 | | 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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| P. V. Galpchyan, "On the existence of stress concentrations in loaded bodies made of polycrystalline materials," Mech. Solids. 43 (6), 967-981 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
6 |
Pages |
967-981 |
| DOI |
10.3103/S0025654408060150 |
| Title |
On the existence of stress concentrations in loaded bodies made of polycrystalline materials |
| Author(s) |
P. V. Galpchyan (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019, Republic of Armenia, avsah@mechins.sci.am) |
| Abstract |
We study the character of stress distributions near the corner point of the interface between the two joined crystals. The interface forms a dihedral angle. The joined crystals have a cubic symmetry and consist of the same material. They have a single common principal direction of elasticity, which is parallel to the edge of the dihedral angle. The other principal directions do not coincide and are oriented arbitrarily.
In the framework of elasticity, we consider problems of out-of-plane and plane strain of the twocrystal. We show that, in the case of longitudinal shear in the direction of the common principal axis of elasticity, there is no stress concentration near the corner point of the interface between the two joined crystals.
For the case of plane strain in which all displacements and strains occur only in the planes perpendicular to the common principal direction, we use separation of variables to construct the characteristic equation that determines the stress concentration degree and find the roots of this equation, which determine the order of singularities of the stresses. |
| Received |
28 November 2005 |
| Link to Fulltext |
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