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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 ...
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 ...
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 ...
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 ...
Meshfree modeling of cyclic behavior of sands within large strain Generalized Plasticity Framework
(Elsevier, 2020-06)
In this publication the u-w finite strain formulation is enhanced with a Generalized Plasticity model for sands. The new model is numerically solved using an Optimal Transportation Meshfree approach that is best suited for ...