 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 55, Issue 8 / 2020 | Next article >> |
| Artamonova E.A. and Pozharskii D.A., "Plane Cracks in a Transversely Isotropic Layer," Mech. Solids. 55 (8), 1406-1414 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1406-1414 |
| DOI |
10.3103/S002565442008004X |
| Title |
Plane Cracks in a Transversely Isotropic Layer |
| Author(s) |
Artamonova E.A. (Don State Technical University, Rostov-on-Don, 344000 Russia)
Pozharskii D.A. (Don State Technical University, Rostov-on-Don, 344000 Russia, pozharda@rambler.ru) |
| Abstract |
Problems of plane cracks of normal fracture (mathematical cuts) in the middle plane of a
transversely isotropic elastic layer, the outer faces of which are under conditions of a sliding support,
are considered. Isotropic planes are parallel or perpendicular to layer faces. Using the Fourier integral
transform, the problems are reduced to integro-differential equations for crack opening, from which
one can obtain the known equations of the corresponding problems for a transversely isotropic space
and an isotropic layer by passing to the limit. A regular asymptotic method is applied for elliptical
cracks; this method is effective for a relatively thick layer. It is shown the applicability domain of the
method narrows with increasing anisotropy that is characterized by the roots of the characteristic
equation (for an isotropic material, all roots are equal to unity). For strip-like cracks, closed solutions
are obtained based on special approximations of the kernel symbols of integral equations, the relative
errors of which decrease with increasing anisotropy. Calculations are made for known transversely isotropic materials. |
| Keywords |
theory of elasticity, transversal isotropy, layer, crack |
| Received |
17 January 2020 | Revised |
21 April 2020 | Accepted |
23 May 2020 |
| Link to Fulltext |
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