A GAUGE-THEORY OF DEFECTS IN MEDIA WITH MICROSTRUCTURE Academic Article

abstract

• The Yang-Mills minimal replacement and minimal coupling constructs for a semisimple Lie group are extended to the non-semisimple internal symmetry group of a medium with microstructure. The microstructure is modeled in the medium by a set of deformable vector fields. The internal symmetry associated with global transformations of the vector fields becomes local through the introduction of compensating gauge potentials (gauge connection) by minimal replacement. Covariant torsion and curvature quantities formed by derivatives of the gauge potentials correspond to defect densities and currents admitted by the vector fields. The local internal symmetry group is finally broken down to its subgroup SO(3) T(3) allowing thus for the existence of conservation laws of linear and angular momentum. 1989.

authors

• Lagoudas, Dimitris

published proceedings

• INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

altmetric score

• 0.25

author list (cited authors)

• LAGOUDAS, D. C.

citation count

• 9

complete list of authors

• LAGOUDAS, DC

publication date

• January 1989

publisher

• Elsevier  Publisher

published in

• International Journal of Engineering Science  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 51 Physical Sciences

Digital Object Identifier (DOI)

• 10.1016/0020-7225(89)90112-2

start page

• 237

end page

• 249

volume

• 27

issue

• 3

URL

• http://dx.doi.org/10.1016/0020-7225(89)90112-2