A one-dimensional quasi-static contact problem in linear thermoelasticity

European Journal of Applied Mathematics

Volumn 4, Issue 2, 1993, Pages 151-174

  Copetti, M I M ^a,b   Elliott, C M ^a  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b FEDERAL UNIVERSITY OF SANTA MARIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000568586     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792500001042     Document Type: Article

References (9)

1. Boley B. A. & Weiner J. H. 1960 Theory of Thermal Stresses. Wiley.
2. Carlson D. E. 1972 Linear thermoelasticity. In Truesdell C., ed., Handbuch der Physik. Vol. VIa/2, 297-345.
3. DAY W. A. 1985 Heat Conduction with Linear Thermoelasticity. Springer-Verlag.
4. Duvaut G. 1980 Free boundary problem connected with thermoelasticity and unilateral contact. In Free Boundary Problems. Vol. II, Roma.
5. Duvaut G. & Lions J. L. 1972 Inéquations en thermoélasticité et magnétohydrodynamique. Arch. Rat. Mech. Anal., 46, 241-279.
6. Gilbert R. P., Shi P. & Shillor M. 1990 A quasi-static contact problem in linear thermoelasticity. Rediconti di Matematica. (To appear.)
7. Shi P. & Shillor M. 1990 Uniqueness and stability of the solution to a thermoelastic contact problem. Euro. J. Appl. Math., 1 (4), 371-387. S0956792500000309
8. Shi P., Shillor M. & Zou X. 1990 Numerical solutions to one dimensional problems of thermoelastic contact. Preprint. Oakland University.
9. Thomée V. 1984 Galerkin finite element methods for parabolic problems. Vol. 1054 of Lecture Notes in Mathematics. Springer-Verlag.