On the frictional behaviour of thermally loaded beams resting on a plane

doi:10.1016/0020-7403(96)00009-4

International Journal of Mechanical Sciences

Volume 38, Issue 11, November 1996, Pages 1219-1229

https://doi.org/10.1016/0020-7403(96)00009-4 Get rights and content

Abstract

The problem of an elastic beam resting on a frictional surface and loaded by a uniform temperature moment is treated analytically and numerically. The introduction of proper non-dimensional parameters identifies the deformation pattern which varies with monotonically increasing temperature load in a self-similar manner. This fact reduces the complexity of the mathematical system considerably and offers the derivation of the solution on an analytical basis. Several approaches are described, discussed and compared against each other. This problem is typical for a broader class of problems involving Coulomb friction in beam deformation. In addition to the fact that it is interesting from the structural as well as from the mathematical points of view, it is of practical importance, for example in the simulation of the cooling processes of hot rolled railway rails.

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There are more references available in the full text version of this article.

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On the frictional behaviour of thermally loaded beams resting on a plane

Abstract

Int. J. Numer Meth. Engng

The thermally loaded heavy beam on a rough surface

A computational study of the residual stress distribution in thermally loaded beams of arbitrary cross-section on frictional support

Bending of a beam on a rough surface

Dokl. Ak. Nauk.

Sov. Phys. Dokl.

Recent developments in the numerical solution of differential/algebraic systems

Comp. Meth. Appl. Mech. Engng