Application of invariant integrals to the problems of defect identification
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Publication:933234
DOI10.1007/s10704-007-9125-yzbMath1237.74035OpenAlexW2092649769MaRDI QIDQ933234
Efim I. Shifrin, Robert V. Goldstein, Pavel S. Shushpannikov
Publication date: 21 July 2008
Published in: International Journal of Fracture (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10704-007-9125-y
Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Inverse problems in equilibrium solid mechanics (74G75)
Related Items (13)
Optimal control of rigidity parameters of thin inclusions in composite materials ⋮ 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 ⋮ Symmetry properties of the reciprocity gap functional in the linear elasticity ⋮ On crack propagations in elastic bodies with thin inclusions ⋮ Identification of an ellipsoidal defect in an elastic solid using boundary measurements ⋮ Identification of multiple cracks in 2D elasticity by means of the reciprocity principle and cluster analysis ⋮ On modeling elastic bodies with defects ⋮ Unnamed Item ⋮ Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body ⋮ Rigidity parameter identification for thin inclusions located inside elastic bodies ⋮ Optimal control of a thin rigid inclusion intersecting the boundary of an elastic body ⋮ Reconstruction of an ellipsoidal defect in anisotropic elastic solid, using results of one static test
Cites Work
- Defect identification in 3-D elastostatics using a genetic algorithm
- On the stress-wave imaging of cavities in a semi-infinite solid
- Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
- On a class of conservation laws in linearized and finite elastostatics
- Reciprocity principle and crack identification
- Inverse scattering for elastic plane cracks
- Inverse problems in elasticity
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