Applications de la programmation mathématique à l'analyse limite des structures
Revue française d'automatique, informatique, recherche opérationnelle. Recherche opérationnelle, Tome 7 (1973) no. V3, pp. 55-68. 
@article{RO_1973__7_3_55_0,
     author = {Gavarini, Carlo},
     title = {Applications de la programmation math\'ematique \`a l'analyse limite des structures},
     journal = {Revue fran\c{c}aise d'automatique, informatique, recherche op\'erationnelle. Recherche op\'erationnelle},
     pages = {55--68},
     publisher = {EDP-Sciences},
     volume = {7},
     number = {V3},
     year = {1973},
     zbl = {0267.90097},
     language = {fr},
     url = {http://www.numdam.org/item/RO_1973__7_3_55_0/}
}
TY  - JOUR
AU  - Gavarini, Carlo
TI  - Applications de la programmation mathématique à l'analyse limite des structures
JO  - Revue française d'automatique, informatique, recherche opérationnelle. Recherche opérationnelle
PY  - 1973
SP  - 55
EP  - 68
VL  - 7
IS  - V3
PB  - EDP-Sciences
UR  - http://www.numdam.org/item/RO_1973__7_3_55_0/
LA  - fr
ID  - RO_1973__7_3_55_0
ER  - 
%0 Journal Article
%A Gavarini, Carlo
%T Applications de la programmation mathématique à l'analyse limite des structures
%J Revue française d'automatique, informatique, recherche opérationnelle. Recherche opérationnelle
%D 1973
%P 55-68
%V 7
%N V3
%I EDP-Sciences
%U http://www.numdam.org/item/RO_1973__7_3_55_0/
%G fr
%F RO_1973__7_3_55_0
Gavarini, Carlo. Applications de la programmation mathématique à l'analyse limite des structures. Revue française d'automatique, informatique, recherche opérationnelle. Recherche opérationnelle, Tome 7 (1973) no. V3, pp. 55-68. http://www.numdam.org/item/RO_1973__7_3_55_0/

[1] A. Charnes-Greenberg, Plastic collapse and linear programming. Preliminary Report. Bulletin of the American Math. Soc, nov. 1951.

[2] W. S. Dorn-Greenberg, Linear programming and plastic limit analysis of structures, An. Appl. Math., vol. 15, 1957. | MR | Zbl

[3] A. Charnes-Lemke-Zienkiewicz, Virtual work, linear programming and plastic limit analysis, Proceeding of the royal Society, Series A, Math, and Phys. Sciences, May 1959. | Zbl

[4] G. B. Dantzig, Maximization of a linear function of variables subject to linear inequalities, Chap. 21, in : Activity analysis of production and allocation, NewYork, 1951. | MR | Zbl

[5] Prager, Lineare Ungleichungen in der Baustatik, , Schweizerische Bauzeitung 10 mai 1962.

[6] Tocher-Popov, Plastic analysis of rigid frames by modified linear programming, Symposium on the use of computers in Civ. Eng., Lisbon, 1962.

[7] Massonnet-Maus, Force portante plastique des systèmes de pieux, Symposium on the use of Computers in Civ. Eng., Lisbon, 1962.

[8] Wolfensberger-Thurlimann, Untere Grenzwerte des Traglast von Platten, Bulletin C.E.B., n° 43, set. 1964,

[9] Ceradini, C. Gavarini, Calcolo a rottura e programmazione lineare, Giornale del Genio Civile, n° 1-2, 1965.

[10] Koopman-Lance, On linear programming and plastic limit analysis, J. Mech Phys. Solids, March 1965.

[11] Ceradini, C. Gavarini, Some applications of linear programming to plastic analysis of structures, Int. Symp. the use of El. Dig. Comp. in St. Eng. Newcastle, July 1966.

[12] C. Gavarini, Fundamental plastic analysis theorems and duality in linear programming, Ingegneria Civile, n° 18, 1966.

