 | | 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: | | 12854 |
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| In English (Mech. Solids): | | 4810 |
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| E.I. Shifrin and P.S. Shushpannikov, "Identification of Finitely Many Small Defects in an Anisotropic Linearly Elastic Body from a Single Static Test," Mech. Solids. 50 (4), 421-431 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
4 |
Pages |
421-431 |
| DOI |
10.3103/S0025654415040081 |
| Title |
Identification of Finitely Many Small Defects in an Anisotropic Linearly Elastic Body from a Single Static Test |
| Author(s) |
E.I. Shifrin (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, shifrin@ipmnet.ru)
P.S. Shushpannikov (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, shushpan@ipmnet.ru) |
| Abstract |
The problem of identification of finitely many small defects (inclusions, cavities, cracks) clearly separated from each other in the arbitrarily anisotropic linearly elastic space is considered. It is assumed that the forces and displacements are measured on the outer boundary of the body in a single static experiment. A method for determining the number of defects and their center position from the available data is developed. The geometric parameters (dimensions and orientations) of defects are determined if they have ellipsoidal shapes. |
| Keywords |
theory of elasticity, anisotropy, inverse problem, multiple defects, reciprocity functional |
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|
| Received |
15 April 2015 |
| Link to Fulltext |
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