On theory of generalized thermoelastic solids with voids and diffusion |
| |
| Authors: | Baljeet Singh |
| |
| Institution: | 1. Octav Mayer Institute of Mathematics (Romanian Academy), Bd. Carol I, nr. 8, 700508 Ia?i, Romania;2. Matemática Aplicada 2, UPC, Colón 11, 08222 Terrassa, Barcelona, Spain;1. Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan;2. Division of Socio-Environmental Engineering, Faculty of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo, Hokkaido 060-8628, Japan;3. Department of Environmental Sciences, University of Yamanashi, 4-4-37, Takeda, Kofu, Yamanashi 400-8510, Japan;1. Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt;2. Department of Mathematical and Physical Sciences, Nizwa University, Nizwa 611, P.O. Box 1357, Oman;3. Arab Academy for Science and Technology, P.O. Box 1029, Alexandria, Egypt;1. Laboratório de Análise Numérica e Astrofísica, Departamento de Matemática, Universidade Federal de Santa Maria, 97105-900, Santa Maria, RS, Brazil;2. Ecole Nationale d''Ingénieurs de Bizerte, Université de Carthage, BP66, Campus Universitaire, Menzel Abderrahman 7035, Tunisia;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt |
| |
| Abstract: | Governing equations of thermoelastic diffusion material with voids are modified with the help of Lord and Shulman theory of generalized thermoelasticity. These governing equations are then solved in two-dimension to show the existence of four coupled longitudinal waves and a shear wave. The complex absolute values of the speeds of the coupled longitudinal waves are computed numerically against the frequency for Magnesium material. The reflection of these plane waves from a stress free thermally insulated boundary is also studied, where the dependence of the reflection coefficients on angle of incidence is shown graphically for the incidence of coupled longitudinal wave only. The speeds and reflection coefficients of plane waves are also computed numerically in the absence of voids and diffusion parameters, which are shown graphically to observe the effects of voids and diffusion. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
