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Application of the method of singular integral equations to elasticity problems with concentrated loads

Die Anwendung der Methode der singulären Integralgleichungen bei Elastizitätsproblemen mit konzentrierten Lasten

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Summary

The method of singular integral equations is a well-known method for solving plane and antiplane elasticity problems and efficient methods for the numerical solution of these equations have been developed. In this paper this method is used for problems where concentrated loads are applied on the boundary of the elastic medium. An application to a straight crack problem in plane isotropic elasticity is also made. Finally, the case of curvilinear crack problems with concentrated loads is considered. The results of this paper can further be applied to more complicated problems with concentrated loads.

Zusammenfassung

Die Methode der singulären Integralgleichungen ist eine sehr bekannte Methode für die Behandlung von ebenen und antiebenen Elastizitäts-problemen und es wurden erfolgreiche Methoden für die numerische Lösung dieser Gleichungen entwickelt. In dieser Arbeit wird die Methode für Probleme angewendet, bei welchen konzentrierte Lasten am Rande des elastischen Mediums aufgebracht werden. Eine Anwendung für ein Problem eines geradlinigen Risses bei ebener, isotroper Elastizität wird gezeigt. Abschließend wird auch der Fall von Problemen mit gekrümmten Rissen bei konzentrierten Lasten behandelt. Die Ergebnisse dieser Arbeit können ferner bei komplizierteren Problemen mit konzentrierten Lasten Anwendung finden.

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  1. School of Engineering, The University of Patras, P. O. Box 25B, Patras, Greece

    N. I. Ioakimidis (Assoc. Professor of Mathematics)

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  1. N. I. Ioakimidis
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Ioakimidis, N.I. Application of the method of singular integral equations to elasticity problems with concentrated loads. Acta Mechanica 40, 159–168 (1981). https://doi.org/10.1007/BF01170428

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