Meshfree and particle methods and their applications
Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …
A review of meshless methods for laminated and functionally graded plates and shells
KM Liew, X Zhao, AJM Ferreira - Composite Structures, 2011 - Elsevier
This review focuses mainly on the developments of element-free or meshless methods and
their applications in the analysis of composite structures. This review is organized as follows …
their applications in the analysis of composite structures. This review is organized as follows …
Meshfree methods: progress made after 20 years
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 …
methods with considerable success. In addition, a significant amount of progress has been …
[BOOK][B] Meshfree particle methods
Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …
Peridynamic differential operator and its applications
E Madenci, A Barut, M Futch - Computer Methods in Applied Mechanics …, 2016 - Elsevier
The nonlocal peridynamic theory has been proven extremely robust for predicting damage
nucleation and propagation in materials under complex loading conditions. Its equations of …
nucleation and propagation in materials under complex loading conditions. Its equations of …
[BOOK][B] Peridynamic differential operator for numerical analysis
E Madenci, A Barut, M Dorduncu - 2019 - Springer
Based on the peridynamic (PD) theory introduced by Dr. Stewart A. Silling from Sandia
National Laboratories in 2000, this book presents the nonlocal PD differential operator and …
National Laboratories in 2000, this book presents the nonlocal PD differential operator and …
A nonlocal operator method for solving partial differential equations
A nonlocal operator method is proposed which is generally applicable for solving partial
differential equations (PDEs) of mechanical problems. The nonlocal operator can be …
differential equations (PDEs) of mechanical problems. The nonlocal operator can be …
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …
element methods with respect to the cost of forming the matrix and residual vector, the cost …
Stabilized Lagrange interpolation collocation method: A meshfree method incorporating the advantages of finite element method
L Wang, M Hu, Z Zhong, F Yang - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Since most approximation functions in meshfree methods are rational functions which do not
possess the Kronecker delta property, how to achieve exact integration and accurately …
possess the Kronecker delta property, how to achieve exact integration and accurately …
A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation
Meshfree direct collocation method (DCM) based on strong form suffers low accuracy and
instability compared with Galerkin-based meshfree methods. Meshfree weighted least …
instability compared with Galerkin-based meshfree methods. Meshfree weighted least …