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IssuesArchive of Issues2002-5pp.56-67

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M. A. Kulesh, V. P. Matveenko, and I. N. Shardakov, "Construction of analytical solutions of some two-dimensional problems in the moment theory of elasticity," Mech. Solids. 37 (5), 56-67 (2002)
Year 2002 Volume 37 Number 5 Pages 56-67
Title Construction of analytical solutions of some two-dimensional problems in the moment theory of elasticity
Author(s) M. A. Kulesh (Perm)
V. P. Matveenko (Perm)
I. N. Shardakov (Perm)
Abstract In the framework of the nonsymmetric theory of elasticity, the following problems are considered: shear of an elastic infinite plane layer (plate); torsion of a plane ring with rigidly fixed outer boundary by means of rotation of the inner boundary; deformation of a plane washer by rigid displacement of its inner contour relative to the outer contour. It is assumed that deformations of the material are described not only by the displacement vector but also by the vector of rotation. General analytical solutions of these problems are obtained in the form of infinite series. We find the dependence of the solutions in dimensionless form on the characteristic size of the problem. The solutions obtained are compared with their analogues from the symmetric theory of elasticity.
References
1.  W. Nowacki, Theory of Elasticity [Russian translation], Mir, Moscow, 1975.
2.  W. Nowacki, Teoria Niesymetrycznej Sprezystości, PNW, Warszawa, 1971.
3.  E. L. Aero and E. V. Kuvshinskii, "A continuous theory of asymmetric elasticity; equilibrium of an isotropic body," Fiz. Tverd. Tela, Vol. 6, No. 9, pp. 2689-2699, 1964.
4.  V. A. Pal'mov, "Basic equations of the nonsymmetric theory of elasticity," PMM [Applied Mathematics and Mechanics], Vol. 28, No. 3, pp. 401-408, 1964.
5.  N. F. Morozov, Mathematical Issues of the Theory of Cracks [in Russian], Nauka, Moscow, 1984.
6.  M. Misicu, "Theory of viscoelasticity with couple stress and some reductions to two-dimensional problems," Revue de Mecanique, Vol. 8, No. 6, 1963.
7.  M. Misicu, "On a theory of asymmetric plastic and viscoelastic-plastic solids," Revue Romaine de Sciences Techniques, Ser. Mecanique Appl., Vol. 9, No. 3, 1964.
8.  G. N. Savin, Mechanics of Solids [in Russian], Naukova Dumka, Kiev, 1979.
9.  R. D. Gauthier and W. E. Jahsman, "A quest for micropolar elastic constants," Trans. ASME. Ser. E.J. Appl. Mech., Vol. 42, No. 2, pp. 369-374, 1975.
10.  V. A. Pal'mov, "A plane problem of the nonsymmetric theory of elasticity," PMM [Applied Mathematics and Mechanics], Vol. 28, No. 6, pp. 1117-1120, 1964.
11.  B. M. Chiu and J. D. Lee, "On the plane problem in micropolar elasticity," Intern. J. Eng. Sci., Vol. 11, No. 9, pp. 997-1012, 1973.
12.  A. I. Lur'e, Theory of Elasticity [in Russian], Nauka, Moscow, 1970.
13.  F. Labropulu and O. P. Chandna, "Some confluent flows of Cosserat fluids", ZAMM, Bd. 75, H. 3, S. 233-237, 1995.
Received 16 May 2000
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