1155/2010/528397
语种：English
出版社：Sage Publications Ltd.
摘要：In order to overcome numerical instabilities such as checkerboards, meshdependence in topology optimization of continuum structures, a new implementation combined with homogenization method without introducing any additional constraint parameter is presented. To overcome the shortcoming of continuous material distribution by the introduction of finite element approximation, moving least square or modified filter functions are adopted as interpolation function. The method can be viewed as a nature extension of node-based homogenization method and named as material point homogenization method. Continuous size field and continuous density field are constructed, and structural responses' sensitivities are derived. Several representative numerical examples are presented to demonstrate the capability and the efficiency of the proposed approach against some classes of numerical instabilities.