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A two-dimensional discontinuous boundary-value problem for circular regions and Prandtl's integral equation

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Summary

In this paper a study has been made of a discontinuous boundary-value problem. A circular disc made of homogeneous isotropic elastic matcrial is in a state of generalized plane stress. The boundary of the disc is divided into two parts. Over one part the stresses are zero; over the other the shear stress is zero and the normal displacement is specified. The problem has been solved after converting it into aPrandtl-type integral equation.

Zusammenfassung

Es wird ein diskontinuierliches Randwertproblem für eine Kreisscheibe aus einem homogenen, isotropen elastischen Material untersucht. An einem Teil des Scheibenrandes verschwinden die Spannungen. Am verbleibenden Teil sind die Normalverschiebungen bei verschwindender Schubspannung vorgegeben. Das Problem wird auf die Gestalt einer Integralgleichung vomPrandtlschen Typ gebracht und dann gelöst.

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  1. Department of Mathematics, Rajshahi Government College, Rajshahi, East Pakistan

    S. M. Sharfuddin

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  1. S. M. Sharfuddin
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Sharfuddin, S.M. A two-dimensional discontinuous boundary-value problem for circular regions and Prandtl's integral equation. Acta Mechanica 4, 374–381 (1967). https://doi.org/10.1007/BF01591579

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