 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| A. G. Bagdoev and S. G. Saakyan, "Anti-plane problem of a crack with arbitrary growth rate in an anisotropic inhomogeneous elastic material," Mech. Solids. 37 (2), 118-125 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
2 |
Pages |
118-125 |
| Title |
Anti-plane problem of a crack with arbitrary growth rate in an anisotropic inhomogeneous elastic material |
| Author(s) |
A. G. Bagdoev (Erevan)
S. G. Saakyan (Erevan) |
| Abstract |
A solution of the plane problem of a crack that grows with an arbitrary
velocity in an isotropic homogeneous elastic medium was constructed in [1]
by the convolution method. The anti-plane and the plane problems for a
homogeneous isotropic medium were considered in [2]. A solution of the
anti-plane problem for a homogeneous isotropic medium was initially found
in [3]. Numerous topics related to crack growth can be found in [4]. The
solutions obtained in [2, 3] are based on the method developed for a
problem of flow around an airfoil [5]. The anisotropic anti-plane problem
for a crack in a homogeneous elastic medium was studied in [6].
In the present paper, we consider the anti-plane problem for
a crack with an arbitrary growth rate in
an inhomogeneous anisotropic elastic medium.
Solutions are obtained for displacements on the crack
in the case of weak or arbitrary inhomogeneity and for stresses outside
the crack in the case of weak inhomogeneity. |
| References |
| 1. | V. A. Saraikin and L. I. Slepyan, "Plane problem of crack
dynamics in an elastic solid," Izv. AN SSSR. MTT [Mechanics of Solids],
No. 4, pp. 54-73, 1979. |
| 2. | K. Aki and P. Richards, Quantitative Seismology. Volume 2 [Russian
translation], Mir, Moscow, 1983. |
| 3. | B. V. Kostrov, "Unsteady propagation of the longitudinal shear
crack," PMM [Applied Mathematics and Mechanics], Vol. 30, No. 6,
pp. 1042-1049, 1966. |
| 4. | B. V. Poruchikov, Methods of Dynamic Theory of Elasticity [in
Russian], Nauka, Moscow, 1986. |
| 5. | E. A. Krasil'shchikova, A Thin Foil in a Compressible Fluid [in
Russian], Nauka, Moscow,1978. |
| 6. | A. G. Bagdoev and L. A. Movsisyan, Approximate solution of the
anisotropic problem of crack propagation," in Mechanics. Volume 7 [in
Russian], pp. 48-55, Izd-vo Erevan. Un-ta, Erevan, 1989. |
| 7. | B. Noble, Methods Based on the Wiener-Hopf Technique for the
Solution of Partial Differential Equations [Russian translation], Izd-vo
Inostr. Lit-ry, Moscow, 1962. |
| 8. | H. Bateman and A. Erdélyi, Tables of Integral Transforms.
Volume 1 [Russian translation], Nauka, Moscow, 1969. |
| 9. | A. G. Bagdoev and L. A. Movsisyan, "Problems for cracks in a
viscoelastic medium," Izv. AN ArmSSR. Mekhanika, Vol. 40, No. 3, pp. 3-10,
1987. |
|
| Received |
04 February 1999 |
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