Material voids in elastic solids with anisotropic surface energies
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Publication:651331
DOI10.1016/j.matpur.2011.07.003zbMath1285.74003OpenAlexW2098373916MaRDI QIDQ651331
Nicola Fusco, Irene Fonseca, Vincent Millot, Giovanni Leoni
Publication date: 12 December 2011
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2011.07.003
Classical linear elasticity (74B05) Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (15)
From atomistic systems to linearized continuum models for elastic materials with voids ⋮ The surface diffusion flow with elasticity in the plane ⋮ Derivation of a heteroepitaxial thin-film model ⋮ Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity ⋮ On the Gamma convergence of functionals defined over pairs of measures and energy-measures ⋮ The surface diffusion flow with elasticity in three dimensions ⋮ Two-phase models for elastic membranes with soft inclusions ⋮ Shapes of epitaxially grown quantum dots ⋮ Equilibria configurations for epitaxial crystal growth with adatoms ⋮ Equilibria and dislocations in epitaxial growth ⋮ Equilibrium configurations of epitaxially strained elastic films: second-order minimality conditions and qualitative properties of solutions ⋮ Motion of elastic thin films by anisotropic surface diffusion with curvature regularization ⋮ Analytical validation of the Young–Dupré law for epitaxially-strained thin films ⋮ Surface evolution of elastically stressed films ⋮ A unified model for stress-driven rearrangement instabilities
Cites Work
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- Equilibrium configurations of epitaxially strained elastic films: second-order minimality conditions and qualitative properties of solutions
- A mass transportation approach to quantitative isoperimetric inequalities
- Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
- \(C^\infty\) regularity of the free boundary for a two-dimensional optimal compliance problem
- Evolution of material voids for highly anisotropic surface energy
- On the regularity of edges in image segmentation
- The cone over the Clifford torus in \(R^ 4\) is \(\Phi\)-minimizing
- Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results
- Regularity results for boundaries in \(\mathbb R^2\) with prescribed anisotropic curvature
- Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films
- Simple proofs of some results of Reshetnyak
- On the Surface Stability of a Spherical Void Embedded in a Stressed Matrix
- The Realization of small Distances in Plane Sets of Positive Measure
- A uniqueness proof for the Wulff Theorem
- Some regularity results for minimal crystals
- The Brunn-Minkowski inequality
- Mass-conserved morphological evolution of hypocycloid cavities: a model of diffusive crack initiation with no associated energy barrier
- The Wulff theorem revisited
- A relaxation result for energies defined on pairs set-function and applications
- Interaction of a Bulk and a Surface Energy with a Geometrical Constraint
- Crystalline variational methods
- Some Theorems on the Free Energies of Crystal Surfaces
- Semicontinuity problems in the calculus of variations
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