Electro-elastostatic analysis of multiple cracks in an infinitely long piezoelectric strip: A hypersingular integral approach

Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space: A semi-analytic solution

“…where U (j) (x) = sin([j + 1] arccos(x))/ sin(arccos(x)) is the j th order Chebyshev polynomial of the second kind and ω (nj) P (s) are unknown coefficients, then (35) can be used to set up a system of linear algebraic equations to determine ω (nj) P (s) for any fixed value of s (Athanasius, Ang and Sridhar [4]).…”

“…In recent years, the problem of determining the electro-elastic fields around cracks in piezoelectric materials has been a subject of considerable interest among many researchers. It appears that the majority of analyses on piezoelectric crack problems (see, for example, Athanasius, Ang and Sridhar [4],…”