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Acta Mechanica
Erschienen in: Acta Mechanica 8/2021

05.05.2021 | Original Paper

A screw dislocation near a semi-infinite crack partially penetrating an elastic inhomogeneity of arbitrary shape

verfasst von: Xu Wang, Peter Schiavone

Erschienen in: Acta Mechanica | Ausgabe 8/2021

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Abstract

A novel yet simple method is proposed to derive an analytical solution to the interaction problem of a screw dislocation inside an elastic inhomogeneity of arbitrary shape partially penetrated by a semi-infinite crack. The two analytic functions characterizing the elastic fields of stresses and displacement in the two-phase composite are readily obtained. Furthermore, we derive explicit expressions for the mode III stress intensity factor at the crack tip and the image force acting on the screw dislocation. Several specific examples are presented to demonstrate the obtained solution. An analytical solution to the case in which the screw dislocation is located in the cracked matrix is similarly derived.
Nächster Artikel Complex band structure and attenuation performance of a viscoelastic phononic crystal with finite out-of-plane extension
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Metadaten
Titel
A screw dislocation near a semi-infinite crack partially penetrating an elastic inhomogeneity of arbitrary shape
verfasst von
Xu Wang
Peter Schiavone
Publikationsdatum
05.05.2021
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 8/2021
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-021-02989-4

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