Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review

KM Liew, ZX Lei, LW Zhang - Composite Structures, 2015 - Elsevier
Research activities related to functionally graded materials (FGMs) have increased rapidly in
recent years. The superlative properties of carbon nanotubes, ie high strength, high stiffness …

An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability

AHD Cheng, Y Hong - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

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 …

[CARTE][B] Smoothed particle hydrodynamics: a meshfree particle method

GR Liu, MB Liu - 2003 - books.google.com
Page 1 Smoothed Particle Hydrodynamics a meshfree particle method GR Liu ↑ MB Liu Page
2 Page 3 1 Smoothed Particle Hydrodynamics a meshfree particle method This One …

[CARTE][B] Meshfree methods: moving beyond the finite element method

GR Liu - 2009 - taylorfrancis.com
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

[CARTE][B] Smoothed finite element methods

GR Liu, N Trung - 2016 - books.google.com
Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …

Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics

Y Zhang, S Dang, W Li, Y Chai - Computers & Mathematics with …, 2022 - Elsevier
The radial point interpolation method (RPIM) is combined with the appropriate implicit time
integration technique for transient wave propagation analysis in this work. The dispersion …

[HTML][HTML] A robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for nonlinear solid mechanics

J Bai, GR Liu, T Rabczuk, Y Wang, XQ Feng… - Computer Methods in …, 2024 - Elsevier
In this work, we proposed a robust radial point interpolation method empowered with neural
network solvers (RPIM-NNS) for solving highly nonlinear solid mechanics problems. It is …

Efficient coarse graining in multiscale modeling of fracture

PR Budarapu, R Gracie, SW Yang, X Zhuang… - Theoretical and Applied …, 2014 - Elsevier
We propose a coarse-graining technique to reduce a given atomistic model into an
equivalent coarse grained continuum model. The developed technique is tailored for …

[HTML][HTML] Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method

AJM Ferreira, CMC Roque, P Martins - Composites Part B: Engineering, 2003 - Elsevier
In the present study the third-order theory of Reddy for composite laminated plates is
discretized using a new type of meshless method, a finite point based on the multiquadric …