Piezoelectric cracked finite solids under time-harmonic loading

The time-harmonic behavior of cracked finite piezoelectric 2D solids is studied. Plane strain and generalized traction free boundary conditions along the crack are assumed. The system may be loaded at the external boundary by arbitrary mechanical and/or electrical loads. As numerical example a center cracked rectangular piezoelectric plate under uniform axial time-harmonic tension and electrical displacement is investigated. The accuracy of the proposed numerical algorithm is checked by comparison with available results obtained by other methods. Parametric studies revealing the sensitivity of the SIFs to the frequency of the applied mechanical and electrical load, to its coupled and uncoupled character and to the piezoelectric properties of the material are presented. © 2014 Springer International Publishing Switzerland.