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On the simple tension of a nonhomogeneous anisotropic elastic plate with cracks

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Übersicht

Es wird eine zweidimensionale geschlossene Lösung für die Zugbeanspruchung zweier anisotroper Halbscheiben gegeben, die längs eines Stücks ihrer geraden Berandung miteinander verbunden sind. Die Lösung wird auf ein duales inhomogenesHilbertsches Problem für zwei unbekannte Funktionen zurückgeführt. Um den Einfluß der Anisotropie auf den Verlauf der Spannungen in der Nähe der miteinander verbundenen Randteile zu erkennen, werden numerische Berechnungen für verschiedene Belastungsfälle durchgeführt. Der Verlauf dieser Spannungen ist in einigen Diagrammen dargestellt.

Summary

A two-dimensional solution expressed in finite terms is given to the problem of the extension of two anisotropic semi-infinite plates, which have different elastic properties and are bonded to each other along a finite number of straight-line segments on their boundaries. The method of solution is based on the reduction to a type of dual nonhomogeneousHilbert problems for two functions.

To explain the effect of anisotropy on the stresses near the common edge, numerical computations are carried out for the case where two semi-infinite plates bonded along a single segment are subjected to some special loading conditions. Stress distributions on this common edge and isochromatic lines in its neighborhood are shown in several figures.

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References

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Author notes

  1. T. Kamada

    Present address: Department of Mechanical Engineering, Tohoku University, Sendai, Japan

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    1. T. Kamada
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    Kamada, T. On the simple tension of a nonhomogeneous anisotropic elastic plate with cracks. Ing. arch 36, 303–313 (1968). https://doi.org/10.1007/BF00641175

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    • DOI: https://doi.org/10.1007/BF00641175

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