线弹性各向异性固体的极限刚度和强度方向

Q3 Engineering

International Journal of Mechanics and Control Pub Date : 2012-01-01 DOI:10.7494/MECH.2012.31.3.124

P. Szeptyński

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引用次数: 0

摘要

本文对各向异性线弹性固体的纵向和横向刚度模量以及极限单轴和极限剪应力的极值和最小值方向进行了研究。考虑了立方对称(规则晶体体系)和体积各向同性圆柱对称(附加约束的六角形晶体体系)的情况。利用弹性张量(刚度张量和柔度张量)的谱分解，导出了所研究方向逆分量的非线性方程组。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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DIRECTIONS OF EXTREME STIFFNESS AND STRENGTH IN LINEAR ELASTIC ANISOTROPIC SOLIDS

An investigation for directions of extreme - maximum or minimum - values of the longitudinal and transverse stiffness moduli as well as of the limit uniaxial and limit shear stresses in anisotropic linear elastic solids is performed in the paper. The cases of cubic symmetry (regular crystal system) and of volumetrically isotropic cylindrical symmetry (hexagonal crystal system with additional constraints) are considered. The systems of non-linear equations for the components of the versors of investigated directions are derived with use of the spectral decomposition of the elasticity (stiffness and compliance) tensors.

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来源期刊

International Journal of Mechanics and Control Engineering-Computational Mechanics

CiteScore

2.10

自引率

0.00%

发文量