This article is cited in 8 papers

Specific features of solving the problem of compression of an orthotropic plastic material between rotating plates

S. E. Aleksandrov

Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia

Abstract: An instantaneous flow with compression of a wedge-shaped layer of a rigid-plastic orthotropic material between rotating plates is considered under the assumption that the principal axes of anisotropy are rays emanating from the wedge angle and lines orthogonal to them and that the maximum friction law is valid on the plate surfaces. The solution is reduced to quadratures, and its asymptotic analysis is performed. It is found that the solution is singular near the friction surface in the general case, and conditions at which the singularity disappears are given. It is demonstrated that a rigid area can arise near the friction surface. The behavior of the resultant solution near the friction surfaces is compared with the behavior of known solutions for other models of rigid-plastic materials.

Keywords: singularity, friction, analytical solution, plastic anisotropy.

UDC: 539.374

Received: 14.10.2008

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:5, 886–890

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