Reconstruction of an ellipsoidal defect in anisotropic elastic solid, using results of one static test
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Publication:5244932
DOI10.1080/17415977.2012.738677zbMath1308.74026OpenAlexW1993698351MaRDI QIDQ5244932
Efim I. Shifrin, Pavel S. Shushpannikov
Publication date: 1 April 2015
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2012.738677
Classical linear elasticity (74B05) Inverse problems in equilibrium solid mechanics (74G75) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Related Items (4)
Defect detection using Cauchy data on a part of outer boundary of an elastic body ⋮ Solution for the geometric elastostatic inverse problem by means of not completely overdetermined boundary data ⋮ Identification of multiple cracks in 2D elasticity by means of the reciprocity principle and cluster analysis ⋮ Unnamed Item
Cites Work
- Symmetry properties of the reciprocity gap functional in the linear elasticity
- Detecting rigid inclusions, or cavities, in an elastic body
- Defect identification in 3-D elastostatics using a genetic algorithm
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Application of invariant integrals to the problems of defect identification
- Dependence of a crack growth path on the elastic moduli of an anisotropic solid
- Somigliana dislocations and internal stresses: With application to second phase hardening
- Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
- Reconstruction of small inhomogeneities from boundary measurements
- Identification of an ellipsoidal defect in an elastic solid using boundary measurements
- Evaluating the volume of a hidden inclusion in an elastic body
- Direct Elastic Imaging of a Small Inclusion
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Identification of a spheroidal defect in an elastic solid using a reciprocity gap functional
- Reciprocity principle and crack identification
- A semi-explicit algorithm for the reconstruction of 3D planar cracks
- Identification of elastic inclusions and elastic moment tensors by boundary measurements
- An inverse source problem in potential analysis
- Identification of planar cracks by complete overdetermined data: inversion formulae
- Cavity identification in linear elasticity and thermoelasticity
- Inverse source problem in an anisotropic medium by boundary measurements
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