@article{M2AN_1993__27_4_421_0, author = {Telega, J. J.}, title = {Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {27}, year = {1993}, pages = {421-456}, mrnumber = {1230829}, zbl = {0773.73007}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1993__27_4_421_0} }
Telega, J. J. Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 27 (1993) pp. 421-456. http://gdmltest.u-ga.fr/item/M2AN_1993__27_4_421_0/
[1] Homogenization and effective properties of plates weakened by partially penetrating fissures : asymptotic analysis, Int. J. Eng. Sci., 9, 1991, pp. 1129-1155. | MR 1124050 | Zbl 0759.73004
, ,[2] Homogenization of fissured elastic solids in the presence of unilateral conditions and friction, Comp. mech., 6, 1990, pp. 109-127. | Zbl 0723.73010
,[3] Variational Convergence for Functions and Operators, Pitman, London, 1984. | MR 773850 | Zbl 0561.49012
,[4] Variational methods and convex analysis in contact problems and homogenization, IFTR Reports No. 38/90, Warsaw 1990, in Polish.
,[5] Variational properties of epi-convergence. Applications of limit analysis problems in mechanics and duality theory, in : Multifunctions and Integrands, ed. by G. Salinetti, Lecture Notes in Mathematics, Vol.1091, 1984, pp. 80-104, Springer-Verlag, Berlin. | MR 785577
,[6] Epi-convergence and duality. Convergence of sequence ofmarginal and Lagrangian functions. Applications to homogenization problemsin mechanics, Publications AVAMAC, Université de Perpignan, No. 84-11, 1984. | Zbl 0588.49015
,[7] Semicontinuity, Relaxation and Integral Representation Problems in the Calculus of Variations, Pitman, London, 1988. | Zbl 0669.49005
,[8] Calcul des variations en cadre non réflexif. Représentation et relaxation de fonctionnelles intégrales sur un espace de mesures. Application enplasticité et homogénéisation, Thèse d'Etat, Université de Perpignan, 1987.
,[9] Г-convergenza e G-convergenza per problemi di tipo ellitico, Boll. Un. Mat. Ital.,13-A, 1976, pp. 352-362. | MR 487703 | Zbl 0345.49004
, ,[10] Approximation et Optimisation, Herrmann, Paris, 1972. | MR 467080 | Zbl 0238.90058
,[11] Convergence of convex-concave saddle functions : continuity properties of the Legendre-Fenchel transform with applications to convex programming and mechanics, Publications AVAMAC, Université de Perpignan, No. 85-08, 1985.
, , ,[12] Epi-convergence et dualité. Application à la convergence des variables primales et duales pour des suites de problèmes d'optimisation convexe, Publications AVAMAC, Université de Perpignan, No. 84-12, 1984.
,[13] Convergence des variables duales dans des problèmes de transmission à travers des couches minces par des méthodes d'épi-convergence, Ric. di Mat., 35, 1986, pp. 125-159. | MR 889865 | Zbl 0611.49006
,[14] Convex Analysis and Variational Problems, North Holland, Amsterdam, 1976. | MR 463994 | Zbl 0322.90046
, ,[15] Charges limites, plasticité et homogénéisation : le cas d'un bord chargé, C. R. Acad. Sci. Paris, Série I, 305, 1987, pp. 441-444. | MR 916348 | Zbl 0658.73021
, ,[16] Perfectly plastic plates loaded by boundary bending moments : relaxations and homogenization, Arch. Mech., 43, 1991, pp. 711-737. | MR 1174594 | Zbl 0756.73010
,[17] Homogenization of fissured elastic materials, Publications AVAMAC, Université de Perpignan, No. 85-03, 1985.
, ,[18] Cours sur les méthodes variationnelles et la dualité, in : Duality and Complementarity in Mechanics of Solids, éd. by A. Borkowski, 1979, pp. 173-272, Ossolineum, Wroclaw. | MR 560095
,[19] Non-Homogeneous Media and Vibration Theory, Springer-Verlag, Berlin, 1980. | Zbl 0432.70002
,[20] Homogenization of fissured Reissner-like plates, Part II: Convergence, Arch. Mech., 40, 1988, pp. 119-134. | MR 1002823 | Zbl 0702.73005
, ,[21] Convex Analysis, Princeton University Press, Princeton, 1970. | MR 274683 | Zbl 0193.18401
,