Uniformity of stresses inside a non-elliptical inhomogeneity interacting with a mode III crack
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Bibliographic record
Abstract
Using conformal mapping techniques and the theory of Cauchy singular integral equations, we prove that it is possible to maintain a uniform internal stress field inside a non-elliptical elastic inhomogeneity embedded in an infinite matrix subjected to uniform remote stress despite the fact that the inhomogeneity interacts with a finite mode III crack. The crack can be modelled either as a Griffith crack or as a Zener–Stroh crack. Our analysis further indicates that the existence of the crack plays a key role in influencing the shape of the corresponding inhomogeneity but not the internal uniform stress field inside the inhomogeneity. Numerical examples are presented to demonstrate the solution.
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| Category | Codex | Gemma |
|---|---|---|
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| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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