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

DOI10.1007/978-3-642-30316-6_15zbMath1442.74215OpenAlexW160018420MaRDI QIDQ4915481

Peter Steinhorst, Barbara Kaltenbacher

Publication date: 10 April 2013

Published in: Advanced Finite Element Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-30316-6_15

zbMATH Keywords

inverse problemfinite element methoduniquenessDirichlet-Neumann boundary data

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) Inverse problems in equilibrium solid mechanics (74G75)

Related Items (2)

Planar crack identification in 3D linear elasticity by the reciprocity gap method ⋮ Crack identification with incomplete boundary data in linear elasticity by the reciprocity gap method

Cites Work

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• Combined analytical and numerical solution of 2D interface corner configurations between dissimilar piezoelectric materials
• Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes
• Reciprocity principle for the detection of planar cracks in anisotropic elastic material
• Reciprocity principle and crack identification
• A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
• Boundary Concentrated Finite Element Methods
• Identification of planar cracks by complete overdetermined data: inversion formulae

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