Free Access
Issue |
ESAIM: M2AN
Volume 48, Number 3, May-June 2014
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Page(s) | 919 - 942 | |
DOI | https://doi.org/10.1051/m2an/2013127 | |
Published online | 24 April 2014 |
- P. Alart and A. Curnier, A mixed formulation for frictional contact problems prone to Newton like solution methods. Comput. Methods Appl. Mech. Eng. 92 (1991) 353–375. [Google Scholar]
- C. Baiocchi and A. Capelo, Variational and Quasivariational Inequalities: Applications to Free-Boundary Problems. John Wiley, Chichester (1984). [Google Scholar]
- M. Barboteu and M. Sofonea, Modelling and analysis of the unilateral contact of a piezoelectric body with a conductive support. J. Math. Anal. Appl. 358 (2009) 110–124. [CrossRef] [Google Scholar]
- M. Barboteu and M. Sofonea, Analysis and numerical approach of a piezoelectric contact problem. Annals of the Academy of Romanian Scientists, Series on Mathematics and its Applications 1 (2009) 7–31. [MathSciNet] [Google Scholar]
- D. Braess, Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics, 3rd edn. Cambridge University Press, Cambridge (2007). [Google Scholar]
- S.C. Brenner and L.R. Scott, The Mathematical Theory of Finite Element Methods, 3rd edn. Springer-Verlag, New York (2008). [Google Scholar]
- H. Brezis, Equations et inéquations non linéaires dans les espaces vectoriels en dualité. Ann. Inst. Fourier 18 (1968) 115–175. [CrossRef] [MathSciNet] [Google Scholar]
- P.G. Ciarlet, Basic error estimates for elliptic problems, in Handbook of Numerical Analysis, vol. II, edited by P.G. Ciarlet and J.-L. Lions. North-Holland, Amsterdam (1991) 17–351. [Google Scholar]
- G. Duvaut and J.L. Lions, Inequalities in Mechanics and Physics. Springer-Verlag, Berlin (1976). [Google Scholar]
- R. Glowinski, Numerical Methods for Nonlinear Variational Problems. Springer-Verlag, New York (1984). [Google Scholar]
- C. Eck, J. Jarušek and M. Krbeč, Unilateral Contact Problems: Variational Methods and Existence Theorems, vol. 270, Pure Appl. Math. Chapman/CRC Press, New York (2005). [Google Scholar]
- W. Han and B.D. Reddy, Computational plasticity: the variational basis and numerical analysis. Comput. Mech. Adv. 2 (1995) 283–400. [MathSciNet] [Google Scholar]
- W. Han and B.D. Reddy, Plasticity: Mathematical Theory and Numerical Analysis, 2nd edn. Springer-Verlag, New York (2013). [Google Scholar]
- W. Han and M. Sofonea, Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity. In vol. 30, Stud. Adv. Math. American Mathematical Society, Providence, RI-International Press, Sommerville, MA (2002). [Google Scholar]
- J. Haslinger, M. Miettinen and P.D. Panagiotopoulos, Finite Element Method for Hemivariational Inequalities. Theory, Methods Appl. Kluwer Academic Publishers, Boston, Dordrecht, London (1999). [Google Scholar]
- I. Hlaváček, J. Haslinger, J. Necǎs and J. Lovíšek, Solution of Variational Inequalities in Mechanics. Springer-Verlag, New York (1988). [Google Scholar]
- H.B. Khenous, P. Laborde, and Y. Renard, On the discretization of contact problems in elastodynamics. Lect. Notes Appl. Comput. Mech. 27 (2006) 31–38. [CrossRef] [Google Scholar]
- H.B. Khenous, J. Pommier and Y. Renard, Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers. Appl. Numer. Math. 56 (2006) 163–192. [CrossRef] [Google Scholar]
- N. Kikuchi and J.T. Oden, Theory of variational inequalities with applications to problems of flow through porous media. Int. J. Engng. Sci. 18 (1980) 1173–1284. [CrossRef] [Google Scholar]
- N. Kikuchi and T.J. Oden, Contact Problems in Elasticity. SIAM, Philadelphia (1988). [Google Scholar]
- D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and their Applications. In vol. 31, Classics Appl. Math. SIAM, Philadelphia (2000). [Google Scholar]
- T. Laursen, Computational contact and impact mechanics. Springer, Berlin (2002). [Google Scholar]
- J.A.C. Martins and M.D.P. Monteiro Marques, eds., Contact Mechanics. Kluwer, Dordrecht (2002). [Google Scholar]
- E.S. Mistakidis and P.D. Panagiotopulos, Numerical treatment of problems involving nonmonotone boundary or stress-strain laws. Comput. Structures 64 (1997) 553–565. [CrossRef] [Google Scholar]
- E.S. Mistakidis and P.D. Panagiotopulos, The search for substationary points in the unilateral contact problems with nonmonotone friction. Math. Comput. Modelling 28 (1998) 341–358. [CrossRef] [MathSciNet] [Google Scholar]
- P.D. Panagiotopoulos, Inequality Problems in Mechanics and Applications. Birkhäuser, Boston, 1985. [Google Scholar]
- M. Raous, M. Jean and J.J. Moreau, Contact Mechanics. Plenum Press, New York (1995). [Google Scholar]
- M. Shillor, ed., Recent advances in contact mechanics, Special issue of Math. Comput. Modelling 28 (4–8) (1998). [Google Scholar]
- M. Shillor, M. Sofonea and J.J. Telega, Models and Analysis of Quasistatic Contact. Variational Methods. In vol. 655, Lect. Notes Phys. Springer, Berlin (2004). [Google Scholar]
- M. Sofonea, C. Avramescu and A. Matei, A fixed point result with applications in the study of viscoplastic frictionless contact problems. Commun. Pure Appl. Anal. 7 (2008) 645–658. [CrossRef] [MathSciNet] [Google Scholar]
- M. Sofonea, W. Han and M. Shillor, Analysis and Approximation of Contact Problems with Adhesion or Damage. Chapman & Hall/CRC, New York (2006). [Google Scholar]
- M. Sofonea and A. Matei, Variational Inequalities with Applications. A Study of Antiplane Frictional Contact Problems. vol. 18, Adv. Mech. Math. Springer, New York (2009). [Google Scholar]
- M. Sofonea and A. Matei, History-dependent quasivariational inequalities arising in contact mechanics. Eur. J. Appl. Math. 22 (2011) 471–491. [CrossRef] [Google Scholar]
- C.H. Scholz, The Mechanics of Earthquakes and Faulting. Cambridge University Press (1990). [Google Scholar]
- M.A. Tzaferopoulos, E.S. Mistakidis, C.D. Bisbos, and P.D. Panagiotopulos, Comparison of two methods for the solution of a class of nonconvex energy problems using convex minimization algorithms. Comput. Struct. 57 (1995) 959–971. [CrossRef] [Google Scholar]
- P. Wriggers and U. Nackenhorst, eds., Analysis and Simulation of Contact Problems. In vol. 27, Lect. Notes Appl. Comput. Mech. Springer, Berlin (2006). [Google Scholar]
- P. Wriggers, Computational Contact Mechanics. Wiley, Chichester (2002). [Google Scholar]
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