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

  • Peter Steinhorst
  • Barbara Kaltenbacher
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 66)


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.


Outer Boundary Piezoelectric Material Load Case LIPSCHITZ Domain Elastic Case 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institut für MathematikAlpen-Adria-Universität KlagenfurtKlagenfurtAustria

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