Detecting stress fields in an optimal structure Part II: Three-dimensional case
Detecting stress fields in an optimal structure Part II: Three-dimensional case
复制标题
检测最佳结构中的应力场第二部分：三维情况
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
I. Kucuk
中科院分区：
文献类型：
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作者：
A. Cherkaev;I. Kucuk
本文是最优弹性结构应力场研究的第二部分。在这项研究的第一部分，Cherkaev和Kucuk（2001），我们推导了最优二维弹性结构中应力场的必要条件，并介绍了一种方法来检查结构是否是最优的。在本文中，我们把我们的注意力转向最佳的三维弹性结构的应力场的条件。我们重申三维弹性力学应力能最小化的必要条件。我们还表明，实现最佳的微观结构的条件。
Abstract This paper is the second part of an investigation on stress fields in an optimal elastic structure. In the first part of this research, Cherkaev and Kucuk (2001), we derived the necessary conditions for the stress field in optimal two-dimensional elastic structures and introduced a method to check whether a structure is optimal. In this paper, we turn our attention to conditions of the stress field in optimal three-dimensional elastic structures. We restate the necessary conditions for minimization of the stress energy for three-dimensional elasticity. We also show that the conditions are realized in optimal microstructures.