Építés - Építészettudomány
Volume/Issue:
Volume 37: Issue 1-2
A Saint-Venant-elv matematikai hátterének bemutatása
Authors:
Viktória Vass BME Építőmérnöki Kar Budapest

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and
Imre Bojtár BME Tartószerkezetek Mechanikája Tanszék Budapest

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Pages:
41–77
Online Publication Date:
11 Jun 2009
Publication Date:
01 Mar 2009
Article Category:
Research Article
DOI:
https://doi.org/10.1556/eptud.37.2009.1-2.2
Keywords:
életrajz; tudományos tevékenység; Saint-Venant-elv; matematikai alapelvek; biography; Saint-Venant principle; mathematical principles
Restricted access

Cikkünk a nagy francia tudós, Saint-Venant életével, és a nevéhez fűzödő elv matematikai elemzésének – közel másfél száz évet átfogó – történetével foglalkozik. Bemutatja azokat a legfontosabb megállapításokat, amelyekkel a kutatók kiegészítették-pontosították az elvet, példákat mutat be az elv esetleges korlátaira, majd kitér azokra fontosabb kutatásokra, amelyek mostanában folynak az elv különleges mechanikai feladatokon történő alkalmazási lehetőségeinek vizsgálatára.

  • Batra, R. C.: Saint-Venant’s principle for a micropolar helical body, Acta Mechanica, No. 42, pp. 99-109., 1982.

  • Batra, R. C., Yang, J. S.: Saint-Venant’s principle for Linear Elastic Porous Materials, Journal of Elasticity, pp. 265-271., 1995.

  • Batra, R. C., Yang, J. S.: Saint-Venant’s principle in linear piezoelectricity, Journal of Elasticity, No. 38., pp. 209-218., 1995.

  • Berglund, K.: Generalization of Saint-Venant’s principle to micropolar continua, Arch. Rat’l Mechanics Anal., No. 64., pp. 317-326., 1977.

  • Ericksen, J. L.: Uniformity in shells, Arch. Rat’l Mechanics Anal., No. 37., pp. 73-84., 1970.

  • Gregory, R. D., Wan, F. Y. M.: Decaying states of plane strain in a semi-infinte strip and boundary conditions for plate theory, Journal of Elasticity, Vol. 14, pp. 27-64., 1984.

  • Gregory, R. D., Wan, F. Y. M.: On plate theories and Saint-Venant’s principle, Int. J. of Solids Structures, Vol. 21. No. 10., pp. 1005-1024., 1985.

  • Horgan, C. O.: On Saint-Venant’s priciple in plane anisotropic elasticity, Jounal of Elasticity, Vol. 2., No. 3., pp. 169-180., 1972.

  • Kaliszky, S., Kurutzné Kovács, M., Szilágyi, Gy.: Szilárdságtan, Nemzeti Tankönyvkiadó, pp. 71-73., 2006.

  • Knowles, J. K.: On Saint-Venant’s principle in two-dimensional linear theory of elasticity, Archive for Rational Mechanics and Analysis 21, pp. 1-22., 1966.

  • Lehnyickij, S. G.: Theory of elasticity of an anisotropic elastic body, Holden-Day, San-Francisco, 1962.

  • Locatelli, P.: Estenzione del principio di St. Venant a corpi non perfettamente elastici, Atti. Accad. Sci Torino, pp. 75-76., 1940.

  • Love, A. E. H.: A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, 1892.

  • Sternberg, E.: On Saint-Venant’s principle, Q. Appl. Math., No. 11., pp. 393-402., 1950.

  • Timoshenko, S. P.: History of Strength of Materials, McGraw-Hill, 1953.

  • Todhunter, I., Pearson, K.: A History of the Elasticity and of the Strength of Materials from Galilei to Present Time, Cambridge University Press, Vol. I-II., 1886.

  • Toupin, R. A.: Saint-Venant’s principle, Arch. Rat’l Mechanics Anal., No. 18., pp. 83-96., 1965.

  • von Mises, R.: On Saint Venant’s principle, Bull. Amer. Math. Soc., No. 51., pp. 555-563., 1945.

  • Zanaboni, O.: Dimostrazione generale del principio del de Saint-Venant, Atti. Accad. Lincei, Roma, Vol. 25., pp. 117., 1937.

  • Zanaboni, O.: Valutazione dell’erore massimo cui dá luogo l’applicizione del principio del Saint-Venant, Atti. Accad. Naz. dei Lincei, Rendiconti, Vol. 25., pp. 595, 1937.

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Print ISSN:
0013-9661
Online ISSN:
1588-2764

Senior editors

Editor(s)-in-Chief: Sajtos, István, Budapest University of Technology and Economics, Budapest, Hungary

Editor(s): Krähling, János, Budapest University of Technology and Economics, Budapest, Hungary

Co-ordinating Editor(s): Gyetvainé Balogh, Ágnes, Budapest University of Technology and Economics, Budapest, Hungary

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Építés - Építészettudomány
Language English
Hungarian
Size B5
Year of
Foundation		 1957
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
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Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
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ISSN 0013-9661 (Print)
ISSN 1588-2764 (Online)

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