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Quadratic programming and theory of elastic-perfectly plastic structures. (English) Zbl 0181.53704


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[1] G. Maier,A quadratic programming approach for certain nonlinear structural problems, Meccanica, no. 2, 1968. · Zbl 0165.28502
[2] G. Maier,Some theorems for plastic strain rates and plastic strains, Journal de Mécanique, no. 1, 1969. · Zbl 0176.25901
[3] H. P. Künzi andW. Krelle,Nichtlineare Programmierung, Springer Verlag, Berlin, 1962. (Engl. transl.:Nonlinear programming, Blaisdell Pub., Waltham, 1966).
[4] J. C. G. Boot,Quadratic programming, North-Holland Pub., Amsterdam, 1964. · Zbl 0138.15802
[5] L. Collatz andW. Wetterling,Optimierungsaufgaben, Springer Verlag, Berlin, 1966.
[6] G. Hadley,Nonlinear and dynamic programming, Addison-Wesley, Reading, Mass., 1964. · Zbl 0179.24601
[7] L. Contri,Del teorema di Haar e Kármán in presenza di scarichi locali, Giorn. Genio Civ., no. 1, 1960.
[8] K. A. Reckling,Plastizitatstheorie und ihre Anwendung auf Festigkeitprobleme, Springer Verlag, Berlin, 1967. · Zbl 0149.43205
[9] B. Finzi,Principio variazionale nella meccanica dei continui, Atti R. Accad. d’Italia, Cl. Scienze. Fis. Mat. Nat., Serie VII, Vol. I, 1940. · Zbl 0025.27302
[10] G. Maier,A method for approximate solution of stationary creep problems, to appear in Meccanica. · Zbl 0197.23304
[11] H. W. Kuhn andA. W. Tucker,Nonlinear programming, Proc. II Berkeley Symp. on Math. Stat. and Prob., Ed. J. Neymans, Los Angeles, 1951. · Zbl 0044.05903
[12] A. Haar, andT. von Karman,Zur Theorie der Spannungzustande in plastischen und sandartigen Medien, Göttinger Nachrichten, Math. Phys. K., 204, 1909.
[13] W. Prager andP. S. Symonds,Stress analysis in elastic plastic structures, Proc. III Symp. Appl. Math., Ann. Arbor, Michigan, 1949.
[14] V. Franciosi,Sul calcolo a rottura delle strutture monodimensionali in regime elastoplastico, Giorn. Genio Civ., no. 4, 1952.
[15] W. T. Koiter,General theorems for elastic-plastic solids, in Progr. in Solid Mech., Ed. J. N. Sneddon and R. Hill, North-Holland Pub., Amsterdam, 1960. · Zbl 0109.43002
[16] W. Prager, andP. G. Hodge,Theory of perfectly plastic solids, J. Wiley, New York, 1951. · Zbl 0044.39803
[17] G. Colonnetti, Sul problema delle coazioni elastiche, Rendic. Accad. Lincei, Serie 5, 27, 1918. · JFM 46.1209.04
[18] M. Save,Une interprétation du théoreme de Colonnetti, Journ. Appl. Math. Physics, no. 5, 1962. · Zbl 0112.17303
[19] J. B. Dennis,A dual problem for a class of quadratic programs, MIT Research Note, no. 1, 1957.
[20] W. S. Dorn,Duality in quadratic programming, Quart. Appl. Math., no. 2, 1960. · Zbl 0101.37003
[21] M. R. Horne,The stability of elastic plastic structures, in: Progr. in Sol. Mech., Vol. II, North-Holland Publ. Amsterdam, 1961. · Zbl 0102.02201
[22] C. Gavarini,I teoremi fondamentali del calcolo a rottura e la dualità in programmazione lineare, Ingegneria Civile, no. 18, 1966.
[23] D. L. Drucker, W. Prager andH. J. Greenberg,Extended limit design theorems for continuous media, Quart. Appl. Math., no. 4, 1951. · Zbl 0047.43201
[24] H. J. Greenberg,The principle of limiting stress for structures, 2d Symp. on Plasticity, Brown Univ., 1949. · Zbl 0032.22204
[25] S. M. Feinberg,The principle of limiting stress (in Russian), Prik. Mat. i Mekh, no. 12, 1948.
[26] R. K. Livesley,Matrix methods of structural analysis, Pergamon Press, Oxford, 1964. · Zbl 0139.17903
[27] O. C. Zienkiewicz andY. K. Cheung,The finite element method in structural and continuum mechanics, McGraw-Hill, London, 1967. · Zbl 0189.24902
[28] G. Maier,Contributi per una teoria delle strutture elastoplastiche con impostazione ”alla Colonnetti”, to appear.
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