A GEOMETRICAL FRAMEWORK FOR THE STATICS OF MATERIALS WITH MICROSTRUCTURE

Authors
SEGEV R
Citation
R. Segev, A GEOMETRICAL FRAMEWORK FOR THE STATICS OF MATERIALS WITH MICROSTRUCTURE, Mathematical models and methods in applied sciences, 4(6), 1994, pp. 871-897
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
4
Issue
6
Year of publication
1994
Pages
871 - 897
Database
ISI
SICI code
0218-2025(1994)4:6<871:AGFFTS>2.0.ZU;2-H
Abstract
A geometrical framework for the formulations of the invariant mechanic al theories of materials with microstructure is presented. The suggest ed framework is based on the construction of an infinite-dimensional m anifold containing the configurations of the body. Each configuration includes both the macro- and the micro-states of the body. The notions of forces, stresses, balance laws and latent microstructure are discu ssed. Liquid crystals are used as an example.