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Second‐order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1097-0207(20000630)48:6<901::aid-nme910>3.0.co;2-topenalex-snapshot
Fluid-membrane interaction based on the material point method
inferredcites →https://doi.org/10.1002/9780470510858openalex-snapshot
A First Course in Finite Elements
inferredcites →https://doi.org/10.1002/nme.2823openalex-snapshot
Modeling strategies for multiphase drag interactions using the material point method
inferredcites →https://doi.org/10.1002/nme.2981openalex-snapshot
Contact algorithms for the material point method in impact and penetration simulation
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/10.1006/jcph.2002.7103openalex-snapshot
Energy Conservation Error in the Material Point Method for Solid Mechanics
inferredcites →https://doi.org/10.1007/s10704-007-9051-zopenalex-snapshot
Simulation of dynamic crack growth using the generalized interpolation material point (GIMP) method
inferredcites →https://doi.org/10.1007/s10704-009-9338-3openalex-snapshot
Analytical and numerical modeling of R curves for cracks with bridging zones
inferredcites →https://doi.org/10.1016/0010-4655(94)00170-7openalex-snapshot
Application of a particle-in-cell method to solid mechanics
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.2008.12.006openalex-snapshot
Material point method for dynamic analysis of saturated porous media under external contact/impact of solid bodies
inferredcites →https://doi.org/10.1016/j.cma.2013.02.001openalex-snapshot
Improved convected particle domain interpolation method for coupled dynamic analysis of fully saturated porous media involving large deformation
inferredcites →https://doi.org/10.1016/j.commatsci.2011.06.018openalex-snapshot
Application of material point methods for cutting process simulations
inferredcites →https://doi.org/10.1016/j.ijimpeng.2010.08.003openalex-snapshot
Numerical simulation of explosive welding using the material point method
inferredcites →https://doi.org/10.1016/j.ijimpeng.2011.02.004openalex-snapshot
Modelling brittle impact failure of disc particles using material point method
inferredcites →https://doi.org/10.1016/j.jcp.2008.07.019openalex-snapshot
An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
inferredcites →https://doi.org/10.1016/s0045-7825(01)00409-1openalex-snapshot
Modeling delamination as a strong discontinuity with the material point method
inferredcites →https://doi.org/10.1115/1.3625016openalex-snapshot
Introduction to the Mechanics of a Continuous Medium
inferredcites →https://doi.org/10.1201/9781420035421openalex-snapshot
Verification of Computer Codes in Computational Science and Engineering
inferredcites →https://doi.org/10.3970/cmes.2001.002.509openalex-snapshot
An Improved Contact Algorithm for the Material Point Method and Application to Stress Propagation in Granular Material
inferredcites →https://doi.org/10.3970/cmes.2004.005.477openalex-snapshot
The Generalized Interpolation Material Point Method
inferredcites →https://doi.org/10.3970/cmes.2006.016.141openalex-snapshot
Three-Dimensional Dynamic Fracture Analysis Using the Material Point Method
inferredcites →https://doi.org/10.3970/cmes.2008.031.107openalex-snapshot
Examination and Analysis of Implementation Choices within the Material Point Method (MPM)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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An Implicit Material Point Method Using a Cell-Based Integration Scheme for Large Deformation Static Problems
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An Implicit Material Point Method Using a Cell-Based Integration Scheme for Large Deformation Static Problems
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Extended B‐spline‐based implicit material point method for saturated porous media
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Laboratory‐Scale Free Fall Cone Penetrometer Test on Marine Clay: A Numerical Investigation Using the Generalized Interpolation Material Point Method
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An efficient binning scheme with application to statistical crack mechanics
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Controlling the onset of numerical fracture in parallelized implementations of the material point method (MPM) with convective particle domain interpolation (CPDI) domain scaling
inferred← citeshttps://doi.org/10.1002/nme.5317openalex-snapshot
Field‐gradient partitioning for fracture and frictional contact in the material point method
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Imposition of essential boundary conditions in the material point method
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Enhancement of the material point method using B‐spline basis functions
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Local transmitting boundaries for the generalized interpolation material point method
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A convected particle least square interpolation material point method
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Extended B‐spline‐based implicit material point method
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An efficient and locking‐free material point method for three‐dimensional analysis with simplex elements
