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A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model

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The problem of a mode I crack having multiple contacts between the crack faces is considered. In the case of small contact islands of arbitrary shapes, which are arbitrarily located… Click to show full abstract

The problem of a mode I crack having multiple contacts between the crack faces is considered. In the case of small contact islands of arbitrary shapes, which are arbitrarily located inside the crack, the first-order asymptotic model for the crack opening displacement is constructed using the method of matched asymptotic expansions. The case of a penny-shaped crack has been studied in detail. A scaling hypothesis for the compliance reduction factor is formulated.

Keywords: crack faces; crack multiple; mode crack; asymptotic model; crack

Journal Title: Mathematics and Mechanics of Solids
Year Published: 2021

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