Available in electronic format
Available in print format
Mathematics of Computation
Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
     

Finite element approximation to a contact problem in linear thermoelasticity

Author(s): M. I. M. Copetti.
Journal: Math. Comp. 68 (1999), 1013-1024.
MSC (1991): Primary 65N30, 65N15
Posted: February 19, 1999
Retrieve article in: PDF DVI PostScript
This article is available free of charge

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.


References:

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
8.
C. M. Elliott and T. Qi, A dynamic contact problem in thermoelasticity, Nonlinear Anal., 23, 1994, 883-898. MR 95i:73013
9.
R. P. Gilbert, P. Shi and M. Shillor, A quasistatic contact problem in linear thermoelasticity, Rediconti di Matematica, 10, 1990, 785-808. MR 92m:73109
10.
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
11.
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


Similar Articles:

Retrieve articles in Mathematics of Computation with MSC (1991): 65N30, 65N15

Retrieve articles in all Journals with MSC (1991): 65N30, 65N15


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: 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)
Copyright of article: Copyright 1999, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google