A two-dimensional thermoelasticity problem for thermomechanical shock with two relaxation times

被引：5
|
作者：
El-Maghraby, NM [1 ]
Yossef, HM [1 ]
机构：
[1] Arab Acad Sci & Technol, Dept Basic & Appl Sci, Alexandria, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 170卷 / 01期
关键词：
elasticity; thermoelasticity; two relaxation times; mechanical shock;
D O I：
10.1016/j.amc.2004.10.077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work a two-dimensional problem of thermoelasticity with two relaxation times is introduced. Laplace and Fourier transform techniques are used. The resulting formulation is applied to a thermomechanical shock half-space problem. The solution in the transformed domain obtained by using a direct approach. Numerical inversion of both transforms is carried out to obtain the temperature, stress and displacement distributions in the physical domain. Numerical results are represented graphically. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：172 / 184
页数：13
相关论文
共 50 条
  • [31] On a two-dimensional model of generalized thermoelasticity with application
    Ahmed, Ethar A. A.
    El-Dhaba, A. R.
    Abou-Dina, M. S.
    Ghaleb, A. F.
    [J]. SCIENTIFIC REPORTS, 2022, 12 (01)
  • [32] ONE-DIMENSIONAL INITIAL-BOUNDARY VALUE PROBLEM FOR A SEMI-SPACE IN THERMOELASTICITY WITH TWO RELAXATION TIMES.
    Jakubowska, Matylda
    [J]. Bulletin of the Polish Academy of Sciences: Technical Sciences, 1985, 33 (5-6): : 205 - 216
  • [33] On a two-dimensional model of generalized thermoelasticity with application
    Ethar A. A. Ahmed
    A. R. El-Dhaba
    M. S. Abou-Dina
    A. F. Ghaleb
    [J]. Scientific Reports, 12
  • [34] Two-Dimensional Thermal Shock Problem of Generalized Magneto-Thermoelasticity with a Time-Fractional Heat Conduction Law
    Bachher, M.
    Sarkar, N.
    [J]. JOURNAL OF MOLECULAR AND ENGINEERING MATERIALS, 2016, 4 (02)
  • [35] Two-temperature theory in generalized magneto-thermoelasticity with two relaxation times
    Ezzat, Magdy A.
    El-Karamany, Ahmed S.
    [J]. MECCANICA, 2011, 46 (04) : 785 - 794
  • [36] Two-temperature theory in generalized magneto-thermoelasticity with two relaxation times
    Magdy A. Ezzat
    Ahmed S. El-Karamany
    [J]. Meccanica, 2011, 46 : 785 - 794
  • [37] Two dimensional distribution of relaxation times
    Mikonis, A.
    Banys, J.
    Grigalaitis, R.
    Lapinskas, S.
    Matulis, A.
    Voelkel, G.
    [J]. FERROELECTRICS, 2007, 353 : 588 - +
  • [38] Single particle and momentum relaxation times in two-dimensional electron systems
    MacLeod, Sarah J.
    Martin, Theodore P.
    Micolich, Adam P.
    Hamilton, Alex R.
    [J]. DEVICE AND PROCESS TECHNOLOGIES FOR MICROELECTRONICS, MEMS, PHOTONICS AND NANOTECHNOLOGY IV, 2008, 6800
  • [39] State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times
    Ezzat, MA
    Othman, MI
    El-Karamany, AMS
    [J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (11) : 1251 - 1274
  • [40] Two-Dimensional Poroelastic Problem for Saturated Soil Under Fractional Order Theory of Thermoelasticity
    Guo, Ying
    Xiong, Chunbao
    Ma, Jianjun
    Li, Da
    Wang, Chaosheng
    [J]. TRANSPORT IN POROUS MEDIA, 2022, 141 (03) : 695 - 712
12345