Identification of the shape of the inclusion in the anisotropic elastic body

DOI10.1080/00036819908840727zbMath1107.74311OpenAlexW2055961369WikidataQ58305198 ScholiaQ58305198MaRDI QIDQ4779943

Gen Nakamura, Kazumi Tanuma, Masaru Ikehata

Publication date: 29 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840727

Mathematics Subject Classification ID

Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for PDEs (35R30)

Related Items (13)

Complex geometrical optics solutions for anisotropic equations and applications ⋮ Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition ⋮ Robust obstacle reconstruction in an elastic medium ⋮ A boundary element method for the numerical inversion of discontinuous anisotropic conductivities. ⋮ Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ Reconstruction of cracks in an inhomogeneous anisotropic elastic medium. ⋮ Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems ⋮ Complex geometrical optics solutions for anisotropic equations and applications ⋮ Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems ⋮ Recovery of multiple obstacles by probe method ⋮ Unification of the Probe and Singular Sources Methods for the Inverse Boundary Value Problem by the No-Response Test ⋮ Shape reconstruction in linear elasticity: standard and linearized monotonicity method

Cites Work

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• Global uniqueness for an inverse boundary problem arising in elasticity
• Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
• An Inverse Problem for the Plate in the Love–Kirchhoff Theory
• Determining conductivity by boundary measurements II. Interior results
• On uniqueness of recovery of a discontinuous conductivity coefficient
• Size estimation of inclusion
• Identification of Lame Parameters by Boundary Measurements
• A formula for the fundamental solution of anisotropic elasticity

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