Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
772529 | European Journal of Mechanics - A/Solids | 2012 | 9 Pages |
The Eshelby stress tensor of micropolar elasticity with body forces and body couples, and the corresponding Jk, Lk and M integrals are derived. These are used to determine the energy release rates and configurational forces associated with particular modes of defect motion. The dual Eshelby stress tensor and dual J^k, L^k and M^ integrals are then introduced. The duality properties Jk+J^k=0, Lk+L^k=0 and M+M^=0 are established and used to construct alternative expressions for the configurational forces on moving defects. The three-dimensional results are specialized to the plain strain case and compared with earlier results obtained in the absence of body forces and body couples, which are of interest for two-dimensional dislocation and fracture mechanics problems.
► The Eshelby stress of micropolar elasticity with body forces and couples. ► Dual energy release rates and configurational forces are derived. ► Dual J, L and M integrals are derived.