One-dimensional Solution of Hygrothermoelastic Rod Problem by Laplace Transformation

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-03-22 DOI:10.1134/S0025654424606268

Praveen Ailawalia, Ibrahim S. Elshazly, Borhen Halouani, Harshit Tyagi, E. S. Elidy, Khaled Lotfy

引用次数: 0

Abstract

A thermal shock problem in a hygrothermoelastic rod of length \(l\) is solved by the Laplace transformation technique. One end of the rod is subjected to a sudden heat source. The governing equations of the medium are transformed using Laplace transformation and the analytical expressions of displacement, moisture concentration, temperature distribution, and stresses are obtained. These transformed components are then inverted by the numerical inversion method and are presented graphically for different periods. The effect of moisture concentration is also shown through the graphical representations.

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湿热弹性棒问题的拉普拉斯变换一维解

用拉普拉斯变换方法求解了长度为\(l\)的湿热弹性杆的热冲击问题。棒的一端受到突然的热源。利用拉普拉斯变换对介质的控制方程进行变换，得到了介质的位移、水分浓度、温度分布和应力的解析表达式。然后用数值反演方法对这些变换后的分量进行反演，并以图形形式表示不同时期的分量。水分浓度的影响也通过图形表示出来。

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

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.