A sharp-interface limit for a two-well problem in geometrically linear elasticity
From MaRDI portal
Publication:818545
DOI10.1007/s00205-005-0397-yzbMath1083.74022OpenAlexW2023724667MaRDI QIDQ818545
Publication date: 21 March 2006
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-005-0397-y
Classical linear elasticity (74B05) Energy minimization in equilibrium problems in solid mechanics (74G65) Phase transformations in solids (74N99)
Related Items (13)
Surfactants in foam stability: a phase-field model ⋮ On \(\Gamma\)-convergence of a variational model for Lithium-ion batteries ⋮ A two-gradient approach for phase transitions in thin films ⋮ Mathematical and numerical aspects of a phase-field approach to critical nuclei morphology in solids ⋮ On the \(\gamma\)-limit of singular perturbation problems with optimal profiles which are not one-dimensional. II: The lower bound ⋮ A general technique to prove upper bounds for singular perturbation problems ⋮ Integral representation for functionals defined on \(SBD^p\) in dimension two ⋮ \(\Gamma\)-limits of singular perturbation problems involving energies with non-local terms ⋮ On scalar metrics that maximize geodesic distances in the plane ⋮ A Two Well Liouville Theorem ⋮ Microscopic Interfaces in Porous Media ⋮ Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions ⋮ Surface energies arising in microscopic modeling of martensitic transformations
Cites Work
- Singular perturbations of variational problems arising from a two-phase transition model
- Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids
- Fine phase mixtures as minimizers of energy
- Corrections to: Vector-valued local minimizers of nonconvex variational problems
- An introduction to \(\Gamma\)-convergence
- Structure of entropy solutions to the eikonal equation
- Singular perturbation and the energy of folds
- Microstructures with finite surface energy: The two-well problem
- Line energies for gradient vector fields in the plane
- A compactness result in the gradient theory of phase transitions
- The gradient theory of phase transitions for systems with two potential wells
- Local minimisers and singular perturbations
- Large Sets not Containing Images of a Given Sequence
- Nonconvex variational problems with anisotropic perturbations
- Anisotropic singular perturbations—the vectorial case
- Surface energy and microstructure in coherent phase transitions
- Second Order Singular Perturbation Models for Phase Transitions
- A Γ‐convergence result for the two‐gradient theory of phase transitions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A sharp-interface limit for a two-well problem in geometrically linear elasticity