Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity
V Crismale, M Friedrich - Archive for Rational Mechanics and Analysis, 2020 - Springer
We extend the results about the existence of minimizers, relaxation, and approximation
proven by Bonnetier and Chambolle (SIAM J Appl Math 62: 1093–1121, 2002), Chambolle …
proven by Bonnetier and Chambolle (SIAM J Appl Math 62: 1093–1121, 2002), Chambolle …
Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces
M Friedrich, L Kreutz, K Zemas - Annales de l'Institut Henri Poincaré C, 2024 - ems.press
We present a quantitative geometric rigidity estimate in dimensions d D 2; 3 generalizing the
celebrated result by Friesecke, James, and Müller [Comm. Pure Appl. Math. 55 (2002), 1461 …
celebrated result by Friesecke, James, and Müller [Comm. Pure Appl. Math. 55 (2002), 1461 …
A scaling law for a model of epitaxially strained elastic films with dislocations
L Abel, J Ginster, B Zwicknagl - arXiv preprint arXiv:2403.13646, 2024 - arxiv.org
A static variational model for shape formation in heteroepitaxial crystal growth is considered.
The energy functional takes into account surface energy, elastic misfit-energy and …
The energy functional takes into account surface energy, elastic misfit-energy and …
Derivation of a heteroepitaxial thin-film model
Derivation of a heteroepitaxial thin-film model Page 1 Interfaces and Free Boundaries 22 (2020),
1–26 DOI 10.4171/IFB/435 Derivation of a heteroepitaxial thin-film model ELISA DAVOLI …
1–26 DOI 10.4171/IFB/435 Derivation of a heteroepitaxial thin-film model ELISA DAVOLI …
The surface diffusion flow with elasticity in three dimensions
The Surface Diffusion Flow with Elasticity in Three Dimensions | SpringerLink Skip to main
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Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization
Short time existence for a surface diffusion evolution equation with curvature regularization
is proved in the context of epitaxially strained three-dimensional films. This is achieved by …
is proved in the context of epitaxially strained three-dimensional films. This is achieved by …
Stability of equilibrium configurations for elastic films in two and three dimensions
M Bonacini - Advances in Calculus of Variations, 2015 - degruyter.com
We establish a local minimality sufficiency criterion, based on the strict positivity of the
second variation, in the context of a variational model for the epitaxial growth of elastic films …
second variation, in the context of a variational model for the epitaxial growth of elastic films …
A model for dislocations in epitaxially strained elastic films
A model for dislocations in epitaxially strained elastic films - ScienceDirect Skip to main
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The surface diffusion flow with elasticity in the plane
The Surface Diffusion Flow with Elasticity in the Plane Page 1 Digital Object Identifier (DOI)
https://doi.org/10.1007/s00220-018-3200-2 Commun. Math. Phys. 362, 571–607 (2018) …
https://doi.org/10.1007/s00220-018-3200-2 Commun. Math. Phys. 362, 571–607 (2018) …
Motion of Islands of Elastic Thin Films in the Dewetting Regime
This paper addresses a two-dimensional sharp interface variational model for solid-state
dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz …
dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz …