圆柱正交异性复合厚壁圆筒的弹-塑性分析

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Elastic-Plastic Analysis of Cylindrically Orthotropic Composite Thick-Walled Tube

Department of Mathematics and Mechanics, South China Institute of Tehnology, Guangzhou

摘要: 本文导出了不可压缩和可压缩材料,平面应变问题的Tsai-Hill屈服准则形式;研究了在均匀径向压力作用下圆柱正交异性复合厚壁圆筒的弹-塑性应力场和位移场.求得了弹性屈服压力、极限载荷和安定载荷的公式.

Abstract: In the present paper, Tsai-Hill Yield Criterion in a state of plane strain is derived for incompressible and compressible materials respectively. The elastoplastic stress and displacement fields of cylindrically orthotropic composite thick-walled tube under uniform radial pressure are studied. The formulas of the yield pressure, Iimit pressure and region of shakedown are obtained.

[1]	Lekhniskii,S,G.,Theory of Elasticity of an Anisotropic Body,English version,Mir Publishers(1981).
[2]	Jones,R,M.,Mechanics of Composite Materials,Scripta Book Co.,Washington,D.C.,Mcgraw-Hill,New York(1975).
[3]	Kachanov,L,M Foundations of the Theory of Plasticity,North-Holland Publication Company-Amsterdam-London(1971).
[4]	王仁、熊祝华、黄文彬.《塑性力学基础》,科学出版社,(1982).
[5]	周次青,具有圆形切口的圆柱正交异性复合薄板的弹塑性分析,(待出版).