A geometrical framework for the statics of materials with microstructure

Reuven Segev (1)

1 Department of Mechanical Engineering [Beer-Sheva]

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: http://www.worldscientific.com/doi/abs/10.1142/S0218202594000480

Domaines: Mécanique [physics.med-ph]

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