 | | 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 |
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| In English (Mech. Solids): | | 3212 |
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| N.A. Abrosimov and N.A. Kulikova, "Parameter Identification in Viscoelastic Strain Models for Composite Materials by Analyzing Impulsive Loading of Shells of Revolution," Mech. Solids. 46 (3), 368-379 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
3 |
Pages |
368-379 |
| DOI |
10.3103/S0025654411030046 |
| Title |
Parameter Identification in Viscoelastic Strain Models for Composite Materials by Analyzing Impulsive Loading of Shells of Revolution |
| Author(s) |
N.A. Abrosimov (Research Institute for Mechanics, Lobachevsky State University of Nizhni Novgorod, pr-t Gagarina 23, korp. 6, GSP-1000, Nizhni Novgorod, 603600 Russia, abrosimov@dk.mech.unn.ru)
N.A. Kulikova (Research Institute for Mechanics, Lobachevsky State University of Nizhni Novgorod, pr-t Gagarina 23, korp. 6, GSP-1000, Nizhni Novgorod, 603600 Russia, knadya2004@mail.ru) |
| Abstract |
An analytical-experimental method for identifying the material constants and functions in the constitutive relations of viscoelastic strain for homogeneous composite materials is proposed. The method is based on the minimization of the discrepancy between the results of numerical and experimental modeling of nonstationary deformation processes in shells of revolution made of the materials under study. The approach was tested and its adequacy was shown in problems of determining the rigidity and rheological characteristics of composite materials from the results of comparative analytical-experimental study of nonstationary deformation of spherical and cylindrical shells under impulsive loading. |
| Keywords |
mathematical model, identification, viscoelastic strain, numerical method, impulsive loading |
| References |
| 1. | G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev,
Vibration-Absorbing Properties of Structural Materials
(Naukova Dumka, Kiev, 1971; Warsaw, 1976)
[in Russian, in Polish]. |
| 2. | B. L. Pelekh and B. I. Salyak,
Experimental Methods Investigation of Dynamical Properties of Composite Structures
(Naukova Dumka, Kiev, 1990)
[in Russian]. |
| 3. | N. A. Alfutov, P. A. Zinoviev, and L. P. Tairova,
"Identation of Elastic Characteristics of Unidirectional Materials
from the Results of Sandwich Composite Tests,"
Strength Computations, Vol. 30
(Mashinostroenie, Moscow, 1989),
pp. 16-31
[in Russian]. |
| 4. | Yu. V. Suvorova, V. S. Dobrynin, I. N. Statnikov, and Yu. Ya. Bart,
"Determining the Properties of a Composite in a Structure by the Parametric-Identification Method,"
Mekh. Komp. Mater.,
No. 1, 150-157 (1989)
[Mech. Comp. Mater. (Engl. Transl.)
25 (1), 130-136 (1989)]. |
| 5. | G. V. Vorontsov, B. I. Plyushchev, and A. I. Reznichenko,
"Determination of Reduced Elastic Characteristics
of Reinforced Composite Materials by Tensometric Inverse Problem Methods,"
Mekh. Komp. Mater.,
No. 4, 733-736 (1990)
[Mech. Comp. Mater. (Engl. Transl.)
26 (4), 551 (1990)]. |
| 6. | I. G. Teregulov, R. A. Kayumov, Yu. I. Butenko, and D. Kh. Safiullin,
"Determination of the Mechanical Indices of Composite Materials
by Testing Multilayered Samples,"
Mekh. Komp. Mater.
31 (5), 607-615 (1995)
[Mech. Comp. Mater. (Engl. Transl.)
31 (5), 446-452 (1995)]. |
| 7. | P. S. Frederiksen,
"Experimental Procedure and Results for the Identification of Elastic Constants
of Thick Orthotropic Plates,"
J. Comp. Mater.
31 (4), 360-382 (1997). |
| 8. | V. P. Matveenko and N. A. Yurlova,
"Identification of Effective Elastic Constants
of Composite Shells on the Basis of Static
and Dynamic Experiments,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 12-20 (1998)
[Mech. Solids (Engl. Transl.)
33 (3), 8-14 (1998)]. |
| 9. | R. Rikards and A. Chate,
"Identification of Mechanical Properties of Composites Based
on Design of Experiments,"
Mekh. Komp. Mater.
34 (1), 3-16 (1998)
[Mech. Comp. Mater. (Engl. Transl.)
