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):

Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model

T. Hudson and C. Ortner
SIAM Journal on Mathematical Analysis 47 (1) 291 (2015)
DOI: 10.1137/140964436
See this article

You Xie, Huiqi Mao, Angela Yao and Nils Thuerey
3440 (2022)
DOI: 10.1109/CVPR52688.2022.00344
See this article

Connecting Atomistic and Continuous Models of Elastodynamics

Julian Braun
Archive for Rational Mechanics and Analysis 224 (3) 907 (2017)
DOI: 10.1007/s00205-017-1091-6
See this article

Crystallization in Carbon Nanostructures

Edoardo Mainini and Ulisse Stefanelli
Communications in Mathematical Physics 328 (2) 545 (2014)
DOI: 10.1007/s00220-014-1981-5
See this article

Surface energies arising in microscopic modeling of martensitic transformations

Georgy Kitavtsev, Stephan Luckhaus and Angkana Rüland
Mathematical Models and Methods in Applied Sciences 25 (04) 647 (2015)
DOI: 10.1142/S0218202515500153
See this article

Asymptotic analysis of microscopic impenetrability constraints for atomistic systems

A. Braides and M.S. Gelli
Journal of the Mechanics and Physics of Solids 96 235 (2016)
DOI: 10.1016/j.jmps.2016.07.016
See this article

Existence and convergence of solutions of the boundary value problem in atomistic and continuum nonlinear elasticity theory

Julian Braun and Bernd Schmidt
Calculus of Variations and Partial Differential Equations 55 (5) (2016)
DOI: 10.1007/s00526-016-1048-x
See this article

Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D

Andrew J. Binder, Mitchell Luskin and Christoph Ortner
Multiscale Modeling & Simulation 15 (2) 892 (2017)
DOI: 10.1137/16M1065884
See this article

Atomistic modelling of near-crack-tip plasticity *

Maciej Buze
Nonlinearity 34 (7) 4503 (2021)
DOI: 10.1088/1361-6544/abf33c
See this article

Continuum surface energy from a lattice model

Phoebus Rosakis
Networks & Heterogeneous Media 9 (3) 453 (2014)
DOI: 10.3934/nhm.2014.9.453
See this article

Analysis of an atomistic model for anti-plane fracture

Maciej Buze, Thomas Hudson and Christoph Ortner
Mathematical Models and Methods in Applied Sciences 29 (13) 2469 (2019)
DOI: 10.1142/S0218202519500520
See this article

Maximal Fluctuations Around the Wulff Shape for Edge-Isoperimetric Sets in $$\varvec{{\mathbb {Z}}^d}$$: A Sharp Scaling Law

Edoardo Mainini and Bernd Schmidt
Communications in Mathematical Physics 380 (2) 947 (2020)
DOI: 10.1007/s00220-020-03879-x
See this article

Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: A one-dimensional prototypical case

Andrea Braides and Margherita Solci
Mathematics and Mechanics of Solids 21 (8) 915 (2016)
DOI: 10.1177/1081286514544780
See this article

An analysis of the boundary layer in the 1D surface Cauchy–Born model

Kavinda Jayawardana, Christelle Mordacq, Christoph Ortner and Harold S. Park
ESAIM: Mathematical Modelling and Numerical Analysis 47 (1) 109 (2013)
DOI: 10.1051/m2an/2012021
See this article

Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems

Andrea Braides and Maria Stella Gelli
ESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1903 (2017)
DOI: 10.1051/m2an/2017011
See this article