 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| D.L. Bykov, D.N. Konovalov, V.P. Mel'nikov, and A.N. Osavchuk, "Method for Identification of the Filled Polymer Material Relaxation Kernel in Millisecond Time Range," Mech. Solids. 45 (3), 427-436 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
3 |
Pages |
427-436 |
| DOI |
10.3103/S0025654410030131 |
| Title |
Method for Identification of the Filled Polymer Material Relaxation Kernel in Millisecond Time Range |
| Author(s) |
D.L. Bykov (Central Scientific Research Institute for Engineering (TsNIIMash), Pionerskaya 4, Korolev, Moscow oblast, 141070 Russia)
D.N. Konovalov (OT-Kontakt Ltd., Aviamotornaya 2, Moscow, 111020 Russia, dimconov@mtu-net.ru)
V.P. Mel'nikov (The Federal Centre for Dual-use Technologies "Soyuz," Akademika Zhukova 42, Dzerzhinsky, Moscow oblast, 140090 Russia, vmelnikov@inbox.ru)
A.N. Osavchuk (The Federal Centre for Dual-use Technologies "Soyuz," Akademika Zhukova 42, Dzerzhinsky, Moscow oblast, 140090 Russia) |
| Abstract |
The filled polymer materials exhibit viscoelastic properties in a wide time range including the millisecond range (~10−2−10 ms) characteristic of different shock loadings of structures made of these materials. We propose a method for the identification of the filled polymer material relaxation kernel in the millisecond time range; this method is based on a shock loading test of a cylindrical sample made of this material. In this test, the disk indenter acceleration is measured by using a piezotransducer. The test scheme does not impose any rigid constraints on the sample dimensions. In particular, it is possible to use samples of typical dimensions of the order of 10 cm, for which the conditions that the sample material is representative of the structure material are necessarily satisfied. The relaxation kernel parameters are identified by numerical minimization of the theoretically predicted indenter velocity deviation from the velocity-time dependence obtained by integrating the acceleration transducer readings. The minimization problem is solved by using a genetic algorithm. The problem of theoretical prediction of the indenter velocity is solved numerically by using a reduced computational scheme whose parameters are chosen from the minimum condition for the deviation from the prediction obtained in the framework of the detailed computational scheme. The use of the reduced computational scheme permits decreasing the computational costs by 3-4 orders of magnitude compared with the detailed computational scheme, which is a necessary condition for the practical applicability of the genetic algorithm in identification problems. We present examples of relaxation kernel identification in the range of 0.1-10 ms from the results of the test where the disk indenter raised to the height of 1 m falls on the sample end surface. |
| Keywords |
filled polymer materials, shock loading, relaxation kernel, identification, genetic algorithm |
| References |
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[Mech. Solids (Engl. Transl.)
37 (4), 52-62 (2002)]. |
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| 9. | http://www.aptechnology.nl/catalog/html/product/details/acc_shock.html |
| 10. | H. M. Hilber, T. J. R. Hughes, and R. L. Taylor,
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|
| Received |
21 December 2009 |
| Link to Fulltext |
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