Energy Scaling of Compressed Elastic Films -Three-Dimensional Elasticity¶and Reduced Theories
Data up to Jan 2025
Total Citations Per Year
Abstract
References (32)
A treatise on the mathematical theory of elasticity
1892 • 7,577 citations
Theory of elasticity
1951 • 6,065 citations
A theorem on geometric rigidity and the derivation of nonlinear plate theory from three‐dimensional elasticity
2002 • 758 citations
Variational models for microstructure and phase transitions
1999 • 545 citations
Scaling Properties of Stretching Ridges in a Crumpled Elastic Sheet
1995 • 375 citations
Surface energy and microstructure in coherent phase transitions
1994 • 249 citations
Delamination of Compressed Thin Films
1997 • 247 citations
Branching of twins near an austenite—twinned-martensite interface
1992 • 236 citations
Stability of Straight Delamination Blisters
1999 • 209 citations
Conical dislocations in crumpling
1999 • 201 citations
Theory of plates
1997 • 195 citations
The Membrane Shell Model in Nonlinear Elasticity: A Variational Asymptotic Derivation
2000 • 157 citations
Singular Perturbation and the Energy of Folds
2000 • 145 citations
Boundary layer analysis of the ridge singularity in a thin plate
1996 • 140 citations
The morphology and folding patterns of buckling-driven thin-film blisters
1994 • 133 citations
A compactness result in the gradient theory of phase transitions
2001 • 120 citations
Line energies for gradient vector fields in the plane
1999 • 103 citations
Branched microstructures: Scaling and asymptotic self-similarity
2000 • 102 citations
Stress Condensation in Crushed Elastic Manifolds
1997 • 96 citations
Rigorous derivation of nonlinear plate theory and geometric rigidity
2002 • 82 citations
A mathematical problem related to the physical theory of liquid crystal configurations
1987 • 81 citations
On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
1999 • 81 citations
Rigorous Bounds for the Föppl—von Kármán Theory of Isotropically Compressed Plates
2000 • 70 citations
Energy estimates for the von Kármán model of thin-film blistering
2001 • 70 citations
Remarks about Equilibrium Configurations of Crystals
1987 • 44 citations
Une justification partielle du modèle de plaque en flexion par -convergence
2001 • 34 citations
Mode-dependent toughness and the delamination of compressed thin films
2000 • 33 citations
Buckling of thin plates in the weakly and strongly nonlinear regimes
1998 • 19 citations
Electron beam defined delamination and ablation of carbon-diamond thin films on silicon
1990 • 16 citations
In-plane displacements in thin-film blistering
2002 • 16 citations
Plaques très comprimées
1997 • 11 citations
Deleted Work
1955 • 0 citations