圆柱形和球形固体热弹性应力聚焦的解析解

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY International Journal of Engineering Science Pub Date : 2024-10-10 DOI:10.1016/j.ijengsci.2024.104157
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引用次数: 0

摘要

本研究涉及各向同性实心圆柱体和球体热弹性问题中位移和应力的分析求解,重点是与核工业和高温工程相关的应力聚焦现象。研究考虑了具有三种不同类型热加载的实心球和无限长实心圆柱体:规定外表面温度、规定表面热通量和体积热源。同时考虑了连续和不连续的热加载条件。结果表明,非连续加载(如规定表面温度或热通量的突然变化)会导致沿轴线(无限长圆柱体)和中心(实心球体)产生无约束应力,而在连续加载条件下,我们在任何时候都能获得域内的有限应力。
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Analytical solutions for thermoelastic stress-focusing in cylindrical and spherical solids
This work deals with finding the analytical displacements and stresses in thermoelasticity problems involving solid isotropic cylinders and spheres with an emphasis on stress-focusing phenomena relevant to the nuclear industry and high-temperature engineering. The study considers solid spheres and infinitely long solid cylinders with three different types of thermal loading: prescribed outer surface temperature, prescribed surface heat flux, and volumetric heat source. Both continuous and discontinuous thermal loading conditions are considered. It is shown that discontinuous loading, such as abrupt changes in prescribed surface temperature or heat flux prescriptions, results in unbounded stresses along the axis (in the case of an infinite cylinder) and the center (in the case of a solid sphere), while with continuous loading, we obtain finite stresses within the domains at all times.
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来源期刊
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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