Orbital-free density functional theory: An attractive electronic structure method for large-scale first-principles simulations

W Mi, K Luo, SB Trickey, M Pavanello - Chemical Reviews, 2023 - ACS Publications
Kohn–Sham Density Functional Theory (KSDFT) is the most widely used electronic structure
method in chemistry, physics, and materials science, with thousands of calculations cited …

A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking

M Cervera, GB Barbat, M Chiumenti, JY Wu - Archives of Computational …, 2022 - Springer
In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

[HTML][HTML] 无网格法的理论及应用

张雄, 刘岩, 马上 - 力学进展, 2009 - lxjz.cstam.org.cn
详细论述了近年来迅速发展的无网格法的理论基础及其在各个领域内的应用.
无网格法网格依赖性弱, 避免了传统的有限元, 边界元等基于网格的数值方法中可能出现的网格 …

Meshfree methods: progress made after 20 years

JS Chen, M Hillman, SW Chi - Journal of Engineering Mechanics, 2017 - ascelibrary.org
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

The extended/generalized finite element method: an overview of the method and its applications

TP Fries, T Belytschko - International journal for numerical …, 2010 - Wiley Online Library
An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering

L Jing - International Journal of Rock Mechanics and Mining …, 2003 - Elsevier
The purpose of this review paper is to present the techniques, advances, problems and
likely future developments in numerical modelling for rock mechanics. Such modelling is …

Digital morphing wing: active wing shaping concept using composite lattice-based cellular structures

B Jenett, S Calisch, D Cellucci, N Cramer… - Soft robotics, 2017 - liebertpub.com
We describe an approach for the discrete and reversible assembly of tunable and actively
deformable structures using modular building block parts for robotic applications. The …

Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions

Y Chai, W Li, Z Liu - Applied Mathematics and Computation, 2022 - Elsevier
To improve the performance of the low-order linear triangular element for solving transient
wave propagation problems, this paper presents a novel enriched finite element method …

Ductile fracture by void growth to coalescence

AA Benzerga, JB Leblond - Advances in applied mechanics, 2010 - Elsevier
Publisher Summary An important failure mechanism in ductile metals and their alloys is by
growth and coalescence of microscopic voids. In structural materials, the voids nucleate at …

Numerical methods in rock mechanics

L Jing, JA Hudson - International Journal of Rock Mechanics and Mining …, 2002 - Elsevier
The purpose of this CivilZone review paper is to present the techniques, advances,
problems and likely future development directions in numerical modelling for rock …