Ingenieur-Archiv

, Volume 44, Issue 3, pp 153–160 | Cite as

Mean-stress approach to integration of differential equations in elastostatics, and the Neuber-Papkovich and Galerkin representations

  • J. J. Golecki
Article
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Summary

The mean-stress approach proposed by the author for integration of differential equation in elastostatics is applied to derivation of uncoupled solutions. In particular, the Neuber-Papkovich and Galerkin representations are analysed and adapted for use in elastostatics of incompressible bodies and in theory of slow steady viscous flow. It is shown that in multiply-connected regions, both representations may lead to many-valued solutions unless the special integral conditions are satisfied identically.

Keywords

Differential Equation Neural Network Complex System Information Theory Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Übersicht

Das vom Verfasser vorgeschlagene Verfahren einer Spannungsmittelung zur Integration von Differentialgleichungen der Elastostatik wird zur Ableitung von ungekoppelten Lösungen verwendet. Insbesondere werden die von Neuber-Papkovich und Galerkin gegebenen Darstellungen für den Gebrauch in der Elastostatik inkompressibler Körper sowie in der Theorie von langsamen, stationären, viskosen Strömungen angepaßt. Es wird gezeigt, daß beide Darstellungsarten bei mehrfach zusammenhängenden Bereichen zu mehrdeutigen Lösungen führen, falls nicht die besonderen Integralbedingungen erfüllt sind.

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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • J. J. Golecki
    • 1
  1. 1.Department of MechanicsTechnion-Israel Institute of TechnologyHaifaIsrael

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