Фазовые скорости волн Лэмба в многослойных анизотропных композитах

Александр Владимирович Кармазин; Евгения Вадимовна Кириллова; Павел Викторович Сыромятников

Phase speeds of Lamb waves in multilayered anisotropic composites

Authors

Karmazin A.V. Kuban State University, Krasnodar, Russian Federation
Kirillova E.V. University of Applied Sciences, Wiesbaden, Germany
Syromyatnikov P.V. Kuban State University, Krasnodar, Russian Federation

UDC

539.3

EDN

KLTABX

Abstract

Dispersive properties of two symmetric composites from carbon-epoxy AS4/3502 considered as multilayered packages of anisotropic layers are numerically investigated. The analysis is reduced to the research of real poles of the Fourier symbol of Green's matrix of the given media for various directions and frequencies. The obtained results are compared with the known theoretical and experimental data.

Keywords:

composite, anisotropy, Lamb waves, phase speed, dispersion, Green's matrix, Fourier transform

Funding information

Работа выполнена при поддержке Министерства науки и образования Германии, грантов РФФИ (09-08-96527-р-юг, 09-08-96522-р-юг , 09-08-00294, 09-08-00170, 09-01-96507-р-юг, 08-08-00447, 08-01-99013-р-о), программ П9, П22 отделения ЭММПУ и Президиума РАН, выполняемых Южным научным центром РАН.

Authors info

Aleksandr V. Karmazin

аспирант кафедры численного анализа Кубанского государственного университета

e-mail: karmazin@itm.uni-karlsruhe.de
Evgeniya V. Kirillova

канд. физ.-мат. наук, профессор факультета информатики Технического университета г. Висбаден

e-mail: kirillova@web.de
Pavel V. Syromyatnikov

канд. физ.-мат. наук, доцент кафедры математического моделирования Кубанского государственного университета

e-mail: syromyatnikov@math.kubsu.ru

References

Bray D.E., McBride D. Nondestructive testing techniques. New York: Wiley, 1992. 356 рp.
Chimenti D.E. Guided waves in plates and their use in materials characterization // Appl. Mech. Rev. 1997. Vol. 50. No 5. P. 247-284.
Chang F.K. In: Proceedings of the 5th international workshop on structural health monitoring: advancements and challenges for implementation. Lancaster: DEStech, 2005. P. 84-89.
Бабешко В.А., Глушков Е.В., Зинченко Ж.Ф. Динамика неоднородных линейно-упругих сред. М.: Наука, 1989. 344 с.
Ворович И.И., Бабешко В.А., Пряхина О.Д. Динамика массивных тел и резонансные явления в деформируемых средах. М.: Научный мир, 1999. 246 с.
Бабешко В.А., Ратнер С.В., Сыромятников П.В. О смешанных задачах для термоэлектроупругих сред с разрывными граничными условиями // ДАН. 2007. Т. 412. №6. С. 51-56.
Lei Wang, Yuan F.G. Group velocity and characteristic wave curves of Lamb waves in composites: Modeling and experiments // Composites Science and Technology. 2007. No 67. P. 1370-1384.
Hayashi T., Rose J.L. Guided wave simulation and visualization by a Semi-Analytical Finite Element Method // Materials Evaluation. 2003. Vol. 61. No 1. P. 75-79.
Ju T.H., Datta S.K. Dynamics of a Laminated Composite Plate with Interface Layers // Journal of Nondestructive Evaluation. 1992. Vol. 11. No 3/4.
Jones R.M. Mechanics of composite materials. Philadelphia: Taylor & Francis, 1999. 519 p.
Лехницкий С.Г. Теория упругости анизотропного тела. М.: Наука, 1977. 416 с.
Nyfeh A.H., Chimenti D.E. Free wave propagation in plates of general anisotropic media // J. Appl. Mech. 1989. Vol. 56. No 4. P. 881-886.
Muller D.E. A Method for Solving Algebraic Equations Using an Automatic Computer // Math. Tab. Wash. 1956. No 10. P. 45-49.
Royer D., Dieulesaint E. Elastic Waves in Solid I: Free and Guided Propagation. Berlin, Heidelberg: Springer-Verlag, 2000. 374 p.

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Issue

Vol. (2009) No. 2

Pages

22-31

Section

Article

Dates

Submitted

March 25, 2009

Accepted

April 20, 2009

Published

June 29, 2009

How to Cite

[1]

Karmazin, A.V., Kirillova, E.V., Syromyatnikov, P.V., Phase speeds of Lamb waves in multilayered anisotropic composites. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2009, № 2, pp. 22–31.

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Phase speeds of Lamb waves in multilayered anisotropic composites

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