@inproceedings{bb695ce3e4034325979320c014204e88,

title = "Manifolds in a theory of microstructures",

abstract = "A synopsis, broadly based on contributions by Capriz and co-workers, is presented of a model for a body with microstructure that employs the Cartesian product of a Euclidean space (a fit set part of which is instantaneously occupied by the gross image of the body) and a Riemannian manifold each of whose members specifies a microstructure. Motivation is provided by known special theories. Macro and micro kinetic energy, kinetic coenergy, and inertia are discussed preparatory to the derivation of the governing nonlinear partial differential equations from the Lagrangian action principle, Noether{\textquoteright}a theorem, and a Hamiltonian formulation. Precise mathematical specification of initial and boundary conditions remains fragmentary.",

author = "G. Capriz and Knops, {R. J.}",

year = "2015",

doi = "10.1007/978-3-319-18573-6_6",

language = "English",

isbn = "978-3-319-18572-9",

volume = "3",

series = "Springer Proceedings in Mathematics & Statistics",

publisher = "Springer International Publishing",

pages = "167--201",

editor = "Chen, { Gui-Qiang G.} and Michael Grinfeld and Knops, {R. J.}",

booktitle = "Differential Geometry and Continuum Mechanics",

address = "Switzerland",

note = "Differential Geometry and Continuum Mechanics 2013 ; Conference date: 17-06-2013 Through 21-06-2013",

}