[13] C. Gavarini, Plastic analysis of structures and duality in linear programming, Meccanica, n° 3/4, 1966.

[14] Lance, Duality in the finite difference method of plastic limit analysis, Report NSF GK 687/2, april 1967.

[15] Ceradini et C. Gavarini, Calcolo a rottura e programmazione lineare Continui bi e tridimensionali, Note I et II Giornale del Genio Civile, n° 2/3/4, 1968.

[16] C. Gavarini, Calcolo a rottura e programmazione non lineare, Ist Lombardo (Rend. Sc.), A 102, 1968. | Zbl

[17] Ceradini, Un principio di massimo per il calcolo dei sisterni elasto-plastici, Ist.Lombardo (Rend. Sc), 1965. A maximum principle for the analysis of elastic plastic Systems, Meccanica, n° 3/4, 1966. | Zbl

[18] Ceradini, Sul calcolo delle strutture elastoplastiche, Nota I e Nota II, Costruzioni Metalliche, n° 3 e 5, 1965.

[19] Maier, A quadratic programming approach for certain classes of non linear structural problems, Meccanica, n° 2, 1968. | Zbl

[20] Maier, Quadratic programming and theory of elastic-perfectly plastic structures, Meccanica, n° 4, 1968. | Zbl

[21] Hodge, Numerical applications of minimum principles in plasticity, Engineering Plasticity, Cambridge Un. Press, 1968. | Zbl

[22] Maier, Some theorems for plastic strain rates and plastic strains, Journal de Mécanique, n° 1, 1969, | Zbl

[23] Capurso, A general method for the incremental solution of elastic-plastic problems, Meccanica, n° 4, 1969. | Zbl

[24] Carpuso-Maier, Incremental elastoplastic analysis and quadratic optimization, Meccanica, n° 2, 1970. | Zbl

[25] Palmer, Optimal structure design by dynamic programming, Proc. ASCE, St 8, 1968.

[26] Toakley, Optimum design using available sections, Proc. ASCE, St 5, 1967.

[27] C. Gavarini-Veneziano, On the safety domain of structures, 1° Convegno Nazionale di Meccanica Teorica ed Applicata, AIMETA, Udine, guigno 1971.

[28] C. Gavarini, Concezione probabilistica del calcolo a rottura, Giornale del Genio Civile, agosto 1969.

[29] C. Gavarini-Veneziano, Calcolo a rottura e programmazione stocastica. Giornale del Genio Civile, aprile 1970.

[30] C. Gavarini-Veneziano, Sulla teoria probabilistica degli stati limite delle strutture, Giornale del Genio Civile, n° 11/12, 1970.

[31] Veneziano, Calcolo a rottura probabilistico con piu parametri casuali, Giornale del Genio Civile, n° 2, 1971.

[32] C. Gavarini-Veneziano, Minimum weight limit design under uncertainty, Meccanica, n° 2, 1972.

[33] Hodge-Belytschko, Numerical methods for the limit analysis of plates, J. Appl. Mech., dec. 1968. | Zbl

[34] G. P. Mccormick, W. G. Mylander et A. V. Fiacco, Computer program implementing the sequential unconstrained minimization technique for non linear programming, Tech. paper RAC-TP. 151, Research Analysis, McLean, Va, 1965.

[35] Casciaro-Di Carlo, Formulazione dell' analisi limite delle piastre come problema di minimax mediante una rappresentazione agli elementi finiti del campo delle tensioni, Giornale del Genio Civile, n° 2, 1970.

[36] Casciaro-Di Carlo, Formulazione dell' analisi limite delle piastre corne problema di minimax, Giornale del Genio Civile, n° 5, 1971.

[37] B. Bereanu, On stochastic linear programming, Distribution problems, Non stochastic technological matrix, Rev. Roumaine Math, pures et appl., tome XI, n° 6, 1966. | Zbl

[38] S. Vajda, Probabilistic programming, Academic Press, 1972. | MR