Numerical solution of a thermoviscoelastic contact problem by a penalty method

SIAM Journal on Numerical Analysis

Volumn 41, Issue 4, 2003, Pages 1487-1504

  Copetti, M I M ^a,b   French, D A ^b  

^a FEDERAL UNIVERSITY OF SANTA MARIA   (Brazil)

^b UNIVERSITY OF CINCINNATI   (United States)

Author keywords

Contact problem; Penalty method; Thermoviscoelasticity

Indexed keywords

CONTACT PROBLEM; NUMERICAL SOLUTIONS; PENALTY METHOD; THERMOVISCOELASTICITY;

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ERROR ANALYSIS; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; VISCOELASTICITY;

PROBLEM SOLVING;

EID: 4444379509     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142902403668     Document Type: Article

References (14)

1. K. T. ANDREWS, P. SHI, M. SHILLOR, AND S. WRIGHT, Thermoelastic contact with Barber's heat exchange condition, Appl. Math. Optim., 28 (1993), pp. 11-48.
2. J. R. BARBER, J. DUNDURS, AND M. COMNINOU, Stability considerations in thermoelastic contact, ASME J. Appl. Mech., 47 (1980), pp. 871-874.
3. B. A. BOLEY AND J. H. WEINER, Theory of Thermal Stresses, John Wiley, New York, 1960.
4. M. I. M. COPETTI, Finite element approximation to a contact problem in linear thermoelasticity, Math. Comp., 68 (1999), pp. 1013-1024.
5. M. I. M. COPETTI, A one-dimensional thermoelastic problem with unilateral constraint, Math. Comput. Simulation, 59 (2002), pp. 361-376.
6. M. I. M. COPETTI AND C. M. ELLIOTT, A one-dimensional quasi-static contact problem in linear thermoelasticity, European J. Appl. Math., 4 (1993), pp. 151-174.
7. M. I. M. COPETTI AND D. A. FRENCH, Numerical studies of the stability of steady-state solutions to a contact problem in coupled thermoelasticity, Appl. Math. Modelling, to appear.
8. M. CROUZEIX AND J. RAPPAZ, On Numerical Approximation in Bifurcation Theory, Masson, Paris, 1990.
9. R. GLOWINSKI, J.-L. LIONS, AND R. TRÉMOLIÈRES, Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam, 1981.
10. S. JIANG AND R. RACKE, Evolution Equations in Thermoelasticity, Chapman and Hall/CRC, Boca Raton, FL, 2000.
11. K. KUTTLER AND M. SHILLOR, A one-dimensional thermoviscoelastic contact problem, Adv. Math. Sci. Appl., 4 (1994), pp. 141-159.
12. J. A. PELESKO, Nonlinear stability, thermoelastic contact, and the Barber condition, ASME J. Appl. Mech., 68 (2001), pp. 1-7.
13. M. G. SRINIVASAN AND D. M. FRANCE, Nonuniqueness in steady-state heat transfer in prestressed duplex tubes-analysis and case history, ASME J. Appl. Mech., 52 (1985), pp. 257-262.
14. K. YOSIDA, Lectures on Differential and Integral Equations, Interscience, New York, London, 1960.