具有圆柱孔的无限介质的热弹性记忆响应和温度相关性质

Q4 Chemical Engineering

Applied and Computational Mechanics Pub Date : 2021-04-01 DOI:10.22055/JACM.2021.36048.2784

E. Awwad, A. Abouelregal, A. Hassan

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引用次数: 5

摘要

本研究讨论了一种基于记忆的变热材料性质及其衍生物的广义热弹性模型。在此基础上，对具有圆柱孔的无限长均匀各向同性弹性体进行了热行为分析。应用记忆导数原理和热传导广义定律推导了控制方程。在数值形式下，利用拉普拉斯变换技术求解控制微分方程。数值计算显示在图表中，以解释热变量材料性能和记忆相关导数的影响。此外，通过时滞、核函数和边界条件等参数的影响，研究了圆柱孔的响应。最后对所得结果与前人文献的结果进行了验证。

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Thermoelastic Memory-dependent Responses to an Infinite Medium with a Cylindrical Hole and Temperature-dependent Properties

The present research discusses a generalized thermoelastic model with variable thermal material properties and derivatives based on memory. Based on this new model, an infinitely long homogeneous, isotropic elastic body with a cylindrical hole is analyzed for thermal behavior analysis. The governing equations are deduced by the application of the principle of memory-dependent derivatives and the generalized law on heat conduction. In a numerical form, the governing differential equations are solved utilizing the Laplace transform technique. Numerical calculations are shown in graphs to explain the effects of the thermal variable material properties and memory dependent derivatives. In addition, the response of the cylindrical hole is studied through the effects of many parameters such as time delay, the kernel function and boundary conditions. The results obtained with those from previous literature are finally verified.

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来源期刊

Applied and Computational Mechanics Engineering-Computational Mechanics

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

14 weeks

期刊介绍： The ACM journal covers a broad spectrum of topics in all fields of applied and computational mechanics with special emphasis on mathematical modelling and numerical simulations with experimental support, if relevant. Our audience is the international scientific community, academics as well as engineers interested in such disciplines. Original research papers falling into the following areas are considered for possible publication: solid mechanics, mechanics of materials, thermodynamics, biomechanics and mechanobiology, fluid-structure interaction, dynamics of multibody systems, mechatronics, vibrations and waves, reliability and durability of structures, structural damage and fracture mechanics, heterogenous media and multiscale problems, structural mechanics, experimental methods in mechanics. This list is neither exhaustive nor fixed.