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Finite element approximation
to a contact problem
in linear thermoelasticity
Author:
M. I. M. Copetti
Journal:
Math. Comp. 68 (1999), 1013-1024
MSC (1991):
Primary 65N30, 65N15
Posted:
February 19, 1999
MathSciNet review:
1627854
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: A finite element approximation to the solution of a one-dimensional linear thermoelastic problem with unilateral contact of the Signorini type and heat flux is proposed. An error bound is derived and some numerical experiments are performed.
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- 1.
- K. T. Andrews, P. Shi, M. Shillor and S. Wright, Thermoelastic contact with Barber's heat exchange condition, Appl. Math. Optim., 28, 1993, 11-48. MR 94e:73051
- 2.
- B. A. Boley and J. H. Weiner, Theory of thermal stresses, John Wiley, 1960. MR 22:3265
- 3.
- D. E. Carlson, Linear thermoelasticity, in Handbuch der physik, (ed. C. Truesdell), vol. VIa/2, 297-345, 1972.
- 4.
- M. I. M. Copetti and C. M. Elliott, A one-dimensional quasi-static contact problem in linear thermoelasticity, Euro. Jnl. Appl. Math., 4, 1993, 151-174. MR 94i:73079
- 5.
- M. Crouzeix and J. Rappaz, On numerical approximation in bifurcation theory, Masson, 1990. MR 92d:65003
- 6.
- W. A. Day, Heat conduction within linear thermoelasticity, Springer, New York, 1985. MR 87c:73001
- 7.
- G. Duvaut, Free boundary problem connected with thermoelasticity and unilateral contact, in Free boundary problems vol. II, pp. 217-236, Rome, 1980. MR 83g:73013
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- C. M. Elliott and T. Qi, A dynamic contact problem in thermoelasticity, Nonlinear Anal., 23, 1994, 883-898. MR 95i:73013
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- P. Shi and M. Shillor, Uniqueness and stability of the solution to a thermoelastic contact problem, Euro. J. Appl. Math., 1, 1990, 371-387. MR 92f:73010
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- P. Shi, M. Shillor and X. Zou: Numerical solutions to one dimensional problems of thermoelastic contact, Comput. Math. Appl., 22, 1991, 65-78. MR 92k:73064
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Additional Information
M. I. M. Copetti
Affiliation:
Departamento de Matemática, Universidade Federal de Santa Maria, 97119-900 Santa Maria, RS, Brasil
Email:
mimc@lana.ccne.ufsm.br
DOI:
http://dx.doi.org/10.1090/S0025-5718-99-01054-6
PII:
S 0025-5718(99)01054-6
Keywords:
Thermoelasticity,
finite element method
Received by editor(s):
May 7, 1997
Received by editor(s) in revised form:
January 6, 1998
Posted:
February 19, 1999
Additional Notes:
This work was partially supported by CNPq (grant 300766/92)
Article copyright:
© Copyright 1999 American Mathematical Society
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