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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 2
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Articles

Analysis of a history-dependent frictional contact problem

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Pages 428-444 | Received 09 Nov 2012, Accepted 08 Feb 2013, Published online: 03 Apr 2013

References

  • Duvaut G, Lions J-L. Inequalities in mechanics and physics. Berlin: Springer-Verlag; 1976.
  • Eck C, Jarušek J, Krbeč M. Unilateral contact problems: variational methods and existence theorems, Pure and Applied Mathematics 270. New York (NY): Chapman/CRC Press; 2005.
  • Han W, Sofonea M. Quasistatic contact problems in viscoelasticity and viscoplasticity, Studies in Advanced Mathematics 30. American Mathematical Society. Providence (RI): AMS and Sommerville (MA): International Press; 2002.
  • Panagiotopoulos PD. Inequality problems in mechanics and applications. Boston: Birkhäuser; 1985.
  • Shillor M, Sofonea M, Telega JJ. Models and analysis of quasistatic contact, Lecture Notes in Physics 655. Berlin: Springer; 2004.
  • Haslinger J, Hlaváček I, Nečas J. Numerical methods for unilateral problems in solid mechanics. In: Ciarlet PG, Lions J-L, editors. Handbook of numerical analysis. Amsterdam: North-Holland; 1996. p. 313–485.
  • Hlaváček I, Haslinger J, Nečas J, Lovíšek J. Solution of variational inequalities in mechanics. New York (NY): Springer-Verlag; 1988.
  • Kikuchi N, Oden JT. Contact problems in elasticity: a study of variational inequalities and finite element methods. Philadelphia (PA): SIAM; 1988.
  • Laursen TA. Computational contact and impact mechanics. Berlin: Springer; 2002.
  • Wriggers P. Computational contact mechanics. Chichester: Wiley; 2002.
  • Analysis and simulation of contact problems, Lecture Notes in Applied and Computational Mechanics 27 Wriggers P. Nackenhorst U. Springer Berlin 2006
  • Banks HT, Hu S, Kenz ZR. A brief review of elasticity and viscoelasticity for solids. Advances in Applied Mathematics and Mechanics. 2011;3:1–51.
  • Banks HT, Pinter GA, Potter LK, Munoz BC, Yanyo LC. Estimation and control related issues in smart material structure and fluids. In: Caccetta L, et al., editors. Optimization techniques and applications. Perth, Australia; Curtin University Press; 1998. p. 19–34.
  • Banks HT, Pinter GA, Potter LK, Gaitens JM, Yanyo LC. Modeling of quasistatic and dynamic load responses of filled viesoelastic materials. In: Cumberbatch E and Fitt A, editors, Chapter 11, Mathematical modeling: case studies from industry. Cambridge University Press; 2011. p. 229–252.
  • Sofonea M, Matei A. Mathematical models in contact mechanics, London Mathematical Society Lecture Note Series 398. Cambridge: Cambridge University Press; 2012.
  • Oden JT, Martins JAC. Models and computational methods for dynamic friction phenomena. Computer Methods in Applied Mechanics and Engineering. 1985;52:527–634.
  • Klarbring A, Mikelič A, Shillor M. Frictional contact problems with normal compliance. International Journal of Engineering Science. 1988;26:811–832.
  • Klarbring A, Mikelič A, Shillor M. On friction problems with normal compliance. Nonlinear Analysis. 1989;13:935–955.
  • Martins JAC, Oden JT. Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws. Nonlinear Analysis TMA. 1987;11:407–428.
  • Corduneanu C. Problèmes globaux dans la théorie des équations intégrales de Volterra. Annali di Matematica Pura ed Applicata. 1965;67:349–363.
  • Massera JJ, Schäffer JJ. Linear differential equations and function spaces. New York (NY): Academic Press; 1966.
  • Sofonea M, Matei A. History-dependent quasivariational inequalities arising in contact mechanics. European Journal of Applied Mathematics. 2011;22:471–491.
  • Sofonea M, Pătrulescu F. Analysis of a history-dependent frictionless contact problem. Mathematics and, Mechanics of Solids. doi: 10.1177/1081286512440004.
  • Farcaş A, Pătrulescu F, Sofonea M. A history-dependent contact problem with unilateral constraint. Mathematics and its Applications. 2012;2:105–111.
  • Patrulescu F, Farcas A, Sofonea M. A viscoplastic contact problem with normal compliance, unilateral constraint and memory term. Advances in Applied Mathematics and Mechanics. Submitted for publication.

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