Instability of frictional contact states in infinite layers

European Journal of Mechanics - A/Solids - Tập 27 - Trang 487-503 - 2008
M.A. Agwa1, A. Pinto da Costa1
1Instituto Superior Técnico, Departamento de Engenharia Civil e Arquitectura and ICIST, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal

Tài liệu tham khảo

Alart, P., Curnier, A., 1987. Contact discret avec frottement : unicité de la solution-convergence de l'algorithme. Technical report, Laboratoire de Mécanique Appliquée, Département de Mécanique, École Polytechnique Fédérale de Lausanne Basseville, 2003, Investigation of the equilibrium states and of their stability for a simple model with unilateral contact and coulomb friction, Arch. Appl. Mech., 73, 409, 10.1007/s00419-003-0300-y Brooke, 1998 Chateau, 1991, Buckling of elastic structures in unilateral contact with or without friction, Eur. J. Mech. A/Solids, 10, 71 Cho, 1998, Dynamic behavior and stability of simple frictional systems, Math. Comput. Modell., 28, 37, 10.1016/S0895-7177(98)00107-1 Cho, 1999, Stability of the three-dimensional Coulomb friction law, Phil. Trans. R. Soc. Lond. A, 455, 839 Cook, 1989 Dirkse, 1995, The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems, Optim. Methods Software, 5, 123, 10.1080/10556789508805606 Hassani, 2001, Analysis of eigenvalue problems modelling friction: Sufficient conditions of non-uniqueness for the elastic equilibrium, 133 Hassani, 2004, Sufficient conditions of non-uniqueness for the Coulomb friction problem, Math. Methods Appl. Sci., 27, 47, 10.1002/mma.438 Hassani, 2003, A mixed finite element method and solution multiplicity for Coulomb frictional contact, Comput. Methods Appl. Mech. Engrg., 192, 4517, 10.1016/S0045-7825(03)00419-5 Hild, 2004, On solution multiplicity in friction problems with normal compliance, J. Math. Anal. Appl., 297, 1, 10.1016/j.jmaa.2004.05.026 Huseyin, 1978 Ionescu, I.R., Hassani, R., 2006. Equilibrium configurations with Coulomb friction. Existence, multiplicity and stability. In: C.A.M.S., et al. (Eds.), Solids, Structures and Coupled Problems in Engineering. Proceedings of the III European Conference on Computational Mechanics, Lisboa Portugal Klarbring, 1988, On discrete and discretized non-linear elastic structures in unilateral contact (stability, uniqueness and variational principles), Int. J. Solids Struct., 24, 459, 10.1016/0020-7683(88)90002-9 Klarbring, 1990, Examples of non-uniqueness and non-existence of solutions to quasistatic contact problems with friction, Ingenieur-Archiv., 56, 529, 10.1007/BF00541909 Martins, 1999, Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction, Comput. Methods Appl. Mech. Engrg., 177, 289, 10.1016/S0045-7825(98)00386-7 Martins, 1994, On an example of non-existence of solution to a quasistatic frictional contact problem, Eur. J. Mech. A/Solids, 13, 113 Martins, 2000, Stability of finite-dimensional nonlinear elastic systems with unilateral contact and friction, Int. J. Solids Structures, 37, 2519, 10.1016/S0020-7683(98)00291-1 Moirot, F., 1998. Étude de la stabilité d'un équilibre en présence de frottement de Coulomb. Phd thesis, École Polytechnique, Paris, France Nguyen, 1993, Bifurcation and stability of time-independent standard dissipative systems, vol. 327, 45 Pinto da Costa, 1999, Contact avec frottement en terme de complementarité : instabilité et non-unicité Pinto da Costa, 2001, A complementarity eigenproblem in the stability analysis of finite dimensional elastic systems with frictional contact, vol. 50, 67 Pinto da Costa, 2003, The evolution and rate problems and the computation of all possible evolutions in quasi-static frictional contact, Comput. Methods Appl. Mech. Engrg., 192, 2791, 10.1016/S0045-7825(03)00256-1 Progri, 1984, Analyse des glissements dans un contact sec, C. R. Acad. Sci. Paris II, 299, 763 Queiroz, 2004, The symmetric eigenvalue complementarity problem, Math. Comput., 73, 1849, 10.1090/S0025-5718-03-01614-4 Renard, Y., 1998. Modélisation des instabilités liées au frottement sec des solides élastiques, aspects théoriques et numériques. Phd thesis, Université Joseph Fourier, Grenoble I, Grenoble, France Strang, 1988 Zeghloul, 1991, Phénomènes de glissements partiels découlant de l'usage de la loi de Coulomb dans un contact non lubrifié, Matériaux et Techniques, 10, 10.1051/mattech/199179120010 Ziegler, 1968