Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (3): 305-316.doi: https://doi.org/10.1007/s10483-010-0304-z

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Stress field of orthotropic cylinder subjected to axial compression

钟卫洲1,2 宋顺成1 陈刚2 黄西成2 黄鹏2   

  1. 1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China;
    2. Institute of Structural Mechanics, China Academy of Engineering Physics, Mianyang 621900, Sichuan Province, P. R. China
  • 收稿日期:2009-11-05 修回日期:2010-01-11 出版日期:2010-03-01 发布日期:2010-03-01

Stress field of orthotropic cylinder subjected to axial compression

ZHONG Wei-Zhou1,2, SONG Shun-Cheng1, CHEN Gang2, HUANG Xi-Cheng2, HUANG Peng2   

  1. 1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China;
    2. Institute of Structural Mechanics, China Academy of Engineering Physics, Mianyang 621900, Sichuan Province, P. R. China
  • Received:2009-11-05 Revised:2010-01-11 Online:2010-03-01 Published:2010-03-01

摘要: Based on the constancy hypothesis of material volume, the circumferential and radial stresses of a cylinder specimen are analyzed when the cylinder is subject to a loading along the axial direction. The circumferential and radial stress distribution is a power function of radius parameter when the constitutive relation of specimen material is orthotropic. The stress distribution is a quadratic function of radius parameter for transversely isotropic material. Along the cylinder axial line, the circumferential and radial stresses are maximum and equal to each other. In the circumference boundary surface, the radial stress is zero and the circumferential stress value is minimal. The failure theory of maximum tensile circumferential strain is applied to calculate the critical axial loading. The circumference-boundary-layer failure criterion of orthotropic cylinders is described with the Hill-Tsai strength theory. The obtained strength theory is related to axial stress and mechanical properties of specimen material and to the specimen axialdeformation strain rate and the change rate of strain rate.

Abstract: Based on the constancy hypothesis of material volume, the circumferential and radial stresses of a cylinder specimen are analyzed when the cylinder is subject to a loading along the axial direction. The circumferential and radial stress distribution is a power function of radius parameter when the constitutive relation of specimen material is orthotropic. The stress distribution is a quadratic function of radius parameter for transversely isotropic material. Along the cylinder axial line, the circumferential and radial stresses are maximum and equal to each other. In the circumference boundary surface, the radial stress is zero and the circumferential stress value is minimal. The failure theory of maximum tensile circumferential strain is applied to calculate the critical axial loading. The circumference-boundary-layer failure criterion of orthotropic cylinders is described with the Hill-Tsai strength theory. The obtained strength theory is related to axial stress and mechanical properties of specimen material and to the specimen axialdeformation strain rate and the change rate of strain rate.

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