Published In
Extracta Mathematicae
Document Type
Article
Publication Date
1996
Subjects
Nonholonomic dynamical systems, Elasticity -- Mathematical models, Continuum mechanics
Abstract
Motivated by the theory of uniform elastic structures we try to determine the conditions for the local flatness of locally integrable connections on non-holonomic frame bundles of order 2. Utilizing the results of Yuen as well as our results for the holonomic case, we show that the locally integrable non-holonomic 2-connection is locally flat if, and only if, its projection to the bundle of linear frames is symmetric and the so-called inhomogeneity tensor vanishes. In the last section of this short paper we show how these results can be interpreted in the framework of the theory of uniformity of simple elastic materials with microstructure.
Persistent Identifier
http://archives.pdx.edu/ds/psu/13269
Citation Details
Elźanowski, M. and Preston, S. (1996). On Non-Holonomic Second Order Connections, with Applications to Continua with Microstructure, Extracta Mathematicae 11(1) 51-58.
Description
This is the publisher's final PDF. The article was originally published in Extracta Mathematicae.