Numerical analysis and simulations of quasistatic frictionless contact problems
Fernández García, José ; Han, Weimin ; Shillor, Meir ; Sofonea, Mircea
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001), p. 205-222 / Harvested from The Polish Digital Mathematics Library
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A summary of recent results concerning the modelling as well as the variational and numerical analysis of frictionless contact problems for viscoplastic materials are presented. The contact is modelled with the Signorini or normal compliance conditions. Error estimates for the fully discrete numerical scheme are described, and numerical simulations based on these schemes are reported.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:207500 
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     author = {Fern\'andez Garc\'\i a, Jos\'e and Han, Weimin and Shillor, Meir and Sofonea, Mircea},
     title = {Numerical analysis and simulations of quasistatic frictionless contact problems},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {11},
     year = {2001},
     pages = {205-222},
     zbl = {0985.74045},
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     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv11i1p205bwm}
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Fernández García, José; Han, Weimin; Shillor, Meir; Sofonea, Mircea. Numerical analysis and simulations of quasistatic frictionless contact problems. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 205-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i1p205bwm/

[000] Ciarlet P.G. (1978): The Finite Element Method for Elliptic Problems. - Amsterdam: North Holland. | Zbl 0383.65058

[001] Chen J., Han W. and Sofonea M. (1999a): Numerical analysis of a class of evolution systems arising in viscoplasticity. - (preprint).

[002] Chen J., Han W. and Sofonea M. (1999b): Numerical analysis of a contact problem in rate-type elastic-viscoplasticity. - (preprint).

[003] Cristescu N. and Suliciu I. (1982): Viscoplasticity. - Bucharest: Martinus Nijhoff Publishers, Editura Tehnica.

[004] Duvaut G. and Lions J.L. (1976): Inequalities in Mechanics and Physics. - Berlin: Springer Verlag. | Zbl 0331.35002

[005] Fernández-García J., Sofonea M. and Viaño J.M. (1999): Numerical approach of a frictionless contact problem for elastic-viscoplastic materials with normal compliance. - to appear in Numer. Math.. | Zbl 1143.65391

[006] Fernández-García J., Han W., Shillor M. and Sofonea M. (2000): Recent advances on variational and numerical analysis in contact mechanics. - Proc. MTNS 2000, Perpignan, France, 2000, published on CD-ROM.

[007] Fichera G. (1964): Problemi elastostatici con vincoli unilaterali. II. Problema di Signorini con ambique condizioni al contorno. - Mem. Accad. Naz. Lincei, S.VIII, Vol.VII, Sez.I, 5, pp.91-140. | Zbl 0146.21204

[008] Hlaváček I., Haslinger J., Necăs J. and Lovíšek J. (1988): Solution of Variational Inequalities in Mechanics. - New York: Springer-Verlag. | Zbl 0654.73019

[009] Ionescu I.R. and Sofonea M. (1993): Functional and Numerical Methods in Viscoplasticity. - Oxford: Oxford University Press. | Zbl 0787.73005

[010] Kikuchi N. and Oden J.T. (1988): Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods. - Philadelphia: SIAM. | Zbl 0685.73002

[011] Raous M., Jean M. and Moreau J.J. (Eds.) (1995): Contact Mechanics. - New York: Plenum Press.

[012] Shillor M. (Ed.) (1998): Recent advances in contact mechanics. - Math. Computer Model., Vol.28, No.4-8.

[013] Sofonea M. (1997): On a contact problem for elastic-viscoplastic bodies. - Nonlin. Anal., Vol.29, No.9, pp.1037-1050. | Zbl 0918.73098