Determination of Displacements of the Faces of Two Collinear Cracks of Different Lengths within the Framework of the Leonov–Panasyuk Model

Within the framework of the Leonov–Panasyuk model, we investigate the stress-strain state of an infinite isotropic elastic body with two collinear cracks of different lengths under the action of tensile forces applied at infinity in the direction perpendicular to the line of the cracks. We obtain eq...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-04, Vol.198 (1), p.87-102
Main Authors: Kamins’kyi, A. O., Selivanov, M. F., Chornoivan, Yu. O.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Within the framework of the Leonov–Panasyuk model, we investigate the stress-strain state of an infinite isotropic elastic body with two collinear cracks of different lengths under the action of tensile forces applied at infinity in the direction perpendicular to the line of the cracks. We obtain equations for the crack opening displacements in the analytic form and present examples of the results of numerical evaluation of opening displacements for different ratios of crack lengths and their mutual positions.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-1775-5