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基于勒贝格应变度量和过渡理论的横观各向同性厚壁圆筒坍塌压力分析

Collapse pressure analysis of transversely isotropic thick-walled cylinder using Lebesgue strain measure and transition theory.

作者信息

Aggarwal A K, Sharma Richa, Sharma Sanjeev

机构信息

Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida 201307, India.

出版信息

ScientificWorldJournal. 2014 Jan 9;2014:240954. doi: 10.1155/2014/240954. eCollection 2014.

DOI:10.1155/2014/240954
PMID:24523632
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3913089/
Abstract

The objective of this paper is to provide guidance for the design of the thick-walled cylinder made up of transversely isotropic material so that collapse of cylinder due to influence of internal and external pressure can be avoided. The concept of transition theory based on Lebesgue strain measure has been used to simplify the constitutive equations. Results have been analyzed theoretically and discussed numerically. From this analysis, it has been concluded that, under the influence of internal and external pressure, circular cylinder made up of transversely isotropic material (beryl) is on the safer side of the design as compared to the cylinders made up of isotropic material (steel). This is because of the reason that percentage increase in effective pressure required for initial yielding to become fully plastic is high for beryl as compared to steel which leads to the idea of "stress saving" that reduces the possibility of collapse of thick-walled cylinder due to internal and external pressure.

摘要

本文的目的是为由横观各向同性材料制成的厚壁圆筒的设计提供指导，从而避免圆筒因内压和外压的影响而发生破坏。基于勒贝格应变度量的转变理论概念已被用于简化本构方程。对结果进行了理论分析和数值讨论。通过该分析得出结论，在内压和外压的影响下，与由各向同性材料（钢）制成的圆筒相比，由横观各向同性材料（绿柱石）制成的圆筒在设计上更安全。这是因为与钢相比，绿柱石从初始屈服到完全塑性所需的有效压力的百分比增加较高，这导致了“应力节省”的概念，从而降低了厚壁圆筒因内压和外压而破坏的可能性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/92c7/3913089/5d31c15fd873/TSWJ2014-240954.009.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/92c7/3913089/17f9c5888e73/TSWJ2014-240954.007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/92c7/3913089/15ea45795f10/TSWJ2014-240954.008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/92c7/3913089/5d31c15fd873/TSWJ2014-240954.009.jpg

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本文引用的文献

1
Safety analysis using Lebesgue strain measure of thick-walled cylinder for functionally graded material under internal and external pressure.基于勒贝格应变测量法对承受内压和外压的功能梯度材料厚壁圆筒进行安全性分析。
ScientificWorldJournal. 2013 Aug 5;2013:676190. doi: 10.1155/2013/676190. eCollection 2013.