IGA-MPM: the isogeometric material point method

DOI10.1016/j.cma.2020.113346zbMath1506.74481OpenAlexW3080703334MaRDI QIDQ2020923

Georgios Moutsanidis, Christopher C. Long, Yuri Bazilevs

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1711396

zbMATH Keywords

smooth basis functionsparticle methodsisogeometric analysisNURBSmaterial point methodcell-crossing instability

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items

Treatment of near-incompressibility and volumetric locking in higher order material point methods ⋮ Reduced quadrature for finite element and isogeometric methods in nonlinear solids ⋮ Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation ⋮ Isogeometric large-eddy simulations of turbulent particle-laden flows ⋮ An improved formulation for reduced quadrature in computational solid mechanics ⋮ Diffusive-discrete crack transition without remeshing achieved by extended B-spline-based implicit material point method ⋮ A new stabilized formulation for the simulation of underwater explosions using isogeometric analysis ⋮ An assessment of the total Lagrangian material point method: comparison to conventional MPM, higher order basis, and treatment of near-incompressibility ⋮ A subdivision-stabilized B-Spline mixed material point method ⋮ A coupled finite volume and material point method for two-phase simulation of liquid-sediment and gas-sediment flows ⋮ Reduced quadrature for FEM, IGA and meshfree methods

Uses Software

• CartaBlanca
• PetIGA

Cites Work

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• Isogeometric analysis of Lagrangian hydrodynamics: axisymmetric formulation in the \(rz\)-cylindrical coordinates
• Isogeometric analysis using LR B-splines
• Material point method enhanced by modified gradient of shape function
• Isogeometric analysis using T-splines
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
• Mass matrix formulation of the FLIP particle-in-cell method
• Reproducing kernel particle methods for large deformation analysis of nonlinear structures
• Application of a particle-in-cell method to solid mechanics
• The material-point method for granular materials
• A new formulation for air-blast fluid-structure interaction using an immersed approach. I: Basic methodology and FEM-based simulations
• A new formulation for air-blast fluid-structure interaction using an immersed approach. II: Coupling of IGA and meshfree discretizations
• A particle method for history-dependent materials
• Modeling strong discontinuities in the material point method using a single velocity field
• Modelling of landslides with the material-point method
• PetIGA: a framework for high-performance isogeometric analysis
• Material point method applied to multiphase flows
• On calculating with B-splines
• Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
• A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
• An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics
• Analysis and reduction of quadrature errors in the material point method (MPM)
• Fluid-membrane interaction based on the material point method
• Isogeometric Analysis
• A material point method for snow simulation
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
• The Numerical Evaluation of B-Splines