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.
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June 1985
Research Papers
On the Theory of a Cosserat Point and Its Application to the Numerical Solution of Continuum Problems
M. B. Rubin
M. B. Rubin
Technion-Israel Institute of Technology, Haifa, Israel
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M. B. Rubin
Technion-Israel Institute of Technology, Haifa, Israel
J. Appl. Mech. Jun 1985, 52(2): 368-372 (5 pages)
Published Online: June 1, 1985
Article history
Received:
November 1, 1983
Revised:
April 1, 1984
Online:
July 21, 2009
Citation
Rubin, M. B. (June 1, 1985). "On the Theory of a Cosserat Point and Its Application to the Numerical Solution of Continuum Problems." ASME. J. Appl. Mech. June 1985; 52(2): 368–372. https://doi.org/10.1115/1.3169055
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