Three-dimensional thermal shock problem in the frame of memory-dependent generalized thermoelasticity

被引：0
作者：
Nantu Sarkar
Mohamed I. A. Othman
机构：
[1] University of Calcutta,Department of Applied Mathematics
[2] Zagazig University,Department of Mathematics, Faculty of Science
来源：
Indian Journal of Physics | 2021年 / 95卷
关键词：
Generalized thermoelasticity; Lord–Shulman model; Time delay; Memory-dependent; Eigenvalue; Derivative; Kernel function; 44.05.+e; 81.40.Jj; 62.20.fq; 62.20.Dc; 62.40.+i;
D O I：
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中图分类号：
学科分类号：
摘要：
The Lord–Shulman theory of generalized thermoelasticity based on a memory-dependent derivative is employed to study the thermoelastic response in a three-dimensional elastic half-space medium whose free surface is assumed to be traction-free and subjected to a thermal shock. The numerical solutions for the field variables are presented graphically and analyzed for various values of the time delay parameter. The predictions of the new model are discussed and compared with the Lord–Shulman model (without memory-dependent derivative).
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页码：459 / 469
页数：10
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