A method of determining the elastic properties of inhomogeneous solids

DOI10.1134/S0021894412020150zbMath1298.74113OpenAlexW2062125762MaRDI QIDQ468880

A. O. Vatul'yan, O. V. Denina

Publication date: 10 November 2014

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894412020150

zbMATH Keywords

ill-posed problemelastic moduliFredholm equationsinhomogeneous elastic rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05)

Cites Work

• On the inverse problem of identifying Lamé coefficients in linear elasticity
• Iterative regularization for elliptic inverse problems
• An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
• Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization
• Recovery of the Lamé parameter   in biological tissues
• Unique identifiability of elastic parameters from time-dependent interior displacement measurement
• A Variational Method for Recovering Planar Lamé Moduli
• Parameter identification for elliptic problems
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