Defects in gradient micropolar elasticity—II: edge dislocation and wedge disclination |
| |
Authors: | Markus Lazar Gérard A Maugin |
| |
Institution: | Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, 4 Place Jussieu, Case 162, F-75252 Paris Cedex 05, France |
| |
Abstract: | A theory of gradient micropolar elasticity based on first gradients of distortion and bend-twist tensors for an isotropic micropolar medium has been proposed in Part I of this paper. Gradient micropolar elasticity is an extension of micropolar elasticity such that in addition to double stresses double couple stresses also appear. The strain energy depends on the micropolar distortion and bend-twist terms as well as on distortion and bend-twist gradients. We use a version of this gradient theory which can be connected to Eringen's nonlocal micropolar elasticity. The theory is used to study a straight-edge dislocation and a straight-wedge disclination. As one important result, we obtained nonsingular expressions for the force and couple stresses. For the edge dislocation the components of the force stress have extremum values near the dislocation line and those of the couple stress have extremum values at the dislocation line and for the wedge disclination the components of the force stress have extremum values at the disclination line and those of the couple stress have extremum values near the disclination line. |
| |
Keywords: | Gradient theory Micropolar elasticity Dislocation Disclination |
本文献已被 ScienceDirect 等数据库收录! |