On the domain of influence in thermoelasticity of bodies with voids
Archivum mathematicum, Tome 33 (1997) no. 4, pp. 301-308
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The domain of influence, proposed by Cowin and Nunziato, is extended to cover the thermoelasticity of bodies with voids. We prove that for a finite time $t>0$ the displacement field $u_{i}$, the temperature $\theta $ and the change in volume fraction $\sigma$ generate no disturbance outside a bounded domain $B_t$.
The domain of influence, proposed by Cowin and Nunziato, is extended to cover the thermoelasticity of bodies with voids. We prove that for a finite time $t>0$ the displacement field $u_{i}$, the temperature $\theta $ and the change in volume fraction $\sigma$ generate no disturbance outside a bounded domain $B_t$.
Classification :
35Q72, 73B30, 73C02, 74B99, 74G30, 74H25, 74H99
Keywords: thermoelasticity; domain of influence; voids
Keywords: thermoelasticity; domain of influence; voids
Marin, Marin. On the domain of influence in thermoelasticity of bodies with voids. Archivum mathematicum, Tome 33 (1997) no. 4, pp. 301-308. http://geodesic.mathdoc.fr/item/ARM_1997_33_4_a3/
@article{ARM_1997_33_4_a3,
author = {Marin, Marin},
title = {On the domain of influence in thermoelasticity of bodies with voids},
journal = {Archivum mathematicum},
pages = {301--308},
year = {1997},
volume = {33},
number = {4},
mrnumber = {1601329},
zbl = {0912.73011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1997_33_4_a3/}
}
[1] Carbonaro B., Russo R.: J. Elasticity, 14, 163-174 (1984). | MR | Zbl
[2] Chandrasekharaiah D. S.: J. Elasticity, 18, 173-179 (1987). | MR | Zbl
[3] Cowin S. C., Nunziato J. W.: J. Elasticity, 13, 125-147 (1983). | Zbl
[4] Iesan D.: J. Elasticity, 15, 215-224 (1985). | MR | Zbl
[5] Ignaczak J., Carbonaro B.: J. Thermal Stresses, 9, 79-91 (1986). | MR
[6] Marin M.: C. R. Acad. Sci. Paris, t. 231, Serie II b, 475-480 (1995). | Zbl
[7] Marin M.: J. Comp. Appl. Math., 70, 115-126 (1996). | MR | Zbl
[8] Nunziato J. W., Cowin S. C.: Arch. Rat. Mech. Anal., 72, 175- 201 (1979). | MR | Zbl