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IssuesArchive of Issues2011-2pp.291-298

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E.I. Starovoitov and D.V. Leonenko, "Deformation of a Three-Layer Elastoplastic Beam on an Elastic Foundation," Mech. Solids. 46 (2), 291-298 (2011)
Year 2011 Volume 46 Number 2 Pages 291-298
DOI 10.3103/S002565441102018X
Title Deformation of a Three-Layer Elastoplastic Beam on an Elastic Foundation
Author(s) E.I. Starovoitov (Belarusian State University of Transport, Kirova 34, Gomel, 246653 Republic of Belarus, edstar@mail.by)
D.V. Leonenko (Belarusian State University of Transport, Kirova 34, Gomel, 246653 Republic of Belarus, leoden@tut.by)
Abstract We study the thermal force bending of an elastoplastic three-layer beam with a rigid filler; the beam is connected with an elastic foundation. The broken normal hypothesis is adopted to describe the kinematics of a packet nonsymmetric with respect to the thickness. The foundation reaction is described by Winkler's model. The system of equilibrium equations and its exact solution in displacements are obtained and numerical results for a three-layer metal-polymeric beam are presented.
Keywords thermoelasticity, plasticity, three-layer beam, rigid filler, elastic foundation
References
1.  A. A. Il'yushin, Plasticity, Part 1: Elastoplastic Defomations (Gostechizdat, Moscow, 1948) [in Russian].
2.  A. G. Gorshkov, E. I. Starovoitov, and A. V. Yarovaya, Mechanics of Layered Viscoelastoplastic Constructional Elements (Fizmatlit, Moscow, 2005) [in Russian].
3.  A. G. Gorshkov, E. I. Starovoitov, D. V. Tarlakovskii, Theory of Elasticity and Plasticity (Fizmatlit, Moscow, 2002) [in Russian].
4.  A. G. Gorshkov, E. I. Starovoitov, and A. V. Yarovaya, "Harmonic Loading of Laminated Viscoelastoplastic Systems," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 91-98 (2000) [Mech. Solids (Engl. Transl.) 35 (6), 75-81 (2000)].
5.  A. G. Gorshkov, E. I. Starovoitov, and A. V. Yarovaya, "Cyclic Loading of Elastic-Plastic Bodies in Neutron Flux," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 79-85 (2001) [Mech. Solids (Engl. Transl.) 36 (1), 64-69 (2001)].
6.  Cheng Zhen-qiang, A. K. Jemah, and F. W. Williams, "Theory for Multilayered Anisotropic Plates with Weakened Interfaces," Trans. ASME. J. Appl. Mech. 63 (4), 1019-1026 (1996).
7.  D. V. Leonenko and E. I. Starovoitov, "Thermoplastic Strain of Circular Sandwich Plates on an Elastic Base," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 106-119 (2009) [Mech. Solids (Engl. Transl.) 44 (5), 744-755 (2009)].
Received 06 December 2010
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