Disclination model applied to elastic incompatibility at grain boundary triple line (Application of finite element model of disclination)

Abstract

We examined the stress concentration that would occur at grain boundary triple lines during deformation in two copper tricrystals with [011] tilt boundaries; one was a symmetrical tricrystal with respect to the loading axis and the other was an anti-symmetrical one. In principle, the finite element method can provide solutions with prescribed amount of precision for the anisotropic elasticity problem. It was shown that a close approximation was possible by means of a disclination model in elastically homogeneous material. This disclination model was numerically solved with the finite element method proposed in a previous paper (Hosoya, Kato, Sasaki, Trans. JSME, Vol.80, No.819 (2014 ). It was concluded that the disclination model is appropriate for estimating the stress concentration at the grain boundary triple lines in deformed polycrystals.

Keywords

• stress concentration
• disclination
• dislocation
• elasticity
• non-uniform deformation
• isotoropy
• anisotoropy
• tricrystal
• grain boundary triple line
• finite element method