Elastoplastic Solution and Limit Load Analysis of Orthotropic Cylindrical Shell Subjected to Internal Pressure

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

Abstract

Cylindrical shell structure is widely used in pressure vessels. In this paper, the orthotropic cylindrical shell structure is analyzed based on the theory of elastoplastic mechanics and the Hill48 yield criterion, the elastoplastic limit load expression of the orthotropic cylindrical shell and the corresponding three-dimensional stress formulas at different stages are obtained. The effect of the radius ratio and the yield strength ratio on the elastic limit load and plastic limit load of the cylindrical shell are also discussed. Finally, the orthotropic cylindrical shell structure is simulated by finite element method, the numerical results verify the correctness of the analytical solutions.
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内压作用下正交各向异性圆柱壳的弹塑性解及极限载荷分析
圆柱壳结构在压力容器中应用广泛。本文基于弹塑性力学理论和Hill48屈服准则对正交各向异性柱壳结构进行了分析,得到了正交各向异性柱壳在不同阶段的弹塑性极限载荷表达式和相应的三维应力公式。讨论了半径比和屈服强度比对圆柱壳弹性极限载荷和塑性极限载荷的影响。最后对正交各向异性圆柱壳结构进行了有限元模拟,数值结果验证了解析解的正确性。
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