Discontinuities and Plasticity

作者: P. M. Suquet

DOI: 10.1007/978-3-7091-2624-0_5

关键词: Classification of discontinuitiesMathematical analysisPlasticityPhysicsLimit loadVariational inequalityLine (geometry)

摘要: The guide line of these lectures is that Plasticity and spatial discontinuities are two companion phenomena:

参考文章(36)
P-M. Suquet, Existence and Regularity of Solutions for Plasticity Problems Variational Methods in the Mechanics of Solids#R##N#Proceedings of the IUTAM Symposium on Variational Methods in the Mechanics of Solids Held at Northwestern University, Evanston, Illinois, U.S.A., 11–13 September 1978. pp. 304- 309 ,(1980) , 10.1016/B978-0-08-024728-1.50053-7
Piotr Perzyna, Fundamental Problems in Viscoplasticity Advances in Applied Mechanics. ,vol. 9, pp. 243- 377 ,(1966) , 10.1016/S0065-2156(08)70009-7
Gilbert Strang, A family of model problems in plasticity Springer, Berlin, Heidelberg. pp. 292- 305 ,(1979) , 10.1007/BFB0063627
Jean Jacques Moreau, Evolution problem associated with a moving convex set in a Hilbert space Journal of Differential Equations. ,vol. 26, pp. 347- 374 ,(1977) , 10.1016/0022-0396(77)90085-7
Melvyn S. Berger, G. Duvaut, J. L. Lions, Les inéquations en mécanique et en physique Mathematics of Computation. ,vol. 27, pp. 440- ,(1973) , 10.2307/2005636
Pierre M. Suquet, Un espace fonctionnel pour les équations de la plasticité Annales de la faculté des sciences de Toulouse Mathématiques. ,vol. 1, pp. 77- 87 ,(1979) , 10.5802/AFST.531
Guiseppe Buttazzo, Gianni Dal Maso, γ-limits of integral functionals Journal d’Analyse Mathématique. ,vol. 37, pp. 145- 185 ,(1980) , 10.1007/BF02797684