 | | 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 39, Issue 6 / 2004 | Next article >> |
| M. A. Grekov and S. N. Makarov, "Stress concentration near a slightly curved part of an elastic body surface," Mech. Solids. 39 (6), 40-46 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
6 |
Pages |
40-46 |
| Title |
Stress concentration near a slightly curved part of an elastic body surface |
| Author(s) |
M. A. Grekov (St. Petersburg)
S. N. Makarov (St. Petersburg) |
| Abstract |
Mechanical damage of structure units often occurs as a result of brittle fracture or plastic deformation arising on the material surface due to various technological defects and inhomogeneities. The damage can also result from corrosion or impact loads. In the present study, small deviations of the body surface from a plane shape are regarded as a surface defect which induces a local increase in the stresses and can cause the development of damage. The stress concentration induced by a slight curvature of the body surface is analyzed by means of a perturbation method. This method is similar to that used in [1, 2] for investigating curvilinear cracks.
The present paper continues the investigation of [3], which was aimed at studying the appearance of half-ring dislocations on the surface of a semiconductor heteroepitaxial structure. Such materials consisting of semiconductor layers with different lattice parameters are widely used in various electronic and optical devices. A discordance between different lattices leads to deformations, which can result in the formation of dislocations. The dislocation density affects the quality and efficiency of electronic devices. |
| References |
| 1. | N. V. Banichuk, "Determination of the shape of a curvilinear crack using a small parameter method," Izv. AN SSSR. MTT [Mechanics of Solids], No. 2, pp. 130-137, 1970. |
| 2. | B. Cotterell and J. R. Rice, "Slightly curved or kinked cracks," Intern. J. Fracture, Vol. 16, No. 2, pp. 155-169, 1980. |
| 3. | H. Gao, "Stress concentration at slightly undulating surfaces,"
J. Mech. Phys. Solids, Vol. 39, No. 4, pp. 443-458, 1991. |
| 4. | M. A. Grekov, Singular Plane Problem of Elaticity [in Russian], SPbGU, St. Petersburg, 2001. |
| 5. | N. I. Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity [in Russian], Nauka, Moscow, 1966. |
|
| Received |
10 September 2002 |
| << Previous article | Volume 39, Issue 6 / 2004 | Next article >> |
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