Memory response in a two-dimensional transversely isotropic thick plate with varying heat source,ZAMM - Journal of Applied Mathematics and Mechanics

当前位置： X-MOL 学术 › ZAMM › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Memory response in a two-dimensional transversely isotropic thick plate with varying heat source
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-12-16 , DOI: 10.1002/zamm.202000236
Mohsin Islam ₁ , Sudip Mondal ₂

Affiliation

This present survey deals with a novel mathematical model of generalized thermoelasticity which investigates the transient phenomena in a two-dimensional problem for a transversely isotropic thick plate having a heat source. The upper surface of the plate is stress-free with prescribed surface temperature while the lower surface of the plate rests on a rigid foundation and is thermally insulated. The study is carried out in the context of the three-phase-lag thermoelastic model. The governing equations for displacement and temperature fields are obtained in the Laplace-Fourier transform domain by applying the Laplace and Fourier transform techniques. The inversion of double transform has been done numerically. The numerical inversion of the Laplace transform is done by using a method based on the Fourier series expansion technique. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. The effect of the memory-dependent derivative on the solutions has been studied.

中文翻译：

具有变化热源的二维横向各向同性厚板的记忆响应

本次调查涉及一种新的广义热弹性数学模型，该模型研究具有热源的横向各向同性厚板的二维问题中的瞬态现象。板的上表面在规定的表面温度下无应力，而板的下表面位于刚性基础上并隔热。该研究是在三相滞后热弹性模型的背景下进行的。通过应用拉普拉斯和傅里叶变换技术，在拉普拉斯-傅里叶变换域中获得位移和温度场的控制方程。双变换的反演已在数值上完成。拉普拉斯变换的数值反演是通过使用基于傅立叶级数展开技术的方法完成的。获得并以图形方式描述了实际感兴趣的数量的数值估计。已经研究了依赖于记忆的导数对解的影响。

更新日期：2020-12-16

点击分享查看原文

点击收藏

阅读更多本刊最新论文