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Crack emanating from an open notch

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Abstract

This paper is concerned with the plane elastostatic problem of a crack emanating from an open notch where it is assumed that the crack is directed parallel to one side of the notch. The problem is reduced to two simultaneous Fredholm integral equations which are then solved numerically for three loading conditions of the crack faces. In particular, it is shown that the crack tip intensity factors are almost independent of crack length if the singular stress field associated with the uncracked notch is used as the loading of the crack faces.

Zusammenfassung

Diese Abhandlung befasst sich mit dem flachen elastostatischen Problem eines Risses der von ciner offenen Kerbe ausgeht, wovon man annimmt, dass der Riss parallel zu einer Scite der Kerbe geleitet wird. Das Problem wird reduziert zu zwei simultanen Fredholm Integralgleichungen, die dann numeriert für drei Ladebedingungen der Rissoberfläche gelöst werden. Ins besondere beweist es, dass die Intensitätfaktoren der Rissspitze beinahe von der Risslänge unabhängig sind wenn das singularische Belastungsfeld assoziiert mit der nichtgerissenen Kerbe als Ladung der Rissoberfläche angewendet wird.

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Authors and Affiliations

  1. Department of Mechanics and Structures, School of Engineering and Applied Science, University of California, 90024, Los Angeles, California

    R. Muki & R. A. Westmann

Authors
  1. R. Muki
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  2. R. A. Westmann
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Muki, R., Westmann, R.A. Crack emanating from an open notch. J Elasticity 4, 173–186 (1974). https://doi.org/10.1007/BF00049263

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  • DOI: https://doi.org/10.1007/BF00049263

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