Atomistic to Continuum limits for computational materials science

Author:

Blanc Xavier,Le Bris Claude,Lions Pierre-Louis

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference140 articles.

1. A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth

2. M. Anitescu, D. Negrut, P. Zapol and A. El-Azab,A note on the regularity of reduced models obtained by nonlocal quasi-continuum-like approach. Technical report ANL/MCS-P1303-1105, Argonne National Laboratory, Argonne, Illinois (2005). Available at http://www-unix.mcs.anl.gov/~anitescu/PUBLICATIONS/quasicont.pdf.

3. N. Antonic, C.J. van Duijn, W. Jäger and A. Mikelic,Multiscale problems in science and technology. Challenges to mathematical analysis and perspectives. Springer (2002).

4. Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids

5. A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes

Cited by 49 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Discrete-to-continuum limits of interacting particle systems in one dimension with collisions;Journal of Mathematical Analysis and Applications;2024-11

2. From clusters of moving molecules to continua: Material elements as open systems;European Journal of Mechanics - A/Solids;2024-07

3. Discrete-to-continuum linearization in atomistic dynamics;Discrete and Continuous Dynamical Systems;2024

4. A continuum model for brittle nanowires derived from an atomistic description by $$\Gamma $$-convergence;Calculus of Variations and Partial Differential Equations;2023-10-06

5. Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures;Archive for Rational Mechanics and Analysis;2023-04

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3