34 (1), 1-11 (1998)]. |
| 10. | R. A. Kayumov,
"Extended Problem of the Identification of Mechanical Characteristics of Materials
on the Basis of Testing of Structures,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 94-103 (2004)
[Mech. Solids (Engl. Transl.)
39 (2), 74-81 (2004)]. |
| 11. | A. G. Fedorenko, V. I. Tsypkin, A. G. Ivanov, et al.,
"Peculiarities of the Dynamic Deformation and Fracture of Cylindrical
Glass-Fiber Reinforced Plastic Shells upon Internal Impulse Loading,"
Mekh. Komp. Mater.,
No. 1, 90-94 (1983)
[Mech. Comp. Mater. (Engl. Transl.)
19 (1), 75-79 (1983)]. |
| 12. | A. G. Demeshkin, M. E. Kozeko, V. M. Kornev, and V. D. Kurguzov,
"Damping Characteristics of Composite Structural Materials Fabricated by Winding,"
Zh. Prikl. Mekh. Tekhn. Fiz.
42 (1), 190-195 (2001)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
42 (1), 169-173 (2001)]. |
| 13. | L. V. Volodina, N. N. Gerdyukov, E. V. Zotov, et al.,
"Reaction of Hemispherical Shells Made of Explosives
to the Action of Impulsive Loading (Experiment-Calculated Studies).
Matters, Materials, and Structures under Intensive Dynamical Actions,"
in Proc. Intern. Conf. "V Kharitonov Thematic Scientific Readings"
(Vseros. nauch.-issled. in-t eksperim. fiziki, Sarov, 2003)
[in Russian]. |
| 14. | V. V. Vasiliev and S. A. Lurie,
"To the Problem of Construction of Nonclassical Theories of Plates,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 2, 158-167 (1990)
[Mech. Solids (Engl. Transl.)]. |
| 15. | N. A. Abrosimov and V. G. Bazhenov,
Nonlinear Problems of Composite Structure Dynamics
(Izd-vo NNGU, Nizhnii Novgorod, 2002)
[in Russian]. |
| 16. | M. A. Koltunov,
"On Computation of Flexible Depressed Orthotropic Shells with Nonlinear Heredity,"
Vestnik Moskov. Univ. Ser. I. Mat. Mekh.,
No. 5, 79-88 (1964)
[Moscow Univ. Math. Bull.]. |
| 17. | V. V. Novozhilov,
Foundations of the Nonlinear Theory of Elasticity
(Gostekhizdat, Moscow, 1948)
[in Russian]. |
| 18. | G. I. Marchuk,
Methods of Numerical Mathematics
(Nauka, Moscow, 1980; Springer, New York, 1982). |
| 19. | I. M. Sobol',
"Global Sensitivity Indices Used to Study Nonlinear Mathematical Models,"
Mat. Modelirovanie
17 (9), 43-52 (2005)
[Math. Models Comput. Simul. (Engl. Transl.)]. |
| 20. | I. M. Sobol',
Monte Carlo Numerical Methods
(Nauka, Moscow, 1973)
[in Russian]. |
| 21. | E. J. Huag and J. S. Arora,
Applied Optimal Design: Mechanical and Structural Systems
(Wiley, New York, 1979; Mir, Moscow, 1983). |
| 22. | D. M. Himmelblau,
Applied Nonlinear Programming
(McGraw-Hill, 1972; Mir, Moscow, 1975). |
| 23. | A. S. Antonov,
Parallel Programming with MPI Technology: a Handbook
(Izd-vo MGU, Moscow, 2004)
[in Russian]. |
| 24. | F. A. Baum, L. P. Orlenko, K. P. Stanyukovich, et al.,
Physics of Explosion
(Nauka, Moscow, 1975)
[in Russian]. |
| 25. | E. V. Zotov, N. N. Gerdyukov, and L. V. Volodina,
"A Miniature Spherical Explosive Loading Device,"
Fiz. Goreniya Vzryva
32 (2), 134-140 (1996)
[Comb. Expl. Shock Waves (Engl. Transl.)
32 (2), 233-238 (1996)]. |
| 26. | E. K. Ashkenazi and E. V. Ganov,
Anisotropy of Structural Materials, Handbook
(Mashinostroenie, Leningrad, 1980)
[in Russian]. |
|
| Received |
28 November 2008 |
| Link to Fulltext |
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