Strong formulation finite element method based on differential quadrature: a survey
F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …
Meshless methods: an overview and recent developments
T Belytschko, Y Krongauz, D Organ, M Fleming… - Computer methods in …, 1996 - Elsevier
Meshless approximations based on moving least-squares, kernels, and partitions of unity
are examined. It is shown that the three methods are in most cases identical except for the …
are examined. It is shown that the three methods are in most cases identical except for the …
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 …
Enriched element‐free Galerkin methods for crack tip fields
Abstract The Element‐Free Galerkin (EFG) method is a meshless method for solving partial
differential equations which uses only a set of nodal points and a CAD‐like description of the …
differential equations which uses only a set of nodal points and a CAD‐like description of the …
[KNIHA][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 …
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 …
Crack propagation by element-free Galerkin methods
T Belytschko, YY Lu, L Gu - Engineering fracture mechanics, 1995 - Elsevier
Element free Galerkin methods (EFG) are gridless methods for solving partial differential
equations which employ moving least square interpolants for the trial and test functions. EFG …
equations which employ moving least square interpolants for the trial and test functions. EFG …
Local maximum‐entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
We present a one‐parameter family of approximation schemes, which we refer to as local
maximum‐entropy approximation schemes, that bridges continuously two important limits …
maximum‐entropy approximation schemes, that bridges continuously two important limits …
Computational methods for fracture in brittle and quasi‐brittle solids: state‐of‐the‐art review and future perspectives
T Rabczuk - International Scholarly Research Notices, 2013 - Wiley Online Library
An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …
On three-dimensional modelling of crack growth using partition of unity methods
This paper reviews different crack tracking techniques in three-dimensions applicable in the
context of partition of unity methods, especially meshfree methods. Issues such as …
context of partition of unity methods, especially meshfree methods. Issues such as …