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Volumn 4, Issue 1, 2009, Pages 147-162

Weak formulations and solution multiplicity of equilibrium configurations with coulomb friction

Author keywords

continuum of solutions; Coulomb friction; equilibrium configurations; linear elasticity; weak formulations

Indexed keywords

CONTINUUM OF SOLUTIONS; COULOMB FRICTIONS; EQUILIBRIUM CONFIGURATIONS; LINEAR ELASTICITY; WEAK FORMULATION;

EID: 77953959963     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20094107     Document Type: Article
Times cited : (3)

References (21)
  • 1
    • 0034262382 scopus 로고    scopus 로고
    • Existence results for quasistatic contact problems with Coulomb friction
    • DOI 10.1007/s002450010009
    • L.-E. Andersson. Existence results for quasistatic contact problems with Coulomb friction, Appl. Math. Optim., 42 (2000), 169-202. (Pubitemid 32067941)
    • (2000) Applied Mathematics and Optimization , vol.42 , Issue.2 , pp. 169-202
    • Andersson, L.-E.1
  • 2
    • 21244463178 scopus 로고    scopus 로고
    • Non-uniqueness, eigenvalue solutions and wedged configurations involving Coulomb friction
    • Long Beach California, USA, 24-27 October 2004, Part A
    • J.R. Barber, P. Hild. Non-uniqueness, eigenvalue solutions and wedged configurations involving Coulomb friction, Proceedings of the IJTC 2004, ASME/STLE International Joint Tribology Conference, Long Beach California, USA, 24-27 October 2004, Part A, 127-132.
    • Proceedings of the IJTC 2004, ASME/STLE International Joint Tribology Conference , pp. 127-132
    • Barber, J.R.1    Hild, P.2
  • 3
    • 3242828407 scopus 로고    scopus 로고
    • Existence results for the static contact problem with Coulomb friction
    • C. Eck, J. Jarušek. Existence results for the static contact problem with Coulomb friction, Math. Models Meth. Appl. Sci., 8 (1998), 445-468.
    • (1998) Math. Models Meth. Appl. Sci. , vol.8 , pp. 445-468
    • Eck, C.1    Jarušek, J.2
  • 4
    • 34147130932 scopus 로고    scopus 로고
    • Unilateral contact problems: Variational methods and existence theorems
    • CRC Press
    • C. Eck, J. Jarušek, M. Krbec. Unilateral contact problems: variational methods and existence theorems, Pure and Applied Mathematics 270, CRC Press, 2005.
    • (2005) Pure and Applied Mathematics , vol.270
    • Eck, C.1    Jarušek, J.2    Krbec, M.3
  • 6
    • 0037569059 scopus 로고    scopus 로고
    • Numerical methods for unilateral problems in solid mechanics
    • eds. P.G. Ciarlet and J. L. Lions, North Holland
    • J. Haslinger, I. Hlaváček, J. Nečas. Numerical methods for unilateral problems in solid mechanics, in Handbook of Numerical Analysis, Volume IV, Part 2, eds. P.G. Ciarlet and J. L. Lions, North Holland, 1996, pp. 313-485.
    • (1996) Handbook of Numerical Analysis , vol.4 , Issue.PART 2 , pp. 313-485
    • Haslinger, J.1    Hlaváček, I.2    Nečas, J.3
  • 8
    • 33947685494 scopus 로고    scopus 로고
    • Unstable perturbation of the equilibrium under Coulomb friction: Nonlinear eigenvalue analysis
    • DOI 10.1016/j.cma.2006.11.020, PII S0045782507000485
    • R. Hassani, I. Ionescu, N.-D. Sakki. Unstable perturbation of the equilibrium under Coulomb friction. Nonlinear eigenvalue analysis, Comput. Methods Appl. Mech. Engrg., 196 (2007), 2377-2389. (Pubitemid 46488633)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.21-24 , pp. 2377-2389
    • Hassani, R.1    Ionescu, I.R.2    Sakki, N.-D.3
  • 9
    • 3142777170 scopus 로고    scopus 로고
    • Non-unique slipping in the Coulomb friction model in two-dimensional linear elasticity
    • P. Hild. Non-unique slipping in the Coulomb friction model in two-dimensional linear elasticity, Q. Jl. Mech. Appl. Math., 57 (2004), 225-235.
