横观各向同性半空间广义热冲击问题的特征值法

IF 2.4 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Journal of Molecular and Engineering Materials Pub Date : 2017-07-27 DOI:10.1142/S2251237317500022
I. Abbas, A. Hobiny
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引用次数: 1

摘要

在本工作中,用广义热弹性理论研究了均匀、横向各向同性弹性介质中的扰动。基于三种不同的理论,将该公式应用于广义热弹性力学。拉普拉斯变换和傅立叶变换被用来解析地解决这个问题。基本方程被写成拉普拉斯变换域中的向量矩阵微分方程,然后用特征值法求解。解析地得到了傅立叶变换的逆。该结果用于解决特定的二维问题。通过几个数值实验对该技术进行了说明。对结果进行了数值验证并绘制了图表。
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Eigenvalue Approach in a Generalized Thermal Shock Problem for a Transversely Isotropic Half-Space
In the present work, the investigating of the disturbances in a homogeneous, transversely isotropic elastic medium with generalized thermoelastic theory has been concerned. The formulation is applied to generalized thermoelasticity based on three different theories. Laplace and Fourier transforms are used to solve the problem analytically. The essential equations have been written as a vector-matrix differential equation in the Laplace transform domain, then solved by an eigenvalue approach. The inverses of Fourier transforms are obtained analytically. The result is used to solve a specific two-dimensional problem. The technique is illustrated by means of several numerical experiments performed. The results were verified numerically and are plotted.
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来源期刊
Journal of Molecular and Engineering Materials
Journal of Molecular and Engineering Materials MATERIALS SCIENCE, MULTIDISCIPLINARY-
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