BOUNDARY TRACTIONS IN THE GAUGE-THEORY OF DISLOCATIONS AND DISCLINATIONS Academic Article

abstract

• A null Lagrangian is added to the Lagrangian of Elasticity in order to include boundary tractions and initial values for the linear momentum. The Yang-Mills minimal replacement construct is then applied, in order to restore the invariance of the Lagrangian under the inhomogeneous action of the gauge group SO(3) T(3). This results in the introduction of compensating fields, which describe defects in elastic materials. The field equations show that dislocations are driven by appropriately defined effective stresses and linear momenta, and disclinations are driven by effective couplestresses and angular momenta. 1986.

authors

• Lagoudas, Dimitris

published proceedings

• INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

author list (cited authors)

• LAGOUDAS, D. C.

citation count

• 1

complete list of authors

• LAGOUDAS, DC

publication date

• January 1986

publisher

• Elsevier  Publisher

published in

• International Journal of Engineering Science  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 51 Physical Sciences
• 5107 Particle And High Energy Physics

Digital Object Identifier (DOI)

• 10.1016/0020-7225(86)90025-X

start page

• 933

end page

• 937

volume

• 24

issue

• 6

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0020-7225%2886%2990025-x