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A total‐Lagrangian material point method for coupled growth and massive deformation of incompressible soft materials
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Beam elements with frictional contact in the material point method
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An Extended B‐Spline‐Based Material Point Method for Contact Problems
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Smoothed Total Lagrangian Material Point Method for Dynamic Large Deformation Analysis of Soft Materials
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Extended Mixed B‐Spline Material Point Method With Nitsche's Method for Quasi‐Compressible Soft Materials
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A Total‐Lagrangian Generalized Particle Domain Method for Explicit Solid Dynamics
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A Finite Element Particle Method for Extreme Deformation Problems
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Embedded Lagrangian Surfaces for Explicit Contact Interface Representation in the Material Point Method
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The Virtual Stress Boundary Method to Impose Nonconforming Neumann Boundary Conditions in the High‐Order Material Point Method
inferred← citeshttps://doi.org/10.1002/nme.70430openalex-snapshot
Material Point Method‐Based One‐Step Inverse Forming Analysis for Non‐Matching Interfaces
inferred← citeshttps://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
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Analysis and mitigation of spatial integration errors for the material point method
inferred← citeshttps://doi.org/10.1002/nme.7332openalex-snapshot
Ghost stabilisation of the material point method for stable quasi‐static and dynamic analysis of large deformation problems
inferred← citeshttps://doi.org/10.1002/nme.7359openalex-snapshot
An efficient solid shell material point method for large deformation of thin structures
inferred← citeshttps://doi.org/10.1002/nme.7389openalex-snapshot
An improved convected particle domain interpolation material point method for large deformation geotechnical problems
inferred← citeshttps://doi.org/10.1002/nme.7537openalex-snapshot
Generalized particle domain method: An extension of material point method generates particles from the CAD files
inferred← citeshttps://doi.org/10.1002/pamm.202400033openalex-snapshot
Mitigation Techniques for Volumetric Locking in the Implicit Material Point Method (MPM)
inferred← citeshttps://doi.org/10.1002/pamm.202400120openalex-snapshot
A regularized microplane damage material model in the implicit material point method
inferred← citeshttps://doi.org/10.1007/978-3-031-24070-6_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-031-24070-6_3openalex-snapshot
Various MPM Formulations
inferred← citeshttps://doi.org/10.1007/978-3-031-24070-6_5openalex-snapshot
Implementation
inferred← citeshttps://doi.org/10.1007/978-3-031-93213-7_29openalex-snapshot
From Models to Challenges in Computational Fracture and Damage Mechanics
inferred← citeshttps://doi.org/10.1007/s00366-013-0342-xopenalex-snapshot
Verification tests in solid mechanics
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Toward engineering lattice structures with the material point method (MPM)
inferred← citeshttps://doi.org/10.1007/s00419-017-1272-7openalex-snapshot
Material point method for crack propagation in anisotropic media: a phase field approach
inferred← citeshttps://doi.org/10.1007/s00466-018-1647-9openalex-snapshot
A stabilized mixed implicit Material Point Method for non-linear incompressible solid mechanics
inferred← citeshttps://doi.org/10.1007/s00466-019-01670-xopenalex-snapshot
A convected-particle tetrahedron interpolation technique in the material-point method for the mesoscale modeling of ceramics
inferred← citeshttps://doi.org/10.1007/s00466-023-02381-0openalex-snapshot
A variationally consistent reproducing kernel enhanced material point method and its applications to incompressible materials
inferred← citeshttps://doi.org/10.1007/s00466-023-02412-wopenalex-snapshot
Lagrange multiplier imposition of non-conforming essential boundary conditions in implicit material point method
inferred← citeshttps://doi.org/10.1007/s00466-024-02549-2openalex-snapshot
An implicit coupled MPM formulation for static and dynamic simulation of saturated soils based on a hybrid method
inferred← citeshttps://doi.org/10.1007/s00466-025-02627-zopenalex-snapshot
Reproducing kernel enhanced material point method with improved artificial viscosity formulations for shock wave and vortical compressible flows
inferred← citeshttps://doi.org/10.1007/s00466-025-02663-9openalex-snapshot
Enforcement of non-conforming dirichlet boundary conditions in the implicit material point method using the direct elimination method
inferred← citeshttps://doi.org/10.1007/s00466-026-02804-8openalex-snapshot
Modeling surface tension in fluid membranes and soft materials using surface-enriched convected particle domain interpolation (CPDI)
inferred← citeshttps://doi.org/10.1007/s00603-025-04428-5openalex-snapshot
