Boundary influence on the fields and arrangement of the needle domains in barium titanate single crystals

The superposition theory is adopted to study the boundary value problem of needle domains in barium titanate single crystals, which decomposes into an infinite-medium solution and a complementary solution. model equivalent edge dislocation line charge calculate fields due discrete infinite medium. solutions are obtained from linear elastic using finite element method. influence boundaries on arrangement needles thin crystals analysed, by considering traction-free plane stress approximation. According principle minimum potential energy, it found that pairs parallel can be stabilized if effective associated with tips reduced 48% material’s full polarization charge. evolution comb-like arrays under compressive mechanical load simulated, results qualitatively similar experimental observations have not previously been explained theoretically.