Surface energies in a two-dimensional mass-spring model for crystals
ESAIM: M2AN, 45 5 (2011) 873-899
Published online: 2011-02-23
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Peculiarities of Deformation of Round Thin-Film Membranes and Experimental Determination of Their Effective Characteristics
A. A. Dedkova, P. Yu. Glagolev, E. E. Gusev, N. A. Dyuzhev, V. Yu. Kireev, S. A. Lychev and D. A. TovarnovTechnical Physics 69 (2) 201 (2024)
https://doi.org/10.1134/S1063784224010109
Discrete-to-continuum linearization in atomistic dynamics
Manuel Friedrich, Manuel Seitz and Ulisse StefanelliDiscrete and Continuous Dynamical Systems (2024)
https://doi.org/10.3934/dcds.2024115
3440 (2022)
https://doi.org/10.1109/CVPR52688.2022.00344
Atomistic modelling of near-crack-tip plasticity *
Maciej BuzeNonlinearity 34 (7) 4503 (2021)
https://doi.org/10.1088/1361-6544/abf33c
Maximal Fluctuations Around the Wulff Shape for Edge-Isoperimetric Sets in $$\varvec{{\mathbb {Z}}^d}$$: A Sharp Scaling Law
Edoardo Mainini and Bernd SchmidtCommunications in Mathematical Physics 380 (2) 947 (2020)
https://doi.org/10.1007/s00220-020-03879-x
Analysis of an atomistic model for anti-plane fracture
Maciej Buze, Thomas Hudson and Christoph OrtnerMathematical Models and Methods in Applied Sciences 29 (13) 2469 (2019)
https://doi.org/10.1142/S0218202519500520
Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D
Andrew J. Binder, Mitchell Luskin and Christoph OrtnerMultiscale Modeling & Simulation 15 (2) 892 (2017)
https://doi.org/10.1137/16M1065884
Connecting Atomistic and Continuous Models of Elastodynamics
Julian BraunArchive for Rational Mechanics and Analysis 224 (3) 907 (2017)
https://doi.org/10.1007/s00205-017-1091-6
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems
Andrea Braides and Maria Stella GelliESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1903 (2017)
https://doi.org/10.1051/m2an/2017011
Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: A one-dimensional prototypical case
Andrea Braides and Margherita SolciMathematics and Mechanics of Solids 21 (8) 915 (2016)
https://doi.org/10.1177/1081286514544780
Asymptotic analysis of microscopic impenetrability constraints for atomistic systems
A. Braides and M.S. GelliJournal of the Mechanics and Physics of Solids 96 235 (2016)
https://doi.org/10.1016/j.jmps.2016.07.016
Existence and convergence of solutions of the boundary value problem in atomistic and continuum nonlinear elasticity theory
Julian Braun and Bernd SchmidtCalculus of Variations and Partial Differential Equations 55 (5) (2016)
https://doi.org/10.1007/s00526-016-1048-x
Surface energies arising in microscopic modeling of martensitic transformations
Georgy Kitavtsev, Stephan Luckhaus and Angkana RülandMathematical Models and Methods in Applied Sciences 25 (04) 647 (2015)
https://doi.org/10.1142/S0218202515500153
Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model
T. Hudson and C. OrtnerSIAM Journal on Mathematical Analysis 47 (1) 291 (2015)
https://doi.org/10.1137/140964436
Continuum surface energy from a lattice model
Phoebus RosakisNetworks & Heterogeneous Media 9 (3) 453 (2014)
https://doi.org/10.3934/nhm.2014.9.453
Crystallization in Carbon Nanostructures
Edoardo Mainini and Ulisse StefanelliCommunications in Mathematical Physics 328 (2) 545 (2014)
https://doi.org/10.1007/s00220-014-1981-5
An analysis of the boundary layer in the 1D surface Cauchy–Born model
Kavinda Jayawardana, Christelle Mordacq, Christoph Ortner and Harold S. ParkESAIM: Mathematical Modelling and Numerical Analysis 47 (1) 109 (2013)
https://doi.org/10.1051/m2an/2012021