Extended material point method for the three‐dimensional crack problems
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DOI: 10.1002/nme.6653
Abstract: The material point method (MPM) has demonstrated itself as an effective numerical method to simulate extreme events with large deformations including fracture problems. However, the traditional MPM encounters difficulties in simulating discontinuities due to its… read more here.
Keywords: xmpm; point method; method; material point ... See more keywords
Lagrangian–Eulerian multidensity topology optimization with the material point method
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DOI: 10.1002/nme.6668
Abstract: In this paper, a hybrid Lagrangian–Eulerian topology optimization (LETO) method is proposed to solve the elastic force equilibrium with the Material Point Method (MPM). LETO transfers density information from freely movable Lagrangian carrier particles to… read more here.
Keywords: method; lagrangian eulerian; material point; topology ... See more keywords
A material point method for simulation of viscoelastic flows
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DOI: 10.1007/s40571-018-0215-6
Abstract: A novel variant of the Material Point Method is proposed to solve flow problems for incompressible viscoelastic fluids. As in the original spirit of the method, material points possess all necessary information about the material… read more here.
Keywords: method simulation; material point; method; point method ... See more keywords
Fracture shearing of polycrystalline material simulations using the material point method
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DOI: 10.1007/s40571-020-00327-4
Abstract: In this work, we present a newly developed workflow to study the combined effect of shear and normal stresses upon a preexisting fracture plane. This workflow is used to study the behavior of both single… read more here.
Keywords: material point; material; point method; fracture ... See more keywords
Extension of B-spline Material Point Method for unstructured triangular grids using Powell–Sabin splines
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DOI: 10.1007/s40571-020-00328-3
Abstract: The Material Point Method (MPM) is a numerical technique that combines a fixed Eulerian background grid and Lagrangian point masses to simulate materials which undergo large deformations. Within the original MPM, discontinuous gradients of the… read more here.
Keywords: method; point; point method; material point ... See more keywords
Karamelo: an open source parallel C++ package for the material point method
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DOI: 10.1007/s40571-020-00369-8
Abstract: A simple and robust C++ code for the material point method (MPM) called Karamelo is presented here. It was designed to provide an open source, fast, light and easy-to-modify framework for both conducting research on… read more here.
Keywords: material point; open source; point method;
Overcoming volumetric locking in material point methods
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DOI: 10.1016/j.cma.2018.01.010
Abstract: Abstract Material point methods suffer from volumetric locking when modelling near incompressible materials due to the combination of a low-order computational mesh and large numbers of material points per element. However, large numbers of material… read more here.
Keywords: volumetric locking; material; material point; point methods ... See more keywords
A hybrid penalty and grid based contact method for the Material Point Method
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DOI: 10.1016/j.cma.2021.113739
Abstract: Abstract A frictional contact formulation for use with the Material Point Method (MPM) is presented in which the initial geometry description is retained and evolved. By doing so, this formulation is able to resolve contacts,… read more here.
Keywords: contact; grid; point method; material point ... See more keywords
Coupled material point Lattice Boltzmann method for modeling fluid–structure interactions with large deformations
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DOI: 10.1016/j.cma.2021.114040
Abstract: Abstract Fluid–structure interactions (FSI) are very common in many natural processes and engineering applications. However, modeling FSI with large structural deformations and turbulence flows under high Reynolds number ( R e ) is still a… read more here.
Keywords: lattice boltzmann; fluid structure; structure interactions; boltzmann method ... See more keywords
DP-MPM: Domain partitioning material point method for evolving multi-body thermal–mechanical contacts during dynamic fracture and fragmentation
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DOI: 10.1016/j.cma.2021.114063
Abstract: Abstract We propose a material point method (MPM) to model the evolving multi-body contacts due to crack growth and fragmentation of thermo-elastic bodies. By representing particle interface with an implicit function, we adopt the gradient… read more here.
Keywords: body; multi body; fragmentation; material point ... See more keywords
Interaction of fluid–solid–geomembrane by the material point method
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DOI: 10.1016/j.compgeo.2016.07.014
Abstract: Abstract A dynamic, large deformation problem of fluid–solid–geomembrane interaction is analysed by the use of material point method, a variant of the finite element method stated in a Lagrangian–Eulerian format. A low-order element is used… read more here.
Keywords: solid geomembrane; fluid; method; fluid solid ... See more keywords