An unconditionally stable, energy-momentum consistent implementation of the material-point method

DOI10.1016/j.cma.2005.06.027zbMath1118.74054OpenAlexW2108207998MaRDI QIDQ2384268

Yanyan Li

Publication date: 20 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.cma.2005.06.027

zbMATH Keywords

energy conservationhyperelastic materialsmomentum conservation

Mathematics Subject Classification ID

Related Items (22)

A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations ⋮ Affine particle in cell method for MAC grids and fluid simulation ⋮ Material point method of modelling and simulation of reacting flow of oxygen ⋮ The hot optimal transportation meshfree (HOTM) method for materials under extreme dynamic thermomechanical conditions ⋮ The discontinuous Galerkin material point method for variational hyperelastic-plastic solids ⋮ Solving quasi‐static equations with the material‐point method ⋮ An angular momentum conserving affine-particle-in-cell method ⋮ On the derivation of a component-free scheme for Lagrangian fluid-structure interaction problems ⋮ A conservation law consistent updated Lagrangian material point method for dynamic analysis ⋮ Mitigation of the self-force effect in unstructured PIC codes using generalized moving least squares ⋮ Material point method for dynamic analysis of saturated porous media under external contact/impact of solid bodies ⋮ Scalable FEA on non-conforming assembly mesh ⋮ Conservative, high-order particle-mesh scheme with applications to advection-dominated flows ⋮ Multi-scale defect interactions in high-rate brittle material failure. I: Model formulation and application to ALON ⋮ Decoupling and balancing of space and time errors in the material point method (MPM) ⋮ A weighted least squares particle-in-cell method for solid mechanics ⋮ An evaluation of explicit time integration schemes for use with the generalized interpolation material point method ⋮ Analysis and reduction of quadrature errors in the material point method (MPM) ⋮ A discontinuous Galerkin material point method for the solution of impact problems in solid dynamics ⋮ The affine particle-in-cell method ⋮ BFEMP: interpenetration-free MPM-FEM coupling with barrier contact ⋮ An effective limiting algorithm for particle-based numerical simulations of compressible flows

Uses Software

• PETSc

Cites Work

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