Vol. 6, No. 1-4, 2011

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Media with semiholonomic internal structure

Marcelo Epstein

Vol. 6 (2011), No. 1-4, 169–179
Abstract

The notions of semiholonomic and quasiholonomic Cosserat media are introduced and their differences outlined. Contrary to the classical holonomic and nonholonomic counterparts, the definition of semi and quasiholonomic media is not kinematic but constitutive. Possible applications include granular media embedded in a rigid matrix and colloidal suspensions in an ideal incompressible fluid.

This article is dedicated to the memory of Marie-Louise Steele.

Keywords
micromorphic nonholonomic media, Cosserat symmetries, colloids, semiholonomic jets, quasiholonomic Cosserat media, macromedium, micromedium
Milestones
Received: 10 June 2010
Revised: 11 September 2010
Accepted: 28 September 2010
Published: 28 June 2011
Authors
Marcelo Epstein
Department of Mechanical and Manufacturing Engineering
University of Calgary
2500 University Drive NW
Calgary, AB  T2N 1N4
Canada
http://www.ucalgary.ca/hpl/epstein