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Applicable Analysis
An International Journal
Volume 80, 2001 - Issue 1-2
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Original Articles

On the signorini frictionless contact problem for linear viscoelastic materials

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Pages 177-199 | Received 10 May 2001, Published online: 02 May 2007

  • Andersson , L.E. 1991 . A quasistatic frictional problem with normal compliance . Nonlinear Analysis TMA , 16 : 407 – 428 .
  • Andersson , L.E. 1995 . A global existence result for a quasistatic contact problem with friction . Advances in Mathematical Sciences and Applications , 5 : 249 – 286 .
  • O. Chau, D.Motreanu and M. Sofonea. Quasistatic frictional problems for elastic and viscoelastic materials. to appear in Applications of mathematics.
  • Drabla , S. , Rochdi , M. and Sofonea , M. 1997 . On a frictionless contact problem for elastic-viscoplastic materials with internal state variables. . Mathematical and Computer Modelling , 26 : 31 – 47 .
  • Fichera , G. 1964 . Problemi elastostatici con vincoli unilaterali. II. Problema di Signorini con ambique condizioni al contorNo. . Mem. Accad. Naz. Lincei , VII : 91 – 140 . S. VIII, Sez. I, 5
  • Fernández-Garcia , J.R. , Han , W. , Shillor , M. and Sofonea , M. 2001 . Numerical analysis and simulations of quasistatic frictionless contact problems. . Int. J. Appl. Math. Comput. Sci. , 11 : 205 – 222 .
  • Han , W. and Sofonea , M. 2000 . Numerical analysis of a frictionless contact problem for elastic-viscoplastic materials . Computer Methods in Applied Mechanics and Engineering , 190 : 179 – 191 .
  • Jarušek , J. 1995 . Dynamical contact problems for bodies with a singular memory . Boll. Unione Mat. Ital. , 7 ( 9-A ) : 581 – 592 .
  • Jarušek , J. 1998 . Remark to dynamic contact problems for bodies with a singular memory . Comment. Math. Univ. Carolinae , 39 ( 9-A ) : 545 – 550 .
  • Nečas , J. and Hlavaček , I. 1981 . Mathematical Theory of Elastic and Elastoplastic Bodies: An Introduction. , Amsterdam : Elsevier .
  • Kikuchi , N. and Oden , J.T. 1988 . Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , Philadelphia : SIAM .
  • Klarbring , A. , Mikelič , A. and Shillor , M. 1988 . Frictional contact problems with normal compliance . Int. J. Engng. Sci. , 26 : 811 – 832 .
  • Martins , J.A.C. and Oden , J.T. 1987 . Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws. . Nonlinear Analysis TMA , 11 : 407 – 428 .
  • Rochdi , M. and Sofonea , M. 1997 . On the frictionless contact between two elasticviscoplastic bodies . Quart. J. Mech. Appl. Math. , 50 : 481 – 496 .
  • Rochdi , M. , Shillor , M. and Sofonea , M. 1998 . A quasistatic viscoelastic contact problem with normal compliance and friction . Journal of Elasticity , 51 : 105 – 126 .
  • Signorini A. Sopra a une questioni di elastostatica 1993 Atti della Società Italiana Per il Progresso delle Science
  • Sofonea , M. 1997 . On a conatact problem for elastic-viscoplastic bodies . Nonlinear Analysis, Theory, Methods and Applications , 29 : 1037 – 1050 .
  • Suquet , P. 1982 . Plasticité et homogéneisation . Thesis . 1982 , University of Paris VI.

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