温度对内压下非弹性球形封头应力应变状态的影响

IF 0.8 Q2 MATHEMATICS Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602273
V. E. Moiseeva, Z. V. Skvortsova
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引用次数: 0

摘要

摘要 研究了温度变化对内压下夹紧环球壳非线性轴对称应变的影响。解法基于基尔霍夫-洛夫假设,并考虑了几何和材料非线性因素。应力-应变状态是在低温或高温条件下根据与温度相关的材料特性进行研究的。分析采用线性化和 S.K. 戈杜诺夫正交扫描方法相结合的数值方法进行。研究考虑了由具有各种机械和热物理性质的合金制成的壳体。讨论了合金特性对环球形封头的应力-应变状态随温度变化的性质的影响。
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The Temperature Effect on the Stress-strain State of Inelastic Torispherical Heads under Internal Pressure

Abstract

The effect of a temperature change on nonlinear axisymmetric straining of the clamped torispherical shell under internal pressure is investigated. The solution is based on the Kirchhoff–Love hypothesis, taking into account geometric and material nonlinearities. The stress-strain state is examined at cryogenic or elevated temperatures with the temperature-dependent material’s characteristics. The analysis has been performed numerically using a combination of linearization and S.K. Godunov’s orthogonal sweep methods. Shells made of alloys with various mechanical and thermophysical properties are considered. The effect of the alloy’s properties on the nature of the stress-strain state dependence of the torispherical heads on temperature is discussed.

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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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