Summary
Simple solutions are given for plane and anti-plane problems of cracks in strips when the strip is made of two or more different elastic media. Cases considered are when time harmonic displacements are applied to the strip sides with a stationary crack, or when fixed displacements are applied to the strip sides and the crack moves uniformly. These results generalise in some respects results given recently by Matcynski [1], [2], [3].
Zusammenfassung
Einige einfache zweidimensionale elastische Lösungen (ebene Verzerrung oder longitudinale Scherung) werden für einen Riß gegeben, der in einem Streifen liegt, welcher aus zwei oder mehreren elastischen Medien zusammengesetzt ist. Zwei Fälle werden behandelt: Erstens, daß der Riß sich nicht bewegt, während die an die Streifenränder vorgegebenen Verschiebungen sich harmonisch verändern; und zweitens, daß der Riß sich gleichmäßig bewegt, während die Randverschiebungen konstant sind. Diese Resultate verallgemeinern gewissermaßen die vor kurzem von Matcynski [1], [2], [3] gegebenen.
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References
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Atkinson, C. On quasistatic problems of cracks in a non-homogeneous elastic layer. Acta Mechanica 26, 103–113 (1977). https://doi.org/10.1007/BF01177139
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DOI: https://doi.org/10.1007/BF01177139