针对具有广义周期性的晶格结构的基于能量的均质化方法

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Shijie Xu, Weihong Zhang
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引用次数: 0

摘要

本文提出了一种基于能量的均质化方法(EBHM),用于计算具有广义周期性的晶格结构的等效弹性特性。与传统的匀质化方法不同的是,本文用单元格的弹性应变能推导出了等效弹性矩阵、等效热应力系数和等效热膨胀系数的闭式表达,从而避免了繁琐的数值求解和编程。研究表明,通过对单元格进行映射并施加特定的周期性边界条件,可以轻松计算出弹性应变能。其实现可以借助任何可用的有限元工具。数值示例将 EBHM 与均质化映射法、经典均质化法和直接有限元分析法(FEA)进行比较。对计算精度进行了研究,以显示 EBHM 的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Energy-based homogenization method for lattice structures with generalized periodicity

This paper presents an energy-based homogenization method (EBHM) to calculate the equivalent elastic properties of lattice structures with generalized periodicity. Unlike the traditional implementation of the homogenization method, expressions of closed-form are derived for the equivalent elastic matrix, equivalent coefficients of thermal stress and thermal expansion in terms of the elastic strain energy of the unit cell so that the tedious numerical solution and programming are avoided. It is shown that the elastic strain energy can easily be calculated by mapping the unit cell with the imposition of specific periodic boundary conditions. The implementation can resort to any available finite element tools. Numerical examples are used to compare the EBHM with the homogenization mapping method, classical homogenization method and direct finite element analysis (FEA). The computational accuracy is investigated to show the effectiveness of the EBHM.

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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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