Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media

DOI10.1007/s10659-005-9023-3zbMath1138.74338OpenAlexW1991374725MaRDI QIDQ2501081

Anna L. Mazzucato, Lizabeth V. Rachele

Publication date: 4 September 2006

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-005-9023-3

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Inverse problems in equilibrium solid mechanics (74G75) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (12)

Coefficient identification for cubically anisotropic elastic media ⋮ On the linearization of identifying the stored energy function of a hyperelastic material from full knowledge of the displacement field ⋮ Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem ⋮ General relativistic Lagrangian continuum theories. I: Reduced variational principles and junction conditions for hydrodynamics and elasticity ⋮ A geometric theory of growth mechanics ⋮ On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode ⋮ Nonlinear elasticity in a deforming ambient space ⋮ Transformation cloaking in elastic plates ⋮ Line and point defects in nonlinear anisotropic solids ⋮ On Transversely Isotropic Elastic Media with Ellipsoidal Slowness Surfaces ⋮ Nonlinear and linear elastodynamic transformation cloaking ⋮ A geometric theory of thermal stresses

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