Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2002-4pp.136-146

Archive of Issues

Total articles in the database: 11223
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8011
In English (Mech. Solids): 3212

<< Previous article | Volume 37, Issue 4 / 2002 | Next article >>
V. K. Lashchenov, "On steady motion of elastic beams along the boundary of an isotropic elastic strip," Mech. Solids. 37 (4), 136-146 (2002)
Year 2002 Volume 37 Number 4 Pages 136-146
Title On steady motion of elastic beams along the boundary of an isotropic elastic strip
Author(s) V. K. Lashchenov (St. Petersburg)
Abstract We consider a mixed stationary problem describing the motion of a finite elastic beam along the boundary of an isotropic strip. The problem is solved by the method of piecewise homogeneous solutions [1] with the help of a relation of generalized orthogonality for homogeneous solutions. A solution of the problem for a semi-infinite beam and a system of piecewise homogeneous solutions are obtained in quadrature by the Wiener-Hopf method. Numerical examples are given.

Previously, mixed nonstationary contact problems for a punch and a halfplane or a halfspace were studied in [2-6], and similar problems for a composite plane were considered in [7-8].
References
1.  B. M. Nuller, "Contact problems of a semi-infinite elastic cylinder," PMM [Applied Mathematics and Mechanics], Vol. 34, No. 4, pp. 620-631, 1970.
2.  L. A. Galin, Contact Problems of Elasticity [in Russian], Gostekhizdat, Moscow, 1953.
3.  V. M. Alexandrov and S. M. Mkhitatian, Contact Problems for Bodies with Thin Coatings and Interlayers [in Russian], Nauka, Moscow, 1983.
4.  V. M. Alexandrov and E. V. Kovalenko, Problems of Continuum Mechanics with Mixed Boundary Conditions [in Russian], Nauka, Moscow, 1986.
5.  V. A. Babeshko, E. V. Glushkov, and Zh. F. Zinchenko, Dynamics of Nonhomogeneous Linearly Elastic Media [in Russian], Nauka, Moscow, 1989.
6.  A. V. Belokon' and V. P. Shekhov, "Mixed viscoelasticity problems with moving punches," in Static and Dynamic Mixed Problems in Elasticity [in Russian], pp. 231-246, Izd-vo Rostovsk. Un-ta, Rostov-on-Don, 1983.
7.  I. V. Simonov, "Dynamics of a tensile-shear crack on the interface between two elastic materials," Doklady AN SSSR, Vol. 271, No. 1, pp. 65-68, 1983.
8.  E. L. Nakhmein and B. M. Nuller, "On subsonic steady motion of punches and flexible cover plates along the boundary of an elastic halfplane and a composite halfplane," PMM [Applied Mathematics and Mechanics], Vol. 53, No. 1, pp. 134-144, 1989.
9.  V. K. Lashchenov and B. M. Nuller, "The method of piecewise homogeneous solutions in stationary problems of elasticity," PMM [Applied Mathematics and Mechanics], Vol. 64, No. 2, pp. 321-331, 2000.
10.  R. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York, 1963.
11.  V. G. Gogoladze, "Dispersion of Rayleigh waves in a layer," Trudy Seismol. Inst. AN SSSR, Vol. 119, pp. 27-38, 1947.
12.  V. K. Lashchenov and M. G. Sulimov, "Roots of the dispersion equation for the problem of motion of an elastic strip," Vestnik Leningr. Un-ta, Ser. 1, Issue 1, No. 1, pp. 82-88, 1995.
13.  F. D. Gakhov, Boundary-Value Problems [in Russian], Nauka, Moscow, 1977.
14.  B. Noble, Methods Based on Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, London, 1958.
Received 30 March 2000
<< Previous article | Volume 37, Issue 4 / 2002 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100