Title of article :
Conservation integrals for the interfacial crack in bimaterial and layered ferroelectrics
Author/Authors :
Xia، نويسنده , , Xiaodong and Zhong، نويسنده , , Zheng، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2015
Abstract :
This paper focuses on establishing conservation integrals for nonlinear bimaterial and layered ferroelectrics. Employing the infinitesimal transformation, we obtain the invariant condition for ferroelectrics in the sense of Noether’s theorem. A revised J ̃ i -vector path-independent integral is achieved for homogeneous ferroelectrics both in the global and local coordinate systems. The path-independence of revised J ̃ 1 -integral in bimaterial and layered ferroelectrics is demonstrated, with different electric crack surface conditions considered. Moreover, the crack-tip J ̃ 1 -integral can be interpreted as energy release rate. Numerical simulations in layered ferroelectrics are presented to show characteristics of conservation integrals with respect to layer thickness and combined external loading.
Keywords :
Conservation law , Ferroelectric , Interfacial crack , Noether’s theorem
Journal title :
ENGINEERING FRACTURE MECHANICS
Journal title :
ENGINEERING FRACTURE MECHANICS