Abstract
The aim of this contribution is to study shakedown of structures when contact conditions are imposed on a part of the boundary. Three cases have been investigated: 1. Signorini’s conditions without friction, 2. Friction with prescribed distribution of normal stress, and 3. Signiorini’s conditions with friction.
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References
1970 Rockafellar, R.T., Convex Analysis, Princeton University Press, Princeton.
1972 Telega, J.J., Perfectly plastic media acted upon by multi-parameter loads, Eng. Transactions, 20, 241, in Polish.
1976 DÉBORDES, O., NAYROLES, B., Sur la théorie et le calcul à l'adaptation des structures élastoplastiques, J. de Méc, 15, 1.
1977 Mercier, B., Sur la théorie et l'analyse numérique des problèmes de plasticité, Thèse, Université Pierre et Marie Curie, Paris 6.
1980 WESFREID, E., Étude du comportement asymptotique pour quelques modèles de viscoplasticité, Thèse de 3-ème cycle, Université Pierre et Marie Curie, Paris 6.
1981 Rydholm, G., On inequalities and shakedown in contact problems, Linköping Studies in Science and Technology, Dissertations No 61, Linköping.
1985 Johnson, K.L., Contact Mechanics, CUP, Cambridge.
1985 Telega, J.J., Limit analysis theorems in the case of Signorini's boundary conditions and friction, Arch. Mech., 37, 549.
1985 Temam, R., Mathematical Problems in Plasticity, Gauthier — Villars, Paris, Trans--Inter-Scientia, Tonbridge.
1987 Halphen, B., SalenÇOn, J., Élastoplasticité, Presses de 1' École Nationale des Ponts et Chaussées, Paris.
1987 KÖnig, J.A., Shakedown of Elastic-Plastic Structures, PWN-Elsevier, Warszawa-Amsterdam.
1987 Telega, J.J., Variational methods in contact problems of mechanics, Uspekhi Mekhaniki (Adv. in Mech.), 10, 3, in Russian.
1988 BouchittÉ, G., Valadier, M., Integral representation of convex functionals on a space of measures, J. Funct. Analysis, 80, 398.
1988 Felder, E., Étude; expérimentale de l'anisotropie de frottement de tôles d'acier doux, J. de Méc. théorique et appl., 7, 479.
1988 Suquet, P.M., Discontinuities and plasticity in: Nonsmooth Mechanics and Applications, éd. by J.J. Moreau and P.D. Panagiotopoulos, Springer — Verlag, Wien — New York, p. 278.
1988 Telega, J.J., Topics on unilateral contact problems of elasticity and inelasticity, in: Nonsmooth Mechanics and Applications, ed. by J.J. Moreau and P.D. Panagiotopoulos, Springer — Verlag, Wien — New York, p. 341.
1989 Zmitrowicz, A., On the thermodynamics of contact friction and wear, ZN Instytutu Maszyn Przepływowych PAN, Studia i Materiały, 287/12/89, Gdańsk.
1990 Kadijk, S.E., BROESSE VAN GROENOU, A, Wear anisotropy of MnZn ferrite. Part I: Recorder and sphere-on-tape experiments, Wear, 139, 93; Part II: Sliding sphere experiments ibid., p. 115; Part III: A wear model, ibid., p. 133.
1990 Reddy, B.D., Tomarelli, F., The obstacle problem for an elastoplastic body, Appl. Math. Optim., 21, 89.
1990 Telega, J.J., Variational methods and convex analysis in contact problems and homogenization, IFTR Reports 38/90, Warszawa, in Polish.
1990 Weichert, D., Advances in the geometrically nonlinear shakedown theory, In: Inelastic Solids and Structures, ed. by M. Kleiber and J.A. König, Pineridge Press, Swansea, p. 489.
1991 Arikan, R, Murphy, S., Anisotropic wear of planar-random metal matrix composites with zinc alloy matrix, Wear, 143, 149.
1991 Comi, C., Corigliano, A., Dynamic shakedown in elastoplastic structures with general internal variable constitutive laws, Int. J. Plasticity, 7, 679.
1991 Nayeb-Hashemi, H., Blucher, J.T., Mirageas, J., Friction and wear behavior of aluminium graphite composites as a function of interface and fiber direction, Wear, 150, 21.
1992 Johnson, K.L., Shercliff, H.R., Shakedown of 2-dimensional asperities in sliding contact, Int. J. Mech. Sci. 34, 375.
1992 Nordgren, R.P., Limit analysis of a stochastically inhomogenenous plastic medium with application to plane contact problems, J. Appl. Mech. 59, 477.
1993 Nayroles, B., Weichert, D., La notion de sanctuaire d' élasticité et d'adaptation des structures, C.R. Acad. Sci. Paris, Série II, 316, 1493.
1993 Polizzotto, C., On the conditions to prevent plastic shakedown of structures: Part I-Theory, J.Appl. Mech., 60, 15; Part II — The plastic shakedown limit load, ibid., p. 20.
1994 He, Q.-C, Curnier, A., Anisotropic dry friction between two orthotropic surfaces undergoing large displacements, Eur. J. Mechanics, in print.
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Telega, J.J. (1995). On Shakedown Theorems in the Presence of Signorini Conditions and Friction. In: Mróz, Z., Weichert, D., Dorosz, S. (eds) Inelastic Behaviour of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0271-1_10
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DOI: https://doi.org/10.1007/978-94-011-0271-1_10
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