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
An Extended B‐Spline‐Based Material Point Method for Contact Problems
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DOI: 10.1002/nme.70003
Abstract: A novel Material Point Method (MPM) is introduced for addressing contact problems. In contrast to the standard multi‐velocity field approach, this method employs a penalty method to evaluate contact forces at the discretised boundaries of… read more here.
Keywords: method; point method; material point; contact problems ... See more keywords
An Efficient Arbitrary Grid Material Point Method for Problems With Nonconforming Boundary Conditions
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DOI: 10.1002/nme.70054
Abstract: In the standard material point method (MPM), a Cartesian background grid is typically used to solve equations of motion. This can make imposing boundary conditions a challenging task when the boundary of the material domain… read more here.
Keywords: boundary conditions; nonconforming boundary; point method; material point ... See more keywords
A-posteriori error estimation for the finite point method with applications to compressible flow
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DOI: 10.1007/s00466-017-1402-7
Abstract: An a-posteriori error estimate with application to inviscid compressible flow problems is presented. The estimate is a surrogate measure of the discretization error, obtained from an approximation to the truncation terms of the governing equations.… read more here.
Keywords: error; compressible flow; finite point; point method ... See more keywords
Proximal-stabilized semidefinite programming
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DOI: 10.1007/s10589-024-00614-3
Abstract: A regularized version of the primal-dual Interior Point Method (IPM) for the solution of Semidefinite Programming Problems (SDPs) is presented in this paper. Leveraging on the proximal point method, a novel Proximal Stabilized Interior Point… read more here.
Keywords: method; semidefinite programming; point method; proximal stabilized ... See more keywords
A Modified and Simplified Full Nesterov–Todd Step $$\mathcal {O}(N)$$O(N) Infeasible Interior-Point Method for Second-Order Cone Optimization
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Operations Research Society of China"
DOI: 10.1007/s40305-017-0168-0
Abstract: We present a modified and simplified version of an infeasible interior-point method for second-order cone optimization published in 2013 (Zangiabadi et al. in J Optim Theory Appl, 2013). In the earlier version, each iteration consisted of… read more here.
Keywords: interior point; step; infeasible interior; point method ... 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;
A hybrid penalty and grid based contact method for the Material Point Method
Sign Up to like & getrecommendations! Published in 2021 at "Computer Methods in Applied Mechanics and Engineering"
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