Analytical evaluation of the elastic stresses in a multilayer spherical pressure vessel

IF 3 2区工程技术 Q2 ENGINEERING, MECHANICAL

International Journal of Pressure Vessels and Piping Pub Date : 2024-10-29 DOI:10.1016/j.ijpvp.2024.105354

Yuriy Tokovyy, Yurii Kulchytskyi-Zhyhailo

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Abstract

An explicit-form solution is constructed for a problem on elastic deformation of a multilayer spherical vessel due to uniform internal pressure. The vessel is assembled of perfectly connected elastic layers whose material properties may arbitrarily vary across their thickness. The solution is constructed through the use of the single solid approach along with the modified scheme of the direct integration method which allow for the consideration of the multilayer vessel as a composite sphere with piecewise-variable profiles of the material properties. As a result, the original problem is reduced to solving a governing integral equation of the second kind whose solution is constructed in the form of the explicit dependence on the internal pressure. The solution is verified by the comparison with exact solutions derived by making use the method of tailored solutions for specific benchmark problems. By comparing our with the one for a functionally-graded sphere, whose material properties are evaluated through the use of the micromodular homogenization technique, the specific features of the circumferential stress are analyzed.

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多层球形压力容器弹性应力的分析评估

本文构建了多层球形容器在均匀内压作用下弹性变形问题的显式解法。该容器由完全连接的弹性层组成，各层的材料特性可在厚度上任意变化。通过使用单实体方法和直接积分法的修正方案，可以将多层容器视为具有材料属性片断可变轮廓的复合球体，从而构建解决方案。因此，原始问题被简化为求解一个第二类控制积分方程，该方程的解是以明确依赖于内部压力的形式构建的。通过与利用特定基准问题的定制解法得出的精确解进行比较，我们验证了该解法。通过与功能分级球体的求解进行比较，分析了圆周应力的具体特征。

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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来源期刊

International Journal of Pressure Vessels and Piping 工程技术-工程：机械

CiteScore

5.30

自引率

13.30%

发文量

208

审稿时长

17 months

期刊介绍： Pressure vessel engineering technology is of importance in many branches of industry. This journal publishes the latest research results and related information on all its associated aspects, with particular emphasis on the structural integrity assessment, maintenance and life extension of pressurised process engineering plants. The anticipated coverage of the International Journal of Pressure Vessels and Piping ranges from simple mass-produced pressure vessels to large custom-built vessels and tanks. Pressure vessels technology is a developing field, and contributions on the following topics will therefore be welcome: • Pressure vessel engineering • Structural integrity assessment • Design methods • Codes and standards • Fabrication and welding • Materials properties requirements • Inspection and quality management • Maintenance and life extension • Ageing and environmental effects • Life management Of particular importance are papers covering aspects of significant practical application which could lead to major improvements in economy, reliability and useful life. While most accepted papers represent the results of original applied research, critical reviews of topical interest by world-leading experts will also appear from time to time. International Journal of Pressure Vessels and Piping is indispensable reading for engineering professionals involved in the energy, petrochemicals, process plant, transport, aerospace and related industries; for manufacturers of pressure vessels and ancillary equipment; and for academics pursuing research in these areas.