Dual Eshelby stress tensors and related integrals in micropolar elasticity with body forces and couples

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• 作者：Vlado A. Lubarda^a ; ^b ; ^{vlubarda@ucsd.edu}
• 关键词：Body couples ; Configurational forces ; Conservation integrals ; Dual integrals ; Eshelby stress tensor ; Micropolar elasticity
• 刊名：European Journal of Mechanics - A/Solids
• 出版年：2012
• 期刊代码：56_09977538
• 类别：et
• 出版时间：November-December, 2012
• 卷：36
• 期：Complete
• 页码：9-17
• 文件大小：263 K

摘要

The Eshelby stress tensor of micropolar elasticity with body forces and body couples, and the corresponding J_k, L_k 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 , and integrals are then introduced. The duality properties , and 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.