Decoupling and balancing of space and time errors in the material point method (MPM)

DOI10.1002/nme.2787zbMath1188.74089OpenAlexW2144208091MaRDI QIDQ3567318

Robert M. Kirby, Michael Steffen, Martin Berzins

Publication date: 11 June 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2787

zbMATH Keywords

quadraturemeshless methodssmoothed particle hydrodynamicsparticle methodsmeshfree methodsmaterial point methodtime steppingnodal quadrature

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items (7)

A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations ⋮ A total-Lagrangian material point method for solid mechanics problems involving large deformations ⋮ An explicit phase field material point method for modeling dynamic fracture problems ⋮ Analysis and mitigation of spatial integration errors for the material point method ⋮ An assessment of the total Lagrangian material point method: comparison to conventional MPM, higher order basis, and treatment of near-incompressibility ⋮ A coupled finite volume and material point method for two-phase simulation of liquid-sediment and gas-sediment flows ⋮ A weighted least squares particle-in-cell method for solid mechanics

Cites Work

• Unnamed Item
• Energy conservation error in the material point method for solid mechanics
• Implicit dynamics in the material-point method
• An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
• FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
• Application of a particle-in-cell method to solid mechanics
• A particle method for history-dependent materials
• An unconditionally stable, energy-momentum consistent implementation of the material-point method
• Simulation of the densification of real open-celled foam microstructures
• An energy-consistent material-point method for dynamic finite deformation plasticity
• Analysis and reduction of quadrature errors in the material point method (MPM)
• Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method
• Balancing Space and Time Errors in the Method of Lines for Parabolic Equations

This page was built for publication: Decoupling and balancing of space and time errors in the material point method (MPM)