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A geometrical framework for the statics of materials with microstructure

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. Read More:
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Contributor : Christian Cardillo <>
Submitted on : Friday, March 7, 2014 - 12:27:11 PM
Last modification on : Monday, July 22, 2019 - 11:46:01 AM
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  • HAL Id : hal-00956474, version 1


Reuven Segev. A geometrical framework for the statics of materials with microstructure. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 1994, 4 (6), 27 p. ⟨hal-00956474⟩



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