On the estimation of the sensitivity of the coefficients of models for inhomogeneous solids

DOI10.3103/s0025654422601768zbMath1526.74022OpenAlexW4384208964MaRDI QIDQ6116622

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

Publication date: 18 July 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654422601768

zbMATH Keywords

iterative algorithminverse problemweak formulationdensityboundary value problemFréchet derivativeTikhonov regularization methodLame coefficientcylindrical rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Inverse problems in equilibrium solid mechanics (74G75)

Cites Work

• Unnamed Item
• Inverse problems in vibrations.
• Identification of the Lamé parameters of an inhomogeneous pipe based on the displacement field data
• An Introduction to Inverse Problems with Applications
• Inverse problems in elasticity
• On the reconstruction of material properties of a radially inhomogeneous cylindrical waveguide
• Concerning an approach to identifying the Lamé parameters of an elastic functionally graded cylinder
• Applications of functional analysis and operator theory

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