Decoding the Hard Roof Control Mechanism of Ground Fracturing Based on the Material Point Method
inferred← citeshttps://doi.org/10.1007/s10035-022-01234-6openalex-snapshot
Effect of particle breakage-induced frictional weakening on the dynamics of landslides
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An Efficient Particle Subdomain Quadrature Scheme for the Material Point Method
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Simulating the entire rainfall-induced landslide process using the material point method for unsaturated soil with implicit and explicit formulations
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A convected particle Gauss-quadrature interpolation for the cell crossing error reduction
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Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation
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Improving accuracy in the MPM method using a null space filter
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A strategy to couple the material point method (MPM) and smoothed particle hydrodynamics (SPH) computational techniques
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Hysteretic behavior using the explicit material point method
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Solid–liquid coupled material point method for simulation of ground collapse with fluidization
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Extension of B-spline Material Point Method for unstructured triangular grids using Powell–Sabin splines
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An improved material point method using moving least square shape functions
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Karamelo: an open source parallel C++ package for the material point method
inferred← citeshttps://doi.org/10.1007/s40571-021-00399-wopenalex-snapshot
Modeling of the Split-Hopkinson-Pressure-Bar experiment with the explicit material point method
inferred← citeshttps://doi.org/10.1007/s40571-023-00615-9openalex-snapshot
Large Deformation and Brittle Failure Calculated Using the Dual-Domain Material Point Method
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An implicit material point method using a cell-based integration scheme for large deformation static problems
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Easily porting material point methods codes to GPU
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Rapid particle generation from an STL file and related issues in the application of material point methods to complex objects
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Reduction of stress oscillations in the material point method based on the random grid-shift technique
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A novel local grid refinement scheme for material point method
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The Material Point Method
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Implementation of the Granular Material Point Method for soil modeling in Uintah
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Explicit phase-field total Lagrangian material point method for the dynamic fracture of hyperelastic materials
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The imposition of nonconforming Neumann boundary condition in the material point method without boundary representation
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Assessing and improving strong-shock accuracy in the material point method
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Diffusive-discrete crack transition without remeshing achieved by extended B-spline-based implicit material point method
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v-p material point method for weakly compressible problems
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Numerical investigation of pile installation effects in sand using material point method
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Formulation of the axisymmetric CPDI with application to pile driving in sand
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Simulation of penetration of a foundation element in Tresca soil using the generalized interpolation material point method (GIMP)
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Simulating penetration problems in incompressible materials using the material point method
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Truncated hierarchical B-spline material point method for large deformation geotechnical problems
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Multiscale modeling of coupled thermo-mechanical behavior of granular media in large deformation and flow
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A coupled MPM and CBFEM framework for large deformation simulation of porous media interacting with pore and free fluid
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A gradient-smoothed material point method for reducing cell crossing noise in large deformation problems
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An explicit material point and finite volume sequentially coupled method for simulating large deformation problems in saturated soil
