Application of the reciprocity principle for the determination of planar cracks in piezoelectric material

Abstract

This paper provides an extension of the reciprocity gap approach for crack detection from electrostatics [1], isotropic [2] and anisotropic linear elasticity [18] to piezoelectric materials. We show unique and stable identifiability of the crack plane fromone or two pairs of appropriate Dirichlet-Neumann data and illustrate the approach by numerical tests with simulated data obtained by adaptive finite element computations. © 2013 Springer-Verlag Berlin Heidelberg.