A.G.Bagdoev, S.G.Sahakyan Antiplane problem on a crack, propagating with an arbitrary speed in anisotropic inhomogeneous elastic media |
Acoustic bulletin, Vol. 5 ¹ 4, (2002) |
| A problem on a crack, propagating with an arbitrary speed in anisotropic inhomogeneous elastic media, is solved. The initial problem is reduced to an isotropic one by the change of variables. First of all, the problem for small inhomogeneity is considered. Its solution is obtained by the iteration method and is expressed by quadratures from the solution of the homogeneous case. The stresses outside the crack and displacements on its faces are obtained. Besides, the solution for an arbitrary value of the inhomogeneity parameter is obtained. It is shown that its first order approximation coincides with the solution obtained by the method of small parameter. |
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KEY WORDS: crack, inhomogeneity, anisotropy, elastic medium, method of small parameter |
| TEXT LANGUAGE: English |