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发布时间：2019-03-09

论文类型：期刊论文

发表时间：2014-05-01

发表刊物：COMPUTATIONAL MATERIALS SCIENCE

收录刊物：Scopus、EI、SCIE

卷号：87

页面范围：178-186

ISSN号：0927-0256

关键字：Mechanical metamaterials; Artificial composite material; Microstructure; Level set method; Topological shape optimization

摘要：Metamaterials usually refer to artificial composite materials consisting of an array of periodically arranged microstructures, engineered to provide unusual material properties that may not be easily found in nature. This paper proposes a new topological shape optimization method for systematic computational design of a type of mechanical metamaterials with negative Poisson's ratios (auxetic materials), which integrates the numerical homogenization approach into a powerful parametric level set method (PLSM). The homogenization method is used to obtain the effective properties of the periodic microstructure, while the PLSM is applied to achieve shape evolutions and topological changes of the microstructure, until the desired material properties are achieved. The key concept of the PLSM is the interpolation of the implicit level set surface by using a given set of compactly supported radial basis functions (CSRBF), which are positioned at a number of given and fixed knots inside the design domain. Several typical numerical examples are used to demonstrate the favorable characteristics of the proposed method in the design of micro-structured metamaterials. (C) 2014 Elsevier B.V. All rights reserved.