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IssuesArchive of Issues2009-5pp.744-755

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D.V. Leonenko and E.I. Starovoitov, "Thermoplastic Strain of Circular Sandwich Plates on an Elastic Base," Mech. Solids. 44 (5), 744-755 (2009)
Year 2009 Volume 44 Number 5 Pages 744-755
DOI 10.3103/S0025654409050112
Title Thermoplastic Strain of Circular Sandwich Plates on an Elastic Base
Author(s) D.V. Leonenko (Belarusian State University of Transport, Kirova 34, Gomel, 246653 Republic of Belarus, leoden@tut.by)
E.I. Starovoitov (Belarusian State University of Transport, Kirova 34, Gomel, 246653 Republic of Belarus, edstar@mail.by)
Abstract We consider thermomechanical bending of an elastoplastic circular (solid or annular) light-filler sandwich plate resting on an elastic base. The hypotheses of broken normal are used to describe the kinematics of the plate stack nonsymmetric along the thickness. The base reaction is described by the Winkler model. We obtain the system of equilibrium equations and its exact solution in terms of displacements. We also present numerical results for a sandwich annular metal-polymer plate.
Keywords thermoplasticity, sandwich plate, bending, Winkler base
References
1.  E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Impulse Loadings of Construction Sandwich Elements (BelGUT, Gomel, 2003) [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.  E. I. Starovoitov and A. V. Yarovaya, "Viscoelastoplastic Sandwich Bar under Thermoforce Loadings," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 109-116 (1998) [Mech. Solids (Engl. Transl.) 33 (3), 87-93 (1998)].
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.  S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959; Nauka, Moscow, 1966).
7.  A. G. Gorshkov, E. I. Starovoitov, and D. V. Tarlakovskii, Theory of Elasticity and Plasticity (Fizmatlit, Moscow, 2002) [in Russian].
8.  A. D. Kovalenko, Thermoelasticity (Vyshcha Shkola, Kiev, 1975) [in Russian].
9.  A. A. Il'yushin, Plasticity, Part 1: Elastoplastic Strains (Gostekhizdat, Moscow-Leningrad, 1948) [in Russian].
10.  E. Kamke, Handbook on Ordinary Differential Equations (Nauka, Moscow, 1976) [in Russian].
11.  A. N. Tikhonov, A. B. Vasil'eva, and A. G. Sveshnikov, Differential Equations (Nauka, Moscow, 1980; Springer, Berlin, 1985).
12.  J. F. Bell, The Experimental Foundations of Solid Mechanics, Parts 1 and 2 (Nauka, Moscow, 1984) [in Russian].
13.  A. Ya. Gol'dman, Strength of Structural Plastics (Mashinostroenie, Moscow, 1979) [in Russian].
14.  V. S. Namestnikov, "Aluminum Alloy Creeping under Variable Loads," Zh. Prikl. Mekh. Tekhn. Fiz., No. 4, 90-95 (1960)
15.  Yu. N. Rabotnov, Mechanics of Deformable Solids (Nauka, Moscow, 1979) [in Russian].
Received 01 August 2007
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