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Consistent and stable meshfree Galerkin methods using the virtual element decomposition
(Wiley, 2017)
Over the past two decades, meshfree methods have undergone significant development as a numerical tool
to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree
methods ...
Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations
(Elsevier, 2015)
A displacement-based Galerkin meshfree method for large deformation analysis of nearly-incompressible elastic solids is presented. Nodal discretization of the domain is defined by a Delaunay tessellation (three-node triangles ...
A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition
(Wiley, 2020)
In this article, we present a novel nodal integration scheme for meshfree Galerkin methods, which draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis functions for the ...
Volume-averaged nodal projection method for nearly-incompressible elasticity using meshfree and bubble basis functions
(Elsevier, 2015)
We present a displacement-based Galerkin meshfree method for the analysis of nearly-incompressible linear elastic solids,
where low-order simplicial tessellations (i.e., 3-node triangular or 4-node tetrahedral meshes) are ...
Discontinuous modelling of shear bands using adaptive meshfree methods
(2008-01-15)
A simple methodology to model shear bands as strong displacement discontinuities in an adaptive meshfree method is presented. The shear band is represented by a displacement jump at discrete particle positions. The ...
An EFG method for the nonlinear analysis of plates undergoing arbitrarily large deformations
(ELSEVIER SCI LTD, 2008)
The applicability of a meshfree approximation method, namely the EFG method, on fully geometrically exact analysis of plates is investigated. Based on a unified nonlinear theory of plates, which allows for arbitrarily large ...
Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
(Universidad Nacional de Colombia -Sede Medellín, 2011)
A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose ...