Calculation of the Prefracture Zone at the Crack Tip on the Interface of Media
Journal Title: The Advanced Science Journal - Year 2010, Vol 2010, Issue 3
Abstract
The plane symmetrical problem on calculation of the prefracture zone at the tip of a crack reaching the interface of isotropic elastic media is considered. The prefracture zone is modelled by lines of rupture of normal displacement located on the interface. An exact solution of the corresponding static problem of the theory of elasticity for piece-homogeneous plane with the media-separating boundary in the form of the sides of angle which contains a semi-infinite crack and two straight lines of rupture emerging from the corner point is constructed by the Wiener-Hopf method. The length of the prefracture zone is determined on the base of this solution. The stress near the corner point is investigated. It is shown that in definite intervals of parameter variation the corner point is the singular point of the above problem of the theory of elasticity. It represents the stress concentrator itself. The exponent of singularity of stresses depends on the angle, Young‘s modulus ratio and on the Poisson‘s ratios. Dependence of the exponent of singularity of stresses on the angle for various intervals of Young‘s modulus ratio variation has been investigated. Parameter variation intervals where the corner point is not the stress concentrator have been determined.
Authors and Affiliations
A Kaminsky, L Kipnis, M Dudik, G Khazin
Keywords
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