Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media
From MaRDI portal
Publication:2501081
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the residual stress possible in an elastic body with material symmetry
- Canonical elastic moduli
- Rigidity for metrics with the same lengths of geodesics
- Determining residual stress from boundary measurements: A linearized approach
- Boundary control and quasiphotons in the problem of reconstruction of a Riemannian manifold via dynamical data
- On the polynomial invariants of the elasticity tensor
- Symmetry classes for elasticity tensors
- Semiglobal boundary rigidity for Riemannian metrics
- Propagation of polarization in elastodynamics with residual stress and travel times
- An inverse problem in elastodynamics: Uniqueness of the wave speeds in the interior
- A covariant constitutive description of anisotropic nonlinear elasticity
- On a unique recovery of lower-order terms in the wave equation from dynamical boundary measurements
- On the determination of residual stress in an elastic body
- Inverse problems for Maxwell's equations
- Tensors which characterize anisotropies
- Two dimensional compact simple Riemannian manifolds are boundary distance rigid
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Layer Stripping for a Transversely Isotropic Elastic Medium
- Boundary identifiability of residual stress via the Dirichlet to Neumann map
- Hartig's law and linear elasticity with initial stress
- Uniqueness of the density in an inverse problem for isotropic elastodynamics
- Unique Continuation for an Elasticity System with Residual Stress and Its Applications
- Uniqueness in Inverse Problems for Elastic Media with Residual Stress
- Uniqueness in inverse problems for an elasticity system with residual stress by a single measurement
- Local boundary rigidity of a compact Riemannian manifold with curvature bounded above
- Boundary determination for an inverse problem in elastodynamics
- Strong unique continuation property for an elasticity system with residual stress
- A Nonuniqueness Theorem for an Inverse Boundary Value Problem in Elasticity
- Boundary rigidity and stability for generic simple metrics
- On the space of Riemannian metrics
- Recovery of residual stress in a vertically heterogeneous elastic medium
- THE TRANSFORMATION TO ISOTROPIC FORM OF THE EQUILIBRIUM EQUATIONS FOR A CLASS OF ANISOTROPIC ELASTIC SOLIDS
- A new proof that the number of linear elastic symmetries is eight
This page was built for publication: Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media
