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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 14
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Articles

On normal compliance quasistatic viscoplastic contact problem with friction, damage and foundation memory property

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Pages 4027-4043 | Received 07 Jul 2020, Accepted 30 May 2021, Published online: 26 Jul 2022

References

  • Cristescu N, Suliciu I. Viscoplasticity. Bucharest: Martinus Nijhoff Publishers, Editura Tehnica; 1982.
  • Ionescu IR, Sofonea M. Functional and numerical methods in viscoplasticity. Oxford: Oxford University Press; 1993.
  • Fernandez-Garcia JR, Han W, Sofonea M, et al. Variational and numerical analysis of a frictionless contact problem for elastic-viscoplastic materials with internal state variable. Q J Mech Appl Math. 2001;54:501–522.
  • Han W, Sofonea M. Quasistatic contact problems in viscoelasticity and viscoplasticity. Providence (RI)/Somerville: American Mathematical Society/International Press; 2002. (Studies in Advanced Mathematics, 30).
  • Barboteu M, Matei A, Sofonea M. Analysis of quasistatic viscoplastic contact problems with normal compliance. Q J Mech Appl Math. 2012;65:555–579.
  • Sofonea M, Matei A. Mathematical models in contact mechanics. Cambridge: Cambridge University Press; 2012. (London Mathematical Society Lecture Note Series, 398).
  • Sofonea M, Patruescu E, Farcas A. A viscoplastic contact problem with normal compliance, unilateral constraint and memory term. Appl Math Optim. 2014;69(2):175–198.
  • Kulig A. Hyperbolic hemivariational inequalities for dynamic viscoelastic contact problems. J Elast. 2013;110(1):1–31.
  • Kulig A, Migórski S. Solvability and continuous dependence results for second order nonlinear evolution inclusions with a Volterra-type operator. Nonlinear Anal Theory. 2012;75(13):4729–4746.
  • Migórski S. Existence and convergence results for evolution hemivariational inequalities. Topolog Methods Nonlinear Anal. 2000;16(1):125–144.
  • Migórski S. Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction. Appl Anal. 2005;84(7):669–699.
  • Migórski S. Boundary hemivariational inequalities of hyperbolic type and applications. J Global Optim. 2005;31(3):505–533.
  • Han W, Migórski S, Sofonea M. A class of variational-hemivariational inequalities with applications to frictional contact problems. SIAM J Math Anal. 2014;46:3891–3912.
  • Han J, Migórski S. A quasistatic viscoelastic frictional contact problem with multivalued normal compliance, unilateral constraint and material damage. J Math Anal Appl. 2016;443:57–80.
  • Kulig A. A quasistatic viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction. Nonlinear Anal Real World Appl. 2017;33:226–236.
  • Migórski S, Ochal A, Sofonea M. History-dependent variational–hemivariational inequalities in contact mechanics. Nonlinear Anal Real World Appl. 2015;22:604–618.
  • Clarke FH. Opimization and nonsmooth analysis. New York (NY): Wiley; 1983.
  • Sofonea M, Avramescu C, Matei A. A fixed point result with applications in the study of viscoplastic frictionless contact problems. Commun Pure Appl Anal. 2008;7(3):645–658.
  • Kulig A. Variational-hemivariational approach to quasistatic viscoplastic contact problem with normal compliance, unilateral constraint, memory term, friction and damage. Nonlinear Anal Real World Appl. 2018;44:401–416.
  • Sofonea M, Matei A. History-dependent quasi-variational inequalities arising in contact mechanics. Euro J Appl Math. 2011;22(5):471–491.
  • Migórski S, Lui Z, Zeng S. A class of history-dependent differential variational inequalities with application to contact problems. Optim. 2020;69:734–775.
  • Sofonea M, Matei A. Convergence and optimization results for a history-dependent variational problem, arXiv 1912.11338.
  • Sofonea M, Patruescu E, Ramadan A. A mixed variational formulation of a contact problem with wear. Acta Appl Math. 2018;153(1):125–146.

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