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- W2013902400 abstract "An infinite, elastic, circular, hollow cylinder with the radial displacement prescribed over a finite band on its outside surface and traction-free over the rest of the surface is formulated in terms of dual integral equations for the unknown radial stress at the outside boundary. Solutions by the Wiener-Hopf method and the series method are compared. Various stress and displacement components inside the cylinder are investigated. Four patterns of given displacements are used to reveal certain characteristics of the stress discontinuities of the mixed boundary-value problem. Etant donné un cylindre élastique creux, portant sur sa surface extérieure la déformation prescrite le long d'une bande finie et libre de toute autre contrainte de traction, l'auteur exprime la contrainte radiale inconnue, à la limite extérieure, par des équations intégrales dual. Il fait une comparaison avec la méthode de Wiener-Hopf et la méthode par les séries et il étudie différentes contraintes et composantes de déformation à l'intérieur du cylindre. L'auteur s'est servi de quatre modèles de déplacements donnés pour faire apparaîter certaines caractéristiques des discontinuités de contraintes dans le problème des valeurs aux limites. Ein unendlicher elastischer Hohlzylinder kreisförmigen Querschnitts mit vorgeschriebener radialer Verdrängung auf einer endlichen Fläche auf der Aussenseite und mechanisch belastungsfrei auf dem Rest der Oberfläche wird in Doppelintegralgleichungen für die unbekannte radiale Verformungskraft an der Aussenfläche erfasst. Lösungen nach der Wiener-Hopf-Methode und der Serienmethode werden miteinander verglichen. Verschiedene Kraft- und Verdrängungskomponenten im Innern des Zylinders werden untersucht. Vier Schemata gegebener Verdrängungen werden benutzt, um bestimmte Charakteristika der Kraftdiskontinuitäten des gemischten Grenzwertproblems zu zeigen. Si formula un cilindro cavo, circolare, elastico ed infinito, con lo spostamento radiale prescritto lungo una banda finita sulla superficie esterna e libero da trazione sulla superficie rimanente, in termini di equazioni integrali duali per la sollecitazione radiale incognita sul limite esterno. Si confrontano soluzioni ottenute con i metodi Wiener-Hopf e di serie. Si studiano varie sollecitazioni e componenti di spostamento all'interno del cilindro. Si adottano quattro tipi di dati spostamenti per rivelare certe caratteristische delle discontinuità delle sollecitazioni del problema limite-valore. зaдaчa кacaющaяcя бecкoнeчнoгo, yпpyгoгo кpyгoвoгo и пoлoгo пилиндpa c зaдaнными paдиaльнымн пepeмeщeннями пa кoнeчнoй пoлoce нapyжнoй пoвepчнocти и cвoбoднoй oт нaнpяжeний нa ocтaльнoй чacти пoвepчнocти cфopмyлиpoвaнa нa ocнoвe пapныч ypaвнeний для нeизвecтныч paдиaльныч нaпpяжeний нapyжнoгo кpaя. Cpaвнивaютcя peщeния мeтoдoм BинepaЧoпфa и мeтoдoм pядoв. Иccлeдyютc я paзныe кoмпoнeнты нaяpяжeний и пepeмeщeний в пилиндpe. Чeтыpe cчeмы зaдaнныч пepeмeщeний иcпoльзyютcя для oбнapyжeния нeкoтopшч чapaктepиcтик paзpывoв нaпpяжeний cмeщaннoй кpaeвoй зaдaчи." @default.
- W2013902400 created "2016-06-24" @default.
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- W2013902400 date "1966-08-01" @default.
- W2013902400 modified "2023-10-16" @default.
- W2013902400 title "The indentation problem of an infinite, hollow, elastic cylinder for an axisymmetric punch of finite length and arbitrary profile" @default.
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- W2013902400 doi "https://doi.org/10.1016/0020-7225(66)90043-7" @default.
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