58
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

An Optimization-Based Domain Decomposition Method for a Two-Body Contact Problem

Pages 587-605 | Published online: 31 Aug 2006

References

  • Dostál , Z. , Gomes Neto , F. A. M. and Santos , S. A. 2000 . Solution of contact problems by FETI domain decomposition with natural coarse space projection . Comput. Methods Appl. Mech. Engrg. , 190 ( 13–14 ) : 1611 – 1627 .
  • Dureisseix , D. and Farhat , C. 2001 . A numerically scalable domain decomposition method for solution of frictionless contact problems . Internat. J. Numer. Methods Engrg. , 50 ( 12 ) : 2643 – 2666 .
  • Farhat , C. and Roux , F-X. 1991 . A method of finite element reearing and interconnecting and its parallel solution algorithm . Internat. J. Numer. Methods Engrg. , 32 : 1205 – 1227 .
  • Gonzáles , R. L. V. and Reyero , G. F. Some applications of decomposition techniques to systems of coupled variational inequalities . INRIA research report RR: . 1997 , Rocquencourt . pp. 3145
  • Hansbo , P. and Johnson , C. “ Adaptative finite element methods for elastostatic contact problems ” . In Grid Generation and Adaptative Algorithms Edited by: Bern , M. W. , Flaherty , J. E. and Luskin , M. 135 – 149 . Springer .
  • Haslinger , J. 1988 . “ Approximation of contact problem, Shape optimization in contact problems ” . In Nonsmooth Mechanics and Applications Edited by: Springer , J. J. , Moreau and Panagiotopoulos , P. D. P. 223 – 278 .
  • Haslinger , J. , Hlavácěk , I. and Necǎs , J. 1996 . “ Numerical methods for unilateral problems in solid Mechanics ” . In Handbook of Numerical Analysis Edited by: Ciarlet , P. G. and Lions , J. L. Vol. 4 , 313 – 486 . North-Holland
  • Haslinger , J. , Neittaanmki , P. and Tihonen , T. 1986 . Shape optimization in contact problems based on penalization of the state inequality . Aplikace Matematiky , 31 ( 1 ) : 54 – 77 .
  • Hlavácěk , I. , Haslinger , J. , Necǎs , J. and Lovíšek , J. Solution of Variational inequalities in Mechanics New York : Springer .
  • Kikuchi , N. and Oden , J. T. 1988 . Contact problems in elasticity: a study of variational inequalities and finite element methods , SIAM Studies 8 Philadelphia
  • Kikuchi , N. and Song , Y. J. 1981 . Penalty/finite element approximations of a class of unilateral problems in linear elasticity . Quart. Appl. Math. , 39 : 1 – 22 .
  • Nash , S. G. 1984 . Newton-type minimization via the Lanczos method . SIAM J. Num. Anal. , 21 : 770 – 778 .
  • Papadopoulos , P. , Jones , R. E. and Solberg , J. M. 1995 . A novel finite element formulation for frictionless contact problems . Internat. J. Numer. Methods Engrg. , 38 : 2603 – 2617 .
  • Papadopoulos , P. and Solberg , J. M. 1998 . A Lagrange multiplier method for the finite element solution of frictionless contact problem . Mathl. Comput. Modelling , 28 ( 4–8 ) : 373 – 384 .
  • Schöberl , J. 1998 . Solving the Signorini problem on the basis of domain decomposition techniques . Computing , 60 ( 4 ) : 323 – 244 .
  • Scholz , R. 1984 . Numerical solution of obstacle problem by penalty method . Computing , 32 : 297 – 306 .
  • Wriggers , P. and Simo , J. C. 1985 . A note on tangent stiffness for fully nonlinear contact problem . Comm. in Appl. Num. Methods , 1 : 199 – 203 .
  • Zavarise , G. and Wriggers , P. 1998 . A segment-to-segment contact strategy . Mathl. Comput. Modelling , 28 ( 4–8 ) : 497 – 515 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.