Numerical and experimental analyses of singular electro-elastic fields around a V-shaped notch tip in piezoelectric materials

摘要

A super V-shaped notch tip element that simulates electro-elastic behavior near a V-shaped notch tip is first developed based on one-dimensional finite element eigensolutions. The present element is then incorporated with standard four-node hybrid electro-elastic field elements to calculate electro-elastic singularity orders, singular strain distributions and generalized stress intensity factors ahead of V-shaped notch tips in three-point-bending piezoelectric specimens with notch angles alpha = 0 deg, 30 deg, 60 deg and 90 deg, respectively. The present numerical solutions are compared with those obtained from the moire interferometry experiment technique. Finally, the effect of the V-shaped notch angle and electric field on singular electro-elastic fields is also discussed.