Abstract
The small-time axisymmetric elastic field due to a sudden or impulsive twist applied to a penny-shaped flaw in a radially non-homogeneous isotropic linear clastic medium is investigated. A Green's function approach is adopted leading to an integral equation which is solved analytically by the Wiener-Hopf technique. Using this approach a theorem which relates the solutions of the problem under stress and displacement boundary conditions is proved and applied. General and explicit results for the displacements and normal displacement gradients of the plane of the flaw and also the stress-intensity factors are given.
Zusammenfassung
Das kurzzeithlich axialsymmetrische elastische Feld verursacht durch eine ploetzliche oder impulsive Drehung, die auf einen groschenfoermigen Riss in einem radial unhomogenen isotropischen linearen elastischen Medium augewendet wird, wird untersucht. Ein Green Funktionsansatz wird angewendet der zu einer integralen gelichung fuehrt, die analytisch durch die Wiener-Hopf-Technik geloest wird. Mit dicsem Ansatz wird ein Theorem bewiesen und angewendet das die Loesungen des Problems unter Stress und Verdraengungsrand bedingungen verbindet. Generelle und explizite Resultate Fuer die Verdraengungen und normale Vergraengungsgradienten der Ebene des Risses und auch die Stress intensitaetsfaktoren werded gegeben.
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George, O.D. Sudden twisting of a penny-shaped flaw in a certain non-homogeneous elastic medium. J Elasticity 8, 143–155 (1978). https://doi.org/10.1007/BF00052478
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DOI: https://doi.org/10.1007/BF00052478