内压、弯矩和扭转作用下正交各向异性厚壁管的极限载荷解

Min Xu, Yujie Zhao, Bin Zhou, Xiao-hua He, Chang-yu Zhou
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引用次数: 2

摘要

基于希尔屈服准则,分别给出了纯内压、弯矩和扭转作用下正交各向异性厚壁管极限荷载的解析解。得到了各向同性厚壁管极限载荷的简化Mises解析解和有限元结果。算例验证了解析解的可靠性。本文讨论了纯内压、纯弯矩和纯扭转矩条件下各向同性和正交异性管道极限载荷的差异。结果表明,材料各向异性对极限载荷的影响是显著的。纯内压下管道的极限载荷主要由周向屈服强度决定,纯弯曲只与轴向屈服强度有关,纯扭转力矩与45°方向屈服强度和径向屈服强度有关。
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Limit Load Solutions of the Orthotropic Thick-Walled Pipe Subjected to Internal Pressure, Bending Moment and Torsion Moment
Based on the Hill yield criterion, the analytical solutions of the limit load of orthotropic thick-walled pipes under pure internal pressure, bending moment and torsion are given respectively. The simplified Mises analytical solution and finite element results of limit load for isotropic thick-walled pipe are obtained. The solution verifies the reliability of the analytical solution. The paper discusses the difference of limit load of isotropic and orthotropic pipes under the conditions of pure internal pressure, pure bending moment and pure torsion moment. It is concluded that the influence of material anisotropy on the limit load is significant. The limit load of pipe under pure internal pressure is mainly determined by circumferential yield strength, pure bending is only related to axial yield strength and pure torsion moment is related to the yield strength in the 45° direction and radial yield strength.
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