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Simulation of cone penetration in soil using the material point method
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Inhomogeneous Neumann boundary conditions for MPM and GIMP
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Three-dimensional numerical investigation of blast-induced rock failure under in-situ stress using the material point method
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Implicit partitioned-integration material point method for saturated porous media with an incompressible stabilization approach
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A coupled material point and finite volume method for geomechanics
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iGIMP: An implicit generalised interpolation material point method for large deformations
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B-spline based boundary conditions in the material point method
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From solid to disconnected state and back: Continuum modelling of granular flows using material point method
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A coupled implicit MPM-FEM approach for brittle fracture and fragmentation
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An implicit gradient-enhanced microplane damage material model in the coupled implicit MPM-FEM
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A unified explicit phase-field material point method framework for fluid-structure interaction with large deformation and dynamic fracture
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A robust compressible APIC–FLIP particle–grid method with conservative resampling and adaptive APIC–PIC blending
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B-spline convected particle domain interpolation method
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A novel improved domain material point method for the cell-crossing instability problem
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An explicit finite material point method for solid dynamics involving large deformations
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Multiple discrete crack initiation and propagation in Material Point Method
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On a family of convected particle domain interpolations in the material point method
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Granular Material Point Method: unsaturated soil modelling
inferred← citeshttps://doi.org/10.1016/j.ijimpeng.2023.104728openalex-snapshot
Mesoscale Simulation of Shaped Charge Jet Forming and Free Flight Based on B-spline and Domain Interpolation Material Point Method
inferred← citeshttps://doi.org/10.1016/j.ijmst.2022.08.012openalex-snapshot
Coupled GIMP and CPDI material point method in modelling blast-induced three-dimensional rock fracture
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2021.111262openalex-snapshot
Numerical Brazilian disk testing of multiscale porous Ultra-High Temperature Ceramics
inferred← citeshttps://doi.org/10.1016/j.jcp.2016.08.033openalex-snapshot
Material point methods applied to one-dimensional shock waves and dual domain material point method with sub-points
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.08.007openalex-snapshot
Combining dual domain material point method with molecular dynamics for thermodynamic nonequilibriums
inferred← citeshttps://doi.org/10.1016/j.jcp.2023.112681openalex-snapshot
Nodal force error and its reduction for material point methods
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113302openalex-snapshot
Second order accurate particle-in-cell discretization of the Navier-Stokes equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2025.114589openalex-snapshot
Second order accurate discretization of the material point method on periodic domains
inferred← citeshttps://doi.org/10.1016/j.jmps.2015.10.007openalex-snapshot
Multi-scale defect interactions in high-rate brittle material failure. Part I: Model formulation and application to ALON
inferred← citeshttps://doi.org/10.1016/j.jmps.2016.12.002openalex-snapshot
Continuum modeling of projectile impact and penetration in dry granular media
inferred← citeshttps://doi.org/10.1016/j.jrmge.2023.05.006openalex-snapshot
Material point method simulation of hydro-mechanical behaviour in two-phase porous geomaterials: A state-of-the-art review
inferred← citeshttps://doi.org/10.1016/j.jrmge.2025.04.001openalex-snapshot
Geo-interface modeling with material point method: A review
inferred← citeshttps://doi.org/10.1016/j.mechmat.2021.103976openalex-snapshot
Investigating the mechanical behavior of multiscale porous ultra-high temperature ceramics using a quasi-static material point method
inferred← citeshttps://doi.org/10.1016/j.oceaneng.2026.125609openalex-snapshot
Simulation study of ice fracture and ship–ice collision based on the material point method
inferred← citeshttps://doi.org/10.1016/j.oceaneng.2026.126599openalex-snapshot
Determining seabed shear strength from free-fall cone penetrometer test data: Coupled experimental, numerical, and analytical insights
inferred← citeshttps://doi.org/10.1016/j.proeng.2017.01.024openalex-snapshot
Application of a Second-order Implicit Material Point Method
inferred← citeshttps://doi.org/10.1016/j.proeng.2017.01.029openalex-snapshot
Modelling of Fall-cone Tests with Strain-rate Effects
inferred← citeshttps://doi.org/10.1016/j.proeng.2017.01.038openalex-snapshot
A Penalty Function Method for Modelling Frictional Contact in MPM
inferred← citeshttps://doi.org/10.1016/j.sandf.2020.09.006openalex-snapshot
Arbitrary particle domain interpolation method and application to problems of geomaterial deformation
inferred← citeshttps://doi.org/10.1016/j.sandf.2021.08.007openalex-snapshot
Numerical modelling of large deformation problems in geotechnical engineering: A state-of-the-art review
inferred← citeshttps://doi.org/10.1016/j.sandf.2022.101180openalex-snapshot
Axisymmetric particle-element coupled method for deformation problems of geomaterial
inferred← citeshttps://doi.org/10.1016/j.tws.2018.05.014openalex-snapshot
Validation of the material point method for the simulation of thin-walled tubes under lateral compression
inferred← citeshttps://doi.org/10.1017/jfm.2015.383openalex-snapshot
Continuum modelling and simulation of granular flows through their many phases
inferred← citeshttps://doi.org/10.1029/2020ms002277openalex-snapshot
A Generalized Interpolation Material Point Method for Shallow Ice Shelves. 1: Shallow Shelf Approximation and Ice Thickness Evolution
inferred← citeshttps://doi.org/10.1061/(asce)gt.1943-5606.0002687openalex-snapshot
Material Point Method for Cone Penetration in Clays
inferred← citeshttps://doi.org/10.1109/camsap58249.2023.10403435openalex-snapshot
Dynamic Tomography Reconstruction via Low-Rank Modeling with a RED Spatial Prior
inferred← citeshttps://doi.org/10.1109/iccv48922.2021.00226openalex-snapshot
Dynamic CT Reconstruction from Limited Views with Implicit Neural Representations and Parametric Motion Fields
inferred← citeshttps://doi.org/10.1109/tci.2025.3547265openalex-snapshot
Distributed Stochastic Optimization of a Neural Representation Network for Time-Space Tomography Reconstruction
inferred← citeshttps://doi.org/10.1111/cgf.12987openalex-snapshot
Dynamically Enriched MPM for Invertible Elasticity
inferred← citeshttps://doi.org/10.1145/3811294openalex-snapshot
MPM Lite: Linear Kernels and Integration without Particles
inferred← citeshttps://doi.org/10.1186/s40323-022-00229-5openalex-snapshot
A partitioned material point method and discrete element method coupling scheme
inferred← citeshttps://doi.org/10.1201/9780429446931-83openalex-snapshot
Numerical simulation of pile installation in saturated soil using CPDI
inferred← citeshttps://doi.org/10.1299/transjsme.25-00202openalex-snapshot
Numerical analysis of pneumatically driven soft robots with contact using FEM-MPM
inferred← citeshttps://doi.org/10.1371/journal.pone.0240133openalex-snapshot
Towards an understanding of the chemo-mechanical influences on kidney stone failure via the material point method
inferred← citeshttps://doi.org/10.1680/geot.14.p.163openalex-snapshot
The material point method for unsaturated soils
inferred← citeshttps://doi.org/10.2139/ssrn.4864878openalex-snapshot
Probabilistic Analysis of Post-Failure Behavior in Landslides and Kinetic Energy-Based Risk Assessment
inferred← citeshttps://doi.org/10.2139/ssrn.6183249openalex-snapshot
A two-dimensional continuum-based beam in the Material Point Method
inferred← citeshttps://doi.org/10.2139/ssrn.6183250openalex-snapshot
A two-dimensional continuum-based beam in the Material Point Method
inferred← citeshttps://doi.org/10.2139/ssrn.6568969openalex-snapshot
A fully integrated convected particle domain material point method for mitigating spurious deformation modes and improving accuracy
inferred← citeshttps://doi.org/10.2139/ssrn.6588983openalex-snapshot
A modified generalized particle in cell method for overcoming volumetric locking and improving accuracy
inferred← citeshttps://doi.org/10.2139/ssrn.6885907openalex-snapshot
A modified generalized particle in cell method for overcoming volumetric locking and improving accuracy
inferred← citeshttps://doi.org/10.2208/jscejam.72.i_155openalex-snapshot
Application of Domain Integration Method using Numerical Grids to Large Deformation Problems of Geomaterials
inferred← citeshttps://doi.org/10.32604/cmes.2025.059235openalex-snapshot
Sensitivity Analysis of Structural Dynamic Behavior Based on the Sparse Polynomial Chaos Expansion and Material Point Method
inferred← citeshttps://doi.org/10.3390/pr12061048openalex-snapshot
Numerical Study on the Fracturing of Deep Rock Masses by Blasting Based on the Material Point Method
inferred← citeshttps://doi.org/10.3934/acse.2025013openalex-snapshot
Extended B-spline-based mixed material point method stabilized by the variational multiscale method for compressible and nearly incompressible hyperelastic materials
inferred← citeshttps://doi.org/10.5194/gmd-13-6265-2020openalex-snapshot
A fast and efficient MATLAB-based MPM solver: fMPMM-solver v1.1
inferred← citeshttps://doi.org/10.5821/dissertation-2117-173619openalex-snapshot
Discrete-continuum hybrid modelling of flowing and static regimes
inferred← citeshttps://doi.org/10.64898/2026.05.27.727945openalex-snapshot
Age and Gender-Dependent Group-Average Brain Biomechanics Models for Traumatic Brain Injury
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