On the Numerical Solution of One-Dimensional Continuum Problems Using the Theory of a Cosserat Point

[+] Author and Article Information
M. B. Rubin

Technion-Israel Institute of Technology, Haifa, Israel

J. Appl. Mech 52(2), 373-378 (Jun 01, 1985) (6 pages) doi:10.1115/1.3169056 History: Received November 01, 1983; Revised April 01, 1984; Online July 21, 2009


The theory of a Cosserat point is specialized to describe the motion of a one-dimensional continuum. Attention is focused on two problems of an elastic bar. Vibration of a linear-elastic bar is considered in the first problem and static deformation of a nonlinear-elastic bar subjected to a uniform body force is considered in the second problem. A closed-form solution is derived for each problem by dividing the bar into two elements, each of which is modeled as a Cosserat point. The predictions of the two-element approximation are shown to be very accurate.

Copyright © 1985 by ASME
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