    • (2004) Q. Jl. Mech. Appl. Math. , vol.57 , pp. 225-235
    • Hild, P.1
  • 10
    • 24944540239 scopus 로고    scopus 로고
    • Multiple solutions of stick and separation type in the Signorini model with Coulomb friction
    • DOI 10.1002/zamm.200310205
    • P. Hild. Multiple solutions of stick and separation type in the Signorini model with Coulomb friction, Z. Angew. Math. Mech., 85 (2005), 673-680. (Pubitemid 41327923)
    • (2005) ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik , vol.85 , Issue.9 , pp. 673-680
    • Hild, P.1
  • 12
    • 33747342801 scopus 로고
    • On friction problems with normal compliance
    • A. Klarbring, A. Mikelíc, M. Shillor. On friction problems with normal compliance, Nonlinear Anal., 13 (1989), 935-955.
    • (1989) Nonlinear Anal. , vol.13 , pp. 935-955
    • Klarbring, A.1    Mikelíc, A.2    Shillor, M.3
  • 13
    • 0023315395 scopus 로고
    • Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
    • DOI 10.1016/0362-546X(87)90055-1
    • J.A.C. Martins, J.T. Oden. Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws, Nonlinear Anal., 11 (1987), 407-428. (Pubitemid 17605840)
    • (1987) Nonlinear Analysis, Theory, Methods and Applications , vol.11 , Issue.3 , pp. 407-428
    • Martins, J.A.C.1    Oden, J.T.2
  • 15
    • 24544475506 scopus 로고    scopus 로고
    • Sur la formulation variationnelle du problème de Signorini avec frottement de Coulomb
    • C. Naéjus, A. Cimetière. Sur la formulation variationnelle du problème de Signorini avec frottement de Coulomb, C. R. Acad. Sci. Sér. I Math., 323 (1996), 307-312.
    • (1996) C. R. Acad. Sci. Sér. i Math. , vol.323 , pp. 307-312
    • Naéjus, C.1    Cimetière, A.2
  • 16
    • 0000328269 scopus 로고
    • On the solution of the variational inequality to the Signorini problem with small friction
    • J. Nečas, J. Jarušek, J. Haslinger. On the solution of the variational inequality to the Signorini problem with small friction, Bolletino U.M.I., 17 (1980), No. 5, 796-811.
    • (1980) Bolletino U.M.I. , vol.17 , Issue.5 , pp. 796-811
    • Nečas, J.1    Jarušek, J.2    Haslinger, J.3
  • 17
    • 0001246936 scopus 로고
    • Models and computational methods for dynamic friction phenomena
    • J.T. Oden, J.A.C. Martins. Models and computational methods for dynamic friction phenomena, Comput. Methods. Appl. Mech. Engrg., 52 (1985), 527-634.
    • (1985) Comput. Methods. Appl. Mech. Engrg. , vol.52 , pp. 527-634
    • Oden, J.T.1    Martins, J.A.C.2
  • 18
    • 33947241227 scopus 로고    scopus 로고
    • A uniqueness criterion for the Signorini problem with Coulomb friction
    • Y. Renard. A uniqueness criterion for the Signorini problem with Coulomb friction, SIAM J. Math. Anal., 38 (2006), 458-467.
    • (2006) SIAM J. Math. Anal. , vol.38 , pp. 458-467
    • Renard, Y.1
  • 19
    • 0035400656 scopus 로고    scopus 로고
    • Existence and approximation of a solution to quasistatic Signorini problem with local friction
    • DOI 10.1016/S0020-7225(00)00089-6, PII S0020722500000896
    • R. Rocca, M. Cocu. Existence and approximation of a solution to quasistatic Signorini problem with local friction, Int. J. Engrg. Sci., 39 (2001), 1233-1255. (Pubitemid 32421478)
    • (2001) International Journal of Engineering Science , vol.39 , Issue.11 , pp. 1233-1255
    • Rocca, R.1    Cocu, M.2
  • 20
    • 0003285311 scopus 로고    scopus 로고
    • Recent advances in contact mechanics
    • M. Shillor (Ed.) Recent advances in contact mechanics, Mathl. Comput. Modelling, 28 (1998), No. 4-8, 1-534.
    • (1998) Mathl. Comput. Modelling , vol.28 , Issue.4-8 , pp. 1-534
    • Shillor, M.1


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