On the Theory of a Cosserat Point and Its Application to the Numerical Solution of Continuum Problems

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

Technion-Israel Institute of Technology, Haifa, Israel

J. Appl. Mech 52(2), 368-372 (Jun 01, 1985) (5 pages) doi:10.1115/1.3169055 History: Received November 01, 1983; Revised April 01, 1984; Online July 21, 2009


The theory of a Cosserat point is developed to describe motion of a body that is essentially a material point surrounded by some small volume. The development of this theory is motivated mainly by its applicability to the numerical solution of continuum problems. Attention is confined to the purely mechanical theory and nonlinear balance laws are proposed for Cosserat points with arbitrary constitutive properties. The linearized theory is developed and constitutive equations for an elastic material are discussed within the context of both the nonlinear and linear theories. Explicit constitutive equations for a linear-elastic isotropic Cosserat point are developed to model a parallelepiped composed of a linear-elastic homogeneous isotropic material.

Copyright © 1985 by ASME
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