Continuum theory of dislocations and disclinations in nonlinearly elastic micropolar media |
| |
Authors: | L M Zubov |
| |
Institution: | 1.South Federal University,Rostov-on-Don,Russia |
| |
Abstract: | A nonlinear theory of continuously distributed dislocation and disclination type defects in elastic media with intrinsic rotational
degrees of freedom and couple stresses is proposed. The mediumstrains are assumed to be finite. The solving equations of the
continuum theory of defects are obtained by passing to the limit from a discrete set of isolated dislocations and disclinations
to their continuous distribution. The notions of dislocation and disclination densities in a micropolar body under large deformations
are introduced. Incompatibility equations are obtained and a boundaryvalue problem of equilibriumis posed for an elastic micropolar
body with a given density of distributed defects. A nonlinear problem of determining the intrinsic stresses in a hollow circular
cylinder due to a given distribution of disclinations is solved. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |