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A modified generalized particle in cell method for overcoming volumetric locking and improving accuracy

https://doi.org/10.2139/ssrn.6588983
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Computational Methods for Plasticity
inferredcites →https://doi.org/10.1002/nme.1187openalex-snapshot
F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking
inferredcites →https://doi.org/10.1002/nme.1620030211openalex-snapshot
Reduced integration technique in general analysis of plates and shells
inferredcites →https://doi.org/10.1002/nme.2360openalex-snapshot
Analysis and reduction of quadrature errors in the material point method (MPM)
inferredcites →https://doi.org/10.1002/nme.3110openalex-snapshot
A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
inferredcites →https://doi.org/10.1002/nme.4526openalex-snapshot
Second‐order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces
inferredcites →https://doi.org/10.1002/nme.7216openalex-snapshot
Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation
inferredcites →https://doi.org/10.1006/jcph.2002.7103openalex-snapshot
Energy Conservation Error in the Material Point Method for Solid Mechanics
inferredcites →https://doi.org/10.1007/978-1-4612-3172-1openalex-snapshot
Mixed and Hybrid Finite Element Methods
inferredcites →https://doi.org/10.1007/s00466-018-1647-9openalex-snapshot
A stabilized mixed implicit Material Point Method for non-linear incompressible solid mechanics
inferredcites →https://doi.org/10.1016/0010-4655(96)00061-6openalex-snapshot
Application of a particle-indashcell method to solid mechanics [Comput. Phys. Commun. 87 (1995) 236–252]
inferredcites →https://doi.org/10.1016/0020-7683(95)00259-6openalex-snapshot
Design of simple low order finite elements for large strain analysis of nearly incompressible solids
inferredcites →https://doi.org/10.1016/0045-7825(94)90112-0openalex-snapshot
A particle method for history-dependent materials
inferredcites →https://doi.org/10.1016/j.cma.2012.06.015openalex-snapshot
An adaptive finite element material point method and its application in extreme deformation problems
inferredcites →https://doi.org/10.1016/j.cma.2014.11.001openalex-snapshot
Selective and reduced numerical integrations for NURBS-based isogeometric analysis
inferredcites →https://doi.org/10.1016/j.cma.2018.01.010openalex-snapshot
Overcoming volumetric locking in material point methods
inferredcites →https://doi.org/10.1016/j.cma.2019.112783openalex-snapshot
A Total-Lagrangian Material Point Method for solid mechanics problems involving large deformations
inferredcites →https://doi.org/10.1016/j.cma.2020.113308openalex-snapshot
A generalized particle in cell method for explicit solid dynamics
inferredcites →https://doi.org/10.1016/j.compgeo.2014.09.009openalex-snapshot
Coupling of soil deformation and pore fluid flow using material point method
inferredcites →https://doi.org/10.1016/j.compgeo.2020.103593openalex-snapshot
Simulating penetration problems in incompressible materials using the material point method
inferredcites →https://doi.org/10.1016/j.compgeo.2024.106494openalex-snapshot
Inhomogeneous Neumann boundary conditions for MPM and GIMP
inferredcites →https://doi.org/10.1016/j.compgeo.2025.107743openalex-snapshot
Enhanced MPM framework with multipatch isogeometric analysis for geotechnical applications
inferredcites →https://doi.org/10.1016/j.ijplas.2003.11.009openalex-snapshot
A stabilized formulation for incompressible plasticity using linear triangles and tetrahedra
inferredcites →https://doi.org/10.1016/s0045-7825(03)00253-6openalex-snapshot
A study of optimal membrane triangles with drilling freedoms
inferredcites →https://doi.org/10.1016/s0045-7825(96)01091-2openalex-snapshot
Axisymmetric form of the material point method with applications to upsetting and Taylor impact problems
inferredcites →https://doi.org/10.1016/s0045-7949(99)00095-4openalex-snapshot
Triangular finite elements with rotational degrees of freedom and enhanced strain modes
inferredcites →https://doi.org/10.1061/(asce)gt.1943-5606.0002687openalex-snapshot
Material Point Method for Cone Penetration in Clays
inferredcites →https://doi.org/10.1093/oso/9780198503675.001.0001openalex-snapshot
The Mathematical Theory Of Plasticity
inferredcites →https://doi.org/10.1137/140970574openalex-snapshot
Mixed Generalized Multiscale Finite Element Methods and Applications
inferredcites →https://doi.org/10.1145/3197517.3201293openalex-snapshot
A moving least squares material point method with displacement discontinuity and two-way rigid body coupling
inferredcites →https://doi.org/10.1145/3731155openalex-snapshot
CK-MPM: A Compact-Kernel Material Point Method
inferredcites →https://doi.org/10.1201/9780429028090openalex-snapshot
The Material Point Method for Geotechnical Engineering
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