On the domain of influence in thermoelasticity of bodies with voids

Marin Marin

Archivum Mathematicum (1997)

  • Volume: 033, Issue: 4, page 301-308
  • ISSN: 0044-8753

Abstract

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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 θ and the change in volume fraction σ generate no disturbance outside a bounded domain B t .

How to cite

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Marin, Marin. "On the domain of influence in thermoelasticity of bodies with voids." Archivum Mathematicum 033.4 (1997): 301-308. <http://eudml.org/doc/248038>.

@article{Marin1997,
abstract = {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 $B_t$.},
author = {Marin, Marin},
journal = {Archivum Mathematicum},
keywords = {thermoelasticity; domain of influence; voids; displacement field; temperature; change in volume fraction},
language = {eng},
number = {4},
pages = {301-308},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the domain of influence in thermoelasticity of bodies with voids},
url = {http://eudml.org/doc/248038},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Marin, Marin
TI - On the domain of influence in thermoelasticity of bodies with voids
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 4
SP - 301
EP - 308
AB - 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 $B_t$.
LA - eng
KW - thermoelasticity; domain of influence; voids; displacement field; temperature; change in volume fraction
UR - http://eudml.org/doc/248038
ER -

References

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  1. Carbonaro B., Russo R., [unknown], J. Elasticity, 14, 163-174 (1984). (1984) Zbl0547.73011MR0747058
  2. Chandrasekharaiah D. S., [unknown], J. Elasticity, 18, 173-179 (1987). (1987) Zbl0875.73015MR0905813
  3. Cowin S. C., Nunziato J. W., [unknown], J. Elasticity, 13, 125-147 (1983). (1983) Zbl0523.73008
  4. Iesan D., [unknown], J. Elasticity, 15, 215-224 (1985). (1985) Zbl0601.73032MR0792978
  5. Ignaczak J., Carbonaro B., [unknown], J. Thermal Stresses, 9, 79-91 (1986). (1986) MR0838230
  6. Marin M., [unknown], C. R. Acad. Sci. Paris, t. 231, Serie II b, 475-480 (1995). (1995) Zbl0947.92501
  7. Marin M., [unknown], J. Comp. Appl. Math., 70, 115-126 (1996). (1996) Zbl1027.76644MR1392389
  8. Nunziato J. W., Cowin S. C., [unknown], Arch. Rat. Mech. Anal., 72, 175- 201 (1979). (1979) Zbl0444.73018MR0545517

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