Buckling of Shear-Deformable Multi-Layered Rings due to Fluid-Pressure Loading

J. McNamara, Li Liu, A. Waas
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Abstract

This paper is concerned with the analysis of composite rings subjected to external fluid pressure loading. Nonlinear equilibrium equations, linear stability equations, and critical fluid-pressure loads are found for thin multi-layered shear deformable rings. The extensions presented here can be shown to be generalizations of the theory given in [1]. The theory shows that introduction of multiple layers of material introduces coupling between bending and extension. The results are used to show that shear deformation is important when R h < 10 , as well as when the ratio of through thickness shear modulus to Young’s modulus becomes small. The latter has consequences when composite materials are used for the ring layers. The results are also used to show that for coupling between bending and extension the critical fluid-pressure will increase or decrease depending on the stacking sequence. For the example presented in this paper, the predicted critical fluid-pressure loading was higher for the stiffer material located on the inside of a two-layer ring. In all cases, the theoretical results are compared to a finite element method analysis.
剪切变形多层环在流体压力载荷下的屈曲
本文研究了复合材料环在外部流体压力载荷作用下的分析问题。建立了多层剪切变形环的非线性平衡方程、线性稳定方程和临界流体压力载荷方程。这里提出的扩展可以证明是[1]中给出的理论的推广。理论表明,多层材料的引入引入了弯曲和延伸之间的耦合。结果表明,当R h < 10时,以及通过厚度剪切模量与杨氏模量之比变小时,剪切变形是重要的。当复合材料用于环层时,后者会产生后果。结果还表明,在弯曲与伸展耦合的情况下,临界流体压力会随堆积顺序的不同而增大或减小。对于本文给出的例子,对于位于两层环内的较硬材料,预测的临界流体压力载荷更高。在所有情况下,理论结果与有限元方法分析进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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