Application of the Reciprocity Principle for the Determination of Planar Cracks in Piezoelectric Material

Barbara Kaltenbacher^* and Peter Steinhorst

In this talk we provide an extension of the reciprocity gap approach for crack detection from electrostatics, isotropic and anisotropic linear elasticity to piezoelectric materials. We show unique and stable identifiability of the crack plane from one or two pairs of appropriate Dirichlet-Neumann data and illustrate the approach by numerical tests with simulated data obtained by adaptive finite element computations.

Mathematics Subject Classification: 35R30

Keywords: nondestructive testing; crack detection; reciprocity principle

Minisymposion: Inverse Problems in Elasticity