Meshfree methods: a comprehensive review of applications

S Garg, M Pant - International Journal of Computational Methods, 2018 - World Scientific
The meshfree methods in computational mechanics have been actively proposed and
increasingly developed in order to overcome some drawbacks in the conventional numerical …

[PDF][PDF] Applications of the MLPG method in engineering & sciences: a review

J Sladek, P Stanak, ZD Han, V Sladek… - … Computer Modeling in …, 2013 - cdn.techscience.cn
A review is presented for analysis of problems in engineering & the sciences, with the use of
the meshless local Petrov-Galerkin (MLPG) method. The success of the meshless methods …

Thirty years of the finite volume method for solid mechanics

P Cardiff, I Demirdžić - Archives of Computational Methods in Engineering, 2021 - Springer
Since early publications in the late 1980s and early 1990s, the finite volume method has
been shown suitable for solid mechanics analyses. At present, there are several flavours of …

Pull-in and snap-through instabilities in transient deformations of microelectromechanical systems

K Das, RC Batra - Journal of Micromechanics and …, 2009 - iopscience.iop.org
We analyze transient finite electroelastodynamic deformations of a perfect electrically
conducting undamped clamped–clamped beam, a clamped–clamped parabolic arch and a …

Design of bidirectional functionally graded plate for optimal natural frequencies

LF Qian, RC Batra - Journal of Sound and Vibration, 2005 - Elsevier
An advantage of functionally graded materials (FGMs) over laminated composites is that
material properties vary continuously in an FGM but are discontinuous across adjoining …

Transient thermoelastic deformations of a thick functionally graded plate

LF Qian, RC Batra - Journal of Thermal Stresses, 2004 - Taylor & Francis
We study transient thermoelastic deformations of a thick functionally graded plate with edges
held at a uniform temperature and either simply supported or clamped. Either the …

Direct meshless local Petrov–Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic

A Taleei, M Dehghan - Computer Methods in Applied Mechanics and …, 2014 - Elsevier
In recent years, there have been extensive efforts to find the numerical methods for solving
problems with interface. The main idea of this work is to introduce an efficient truly meshless …

The improved element-free Galerkin method for three-dimensional transient heat conduction problems

Z Zhang, JF Wang, Y Cheng, KM Liew - Science China Physics, Mechanics …, 2013 - Springer
With the improved moving least-squares (IMLS) approximation, an orthogonal function
system with a weight function is used as the basis function. The combination of the element …

SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations

RC Batra, GM Zhang - Computational Mechanics, 2008 - Springer
We propose a new and simple technique called the Symmetric Smoothed Particle
Hydrodynamics (SSPH) method to construct basis functions for meshless methods that use …

[HTML][HTML] Meshless local Petrov–Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation

D Mirzaei, M Dehghan - Journal of Computational and Applied …, 2010 - Elsevier
During the past few years, the idea of using meshless methods for numerical solution of
partial differential equations (PDEs) has received much attention throughout the scientific …