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Original Articles

On the numerical approximation of a frictional contact problem with normal compliance

Numerical approximation of a frictional contact problem with normal compliance

Pages 307-321 | Published online: 15 May 2007

References

  • Andersson , L. E. 1991 . A quasistatic frictional problem with normal compliance . Nonlinear Analysis , 16 : 347 – 369 .
  • Babuška , I. and Aziz , A. K. 1972 . Survey lectures on the mathematical foundations of the finite element method , Edited by: Aziz , A. K. 3 – 359 . New York : Academic Press . The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations
  • Ciarlet , P.G. 1978 . The Finite Element Method for Elliptic Problems North Holland, Amsterdam
  • Demkowicz , L. and Oden , J. T. 1982 . On some existence and uniqueness results in contact problems with nonlocal friction . Nonlinear Analysis , 6 : 1075 – 1093 .
  • Duvaut , G. and Lions , J. L. 1976 . Inequalities in Mechanics and Physics , Berlin : Springer .
  • Ekeland , I. and Temam , R. 1976 . Convex Analysis and Variational Problems North— Holland, Amsterdam
  • Glowinski , R. 1984 . Numerical Methods for Nonlinear Variational Problems , New York : Springer— Verlag .
  • Glowinski , R. , Lions , J. L. and Trémoiières , R. 1981 . Numerical Analysis of Variational Inequalities North—Holland, Amsterdam
  • Han , W. 1991 . A regularization procedure for a simplified friction problem . Mathl. Comput. Modelling , 15 ( 8 ) : 65 – 70 .
  • Han , W. 1992 . Finite element analysis of a holonomic elastic—plastic problem . Numer. Math , 60 ( 8 ) : 493 – 508 .
  • Han W. Reddy B.D. On the finite element method for mixed variational inequalities arising in elastoplasticity SIAM J. Numer. Anal 1995 (.+)
  • Huang , H. , Han , W. and Zhou , J. 1994 . The regularization method for an obstacle problem . Numer. Math , 69 ( 8 ) : 155 – 166 .
  • Kikuchi , N. and Oden , J. T. 1988 . Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , Philadelphia : SIAM .
  • Klarbring , A. , Mikelić , A. and Shillor , M. 1988 . Frictional contact problems with normal compliance . Int. J. Engng. Sci , 26 : 811 – 832 .
  • Klarbing , A. , Mikelić , A. and Shillor , M. 1989 . On Friction problems with normal compliance . Nonlinear Analysis , 13 : 935 – 955 .
  • Lee , C. Y. and Oden , J. T. 1993 . A priori error estimation of hp—finite element approximations of frictional contact problems with normal compliance . Int. J. Engng. Sci , 31 : 927 – 952 .
  • Lee , C. Y. and Oden , J. T. 1993 . Theory and approximation of quasistatic frictional contact problems . Comp. Meths. Appl. Mech. Engng , 106 : 407 – 429 .
  • 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 , 11 : 407 – 428 .
  • Oden , J. T. and Martins , J. A. C. 1985 . Models and computational methods for dynamic friction phenomena . Comp. Meths. Appl. Mech. Engng , 52 : 527 – 634 .
  • Rabier , P. , Martins , J. A. C. , Oden , J. T. and Campos , L. 1986 . Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws . Int. J. Engng. Sci , 24 : 1755 – 1768 .
  • Redely , B. D. and Griffin , T. B. 1988 . Variational principles and convergence of finite element approximations of a holonomic elastic—plastic problem . Numer. Math , 52 : 101 – 117 .

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