 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 80, Issue 5 / 2016 | Next article >> |
| D.A. Pozharskii, "The elastic equilibrium of an inhomogeneous wedge with varying Poisson's ratio," J. Appl. Math. Mech. 80 (5), 433-438 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
5 |
Pages |
433-438 |
| DOI |
10.1016/j.jappmathmech.2017.02.010 |
| Title |
The elastic equilibrium of an inhomogeneous wedge with varying Poisson's ratio |
| Author(s) |
D.A. Pozharskii (Don State Technical University, Rostov-on-Don, Russia, pozharda@rambler.ru) |
| Abstract |
A system of two elastic equilibrium differential equations is studied in polar coordinates when Poisson's ratio is an arbitrary sufficiently smooth function of an angular coordinate and the shear modulus is constant. The elasticity modulus is also found to depend on the angular coordinate in this case. A general representation of the solution is proposed which leads to a vector Laplace equation and a scalar Poisson equation, the right-hand side of which depends on Poisson's ratio. When projected, the vector Laplace equation reduces to an elliptic system of differential equations with constant coefficients. Exact general solutions of the Laplace and Poisson equations are constructed in quadratures using a Mellin integral transformation and the method of variation of arbitrary constants. A contact problem for an inhomogeneous wedge is considered and the stress concentration at the vertex of the wedge is studied. |
| Received |
28 March 2016 |
| Link to Fulltext |
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| << Previous article | Volume 80, Issue 5 / 2016 | Next article >> |
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