A GEOMETRICAL FRAMEWORK FOR THE STATICS OF MATERIALS WITH MICROSTRUCTURE

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Abstract

A geometrical framework for the formulations of the invariant mechanical theories of materials with microstructure is presented. The suggested framework is based on the construction of an infinite-dimensional manifold 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 discussed. Liquid crystals are used as an example.
Original languageEnglish
JournalMathematical Models and Methods in Applied Sciences
Volume4
Issue number6
DOIs
StatePublished - 1 Dec 1994

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