Résumé
On suppose qu’il existe une frontière des déformations viscoplastiques définie par
où σ — tenseur contrainte, α — famille de paramètres cachés et observables caractèrisant l’état interne du matériau (ou l’écrouissage).
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References
Jeffery G.B. Plane stress and plane strain in bipolar co-ordinates, Phil.Trans.Royal Soc., série A, 1921.
Mindlin D. Stress distribution around a tunel. American Society of Civil Engineers, avril 1939.
Mandel J. et al. Etude des cavités souterraines. Rapport CEA, R-4426, Saclay, 1973.
Mandel J. Introduction à la Mécanique des Milieux Continus Déformables,PWN, Varsovie, 1974.
Nowacki W.K. Les problèmes de propagation des ondes en plasticité, (en polonais), PWN, Varsovie, 1974.
Verner E.A. Becker E.B. Finite element stress formation for wave propagation, Int. Journ. for Numerical Math. in Engineering,7, 1973.
Lions J.L. Cours d’analyse numérique, Ecole Polytechnique, Paris, 1973.
Frelat J. Nguyen Q.S. Zarka J. Some remarks about classical problem in plasticity and viscoplasticity. Application to their numerical resolution, Lectured presented at the University of Wales Swansea, May, 1974.
Perzyna P. The constitutive equations for rate sensitive plastic materials, Quart.Appl.Math., 20, 1963.
Treanor Ch.E. A method for the numerical integration of coupled first-order differential equations with greatly different time constants, Math.Comp., 20, 1966.
Butler D.S. The numerical solution of hyperbolic systems of partial differential equations in three independent variables, Proc. Royal Society, London,A 255, 1962.
Burnat A, Kielbasinski A. and Wakulicz A., The method of characteristics for a multidimensional gas flow, Arch.Mech.Stos., 3, 1964.
Zív M.,Two-spatial dimensional elastic Wave propagation by the theory of characteristics, Int.Journ. of Solids and Structures,5,1969.
Bejda J.,Propagation of two-dimensional stress waves in elasticviscoplastic material, Proc. 12th International Congress of Appl. Mechanics, Ed. Heteney M., Springer, 1969.
Recker W.W., A numerical solution of three-dimensional problems in dynamic elasticity, Journ.of Appl.Mech.,March,1970.
Zarka J. Frelat.J,Application de l’algorithme de Treanor pour les problèmes en viscoplasticité, Colloque: Méthodes Numériques en Calcul Scientifique et Technique, Paris, Novembre 1974.
Nowacki W.K., Stress waves in Non-elastic Solids, Pergamon Press, (a paraître ), Oxford, 1976.
Mandel J., Notions générales sur les ondes de discontinuité, dans le même livre.
Nguyen Q.S., J.Zarka, Quelques méthodes de résolution numérique en plasticité classique et en viscoplasticité, Séminaire: Plasticité et viscoplasticité, 1972, dans Sciences et Techniques de l’Armement, 2, 47, 1973.
Courant R. Hilbert D., Partial Differential Equations, New York, 1962.
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Nowacki, W.K. (1975). Ondes Dans les Milieux Viscoplastiques Quelques Methodes de Solutions Numeriques. In: Mandel, J., Brun, L. (eds) Mechanical Waves in Solids. International Centre for Mechanical Sciences, vol 222. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2728-5_4
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