Uniqueness of the interior plane strain time-harmonic viscoelastic inverse problem

DOI10.1016/j.jmps.2016.03.018zbMath1482.74045OpenAlexW2320736595MaRDI QIDQ2119140

Paul E. Barbone, Yixiao Zhang, Assad A. Oberai, Isaac Harari

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmps.2016.03.018

Mathematics Subject Classification ID

Inverse problems in equilibrium solid mechanics (74G75) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

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• Uniqueness of inverse problems of isotropic incompressible three-dimensional elasticity
• Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity
• Solution of the time-harmonic viscoelastic inverse problem with interior data in two dimensions
• Calculating tissue shear modulus and pressure by 2D log-elastographic methods
• Unique identifiability of elastic parameters from time-dependent interior displacement measurement
• Elastic modulus imaging: on the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions
• Log-elastographic and non-marching full inversion schemes for shear modulus recovery from single frequency elastographic data
• Adjoint‐weighted variational formulation for the direct solution of inverse problems of general linear elasticity with full interior data
• Adjoint-weighted variational formulation for a direct computational solution of an inverse heat conduction problem

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