正交各向异性圆柱体在轴压作用下的应力场

钟卫洲; 宋顺成; 陈刚; 黄西成; 黄鹏

doi:10.3879/j.issn.1000-0887.2010.03.004

正交各向异性圆柱体在轴压作用下的应力场

doi: 10.3879/j.issn.1000-0887.2010.03.004

西南交通大学力学与工程学院,成都 610031;2.中国工程物理研究院总体工程研究所,四川绵阳 621900

基金项目: 国家自然科学基金资助项目(50874095);国防973项目专题基金资助项目

详细信息

作者简介:
钟卫洲(1978- ),男,四川仁寿人,博士生(联系人.E-mail:wz_zhong@sina.com).

中图分类号: O344.3
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出版历程
- 收稿日期: 2009-11-01
- 修回日期: 2010-01-11
- 刊出日期: 2010-03-15

Stress Field of Orthotropic Cylinder Subjected to Axial Compression

School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China;

摘要

摘要: 基于材料体积不可压假设，对轴向压缩作用下圆柱试件在加载面内的环向和径向应力分布进行理论分析，计算结果表明：当试件材料本构为正交各向异性时，环向和径向应力分布为半径的幂函数形式；试件材料为横观各向同性时，环向和径向应力为半径的二次函数．在圆柱试件轴线上环向和径向应力相等，且均具有最大值；试件圆周边界上径向应力为0，环向应力具有极小值．通过最大拉伸应变破坏理论对试件环向应变进行分析，获得了产生环向拉伸破坏时的临界轴向载荷；并采用Hill-蔡强度理论对试件圆周边界上计算得到的应力参量进行描述，得到了轴压作用下圆柱试件的Hill-蔡强度理论表达式，其不仅取决于轴向应力和试件材料的基本力学性能，还与试件轴向变形的应变率及应变率随时间的变化率相关．
- 正交各向异性 /
- 轴向压缩 /
- 轴对称 /
- 应力分布 /
- 应变率
Abstract: Based on the material volume cons tancy hypothesis, circum ference and radial stresses of cylinder specmien were analyzed when the cylinder is loaded along the axial direction. Circum ference and radial stress distribution is radius parameter power function when specimen material constitutive relation is orthotropic. The stress distribution is radius parameter quadratic function for transverse isotropy material. A long the cylinder axial line, circum ference and radial stresses were maxmium and equal to each other. In the circum ference boundary surface, radial stress is zero and circum ference stress value is the minmium. The maxtensile circumference strain failure theory is applied to calculate critical axial loading. Circum ference boundary layer failure criterion of orthotropic material cylinder is described by HillTsai strength theory. The obtained strength theory is not only related to axial stress and specmien materialm echanical properties, but a lso to specmienaxial de formation strain rate and change rate of strain rate.
- ortho tropic /
- axial compression /
- axial symmetry /
- stress distribution /
- strain rate

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