 | | 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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| R. A. Kayumov, "Extended problem of the identification of mechanical characteristics of materials on the basis of testing of structures," Mech. Solids. 39 (2), 74-81 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
2 |
Pages |
74-81 |
| Title |
Extended problem of the identification of mechanical characteristics of materials on the basis of testing of structures |
| Author(s) |
R. A. Kayumov (Kazan) |
| Abstract |
Problems of the identification of mechanical characteristics of materials on
the basis of test data for structures made of these materials have drawn rather much
attention [1-16]. These problems are in essence inverse problems which can be
ill-conditioned and need regularization methods to be solved. This approach is
particularly attractive for determining mechanical characteristics of composite
materials like tapes and braids, since it permits one to overcome technical
difficulties of identifying these characteristics in the direction orthogonal
to the reinforcement direction. In addition, this approach indirectly takes
into account technological features manufacturing the structures.
In the present study, an approach is suggested which makes it possible to
obtain good agreement between computational and experimental data by extending
the problem of identification. It is shown on the basis of an example of the
processing of the results of a realistic experiment that this approach gives
the discrepancies between computational and experimental parameters which are
several times smaller than those for the traditional approach. |
| References |
| 1. | N. A. Alfutov, P. A. Zinov'ev, and L. P. Tairova, "Identification of
elastic characteristics of unidirectional materials on the basis of the test
results for laminated composites," in Strength Analysis [in Russian], No. 30,
pp. 16-31, Mashinostroenie, Moscow, 1989. |
| 2. | Yu. V. Suvorova, V. S. Dobrynina, I. N. Statnikov, and Yu. Ya. Bart,
"Determination of the properties of a composite in a structure by using the
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No. 1, pp. 150-157, 1989. |
| 3. | I. G. Teregulov, "Asymptotic analysis and classification of the
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| 4. | R. A. Kayumov, "Plastic flow of fiber-reinforced materials and
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| 5. | R. A. Kayumov, "Identification of mechanical characteristics of
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| 6. | I. G. Teregulov, R. A. Kayumov, Yu. I. Butenko, and D. Kh. Safiullin,
"Identification of mechanical characteristics of composites on the basis of
the test results for laminated specimens," Mekhanika Kompozitsionnykh
Materialov, Vol. 31, No. 5, pp. 607-615, 1995. |
| 7. | G. V. Vorontsov, B. I. Plyushchev, A. I. Reznichenko, "Identification
of reduced elastic characteristics of reinforced composites by using the
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No. 4, pp. 733-747, 1990. |
| 8. | R. Rikards and A. Chate, "Identification of mechanical characteristics
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Kompozitsionnykh Materialov, Vol. 34, No. 1, pp. 3-16, 1998. |
| 9. | P. S. Frederiksen, "Experimental procedure and results for the
identification of elastic constants of thick orthotropic plates," J. Composite
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| 10. | A. S. Kravchuk, "Algorithms of tomography in the theory of
elasticity," PMM [Applied Mathematics and mechanics], Vol. 63, No. 3,
pp. 509-512, 1999. |
| 11. | I. F. Obraztsov and Yu. G. Yanovskii, "The role of the hierarchical
adaptive approach in the mechanics of heterogeneous media," Izv. AN. MTT
[Mechanics of Solids], No. 6, pp. 95-117, 1999. |
| 12. | D. L. Bykov and D. N. Konovalov, "Determination of material functions
in the nonlinear theory of thermoviscoelasticity using its hierarchical
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| 13. | V. P. Matvienko and N. A. Yurlova, "Identification of effective
elastic constants of composite shells on the basis of static and dynamic
experiments," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 12-20, 1998. |
| 14. | E. A. Leonova, "On ill-posed static problems in elasticity," Izv.
AN. MTT [Mechanics of Solids], No. 6, pp. 71-77, 1997. |
| 15. | I. Yu. Tsvelodub, "To the determination of stiffness characteristics
of a physically nonlinear inclusion in a linearly elastic medium," Zh. Prikl.
Mekhaniki i Tekhn. Fiziki, Vol. 41, No. 4, pp. 178-184, 2000. |
| 16. | V. G. Yakhno, Inverse Problems for Differntial Equations of Elasticity
[in Russian], Nauka, Novosibirsk, 1990. |
| 17. | K. P. Alekseev, R. A. Kayumov, I. G. Teregulov, and
I. Kh. Fakhrutdinov, "Mechanical characteristics of organo- and carbon-plastic
tubes manufactured by using cross winding," Mekhanika Kompozitsionnykh
Materialov i Konstruktsii, Vol. 4, No. 4, pp. 3-20, 1998. |
| 18. | V. V. Vasil'ev, Mechanics of Structures Made of Composite Materials
[in Russian], Mashinostroenie, Moscow, 1998. |
|
| Received |
25 June 2001 |
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