A total-Lagrangian material point method for solid mechanics problems involving large deformations
From MaRDI portal
Publication:2175313
DOI10.1016/j.cma.2019.112783zbMath1441.74300OpenAlexW2997150320WikidataQ126461437 ScholiaQ126461437MaRDI QIDQ2175313
Alban de Vaucorbeil, Vinh Phu Nguyen, Christopher R. Hutchinson
Publication date: 29 April 2020
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.2019.112783
Brittle fracture (74R10) Applications to the sciences (65Z05) Numerical and other methods in solid mechanics (74S99)
Related Items
Explicit phase-field total Lagrangian material point method for the dynamic fracture of hyperelastic materials ⋮ On differences and comparisons of peridynamic differential operators and nonlocal differential operators ⋮ The imposition of nonconforming Neumann boundary condition in the material point method without boundary representation ⋮ Taylor particle-in-cell transfer and kernel correction for material point method ⋮ A mixed three‐field total Lagrangian material point method for phase‐field fracture modeling of nearly incompressible rubber‐like solids ⋮ Ghost stabilisation of the material point method for stable quasi‐static and dynamic analysis of large deformation problems ⋮ <scp>Multiple‐GPU</scp> parallelization of three‐dimensional material point method based on single‐root complex ⋮ Circumventing volumetric locking in explicit material point methods: A simple, efficient, and general approach ⋮ On the derivation of a component-free scheme for Lagrangian fluid-structure interaction problems ⋮ 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 ⋮ Coarsened \(C^1\)-continuous shape functions using B-spline patches for simulating nonlinear heterogeneous structures ⋮ Modelling contacts with a total Lagrangian material point method ⋮ A generalized particle in cell method for explicit solid dynamics ⋮ An entropy-stable smooth particle hydrodynamics algorithm for large strain thermo-elasticity ⋮ Modeling fracture in viscoelastic materials using a modified incremental meshfree RPIM and DIC technique ⋮ Mesh objective simulations of large strain ductile fracture: a new nonlocal Johnson-cook damage formulation for the total Lagrangian material point method ⋮ BFEMP: interpenetration-free MPM-FEM coupling with barrier contact
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Material point method enhanced by modified gradient of shape function
- Stable particle methods based on Lagrangian kernels
- 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
- Meshless methods: a review and computer implementation aspects
- FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
- Inclusion of evolutionary damage measures in Eulerian wavecodes
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- Smoothed particle hydrodynamics: Some recent improvements and applications
- Axisymmetric form of the material point method with applications to upsetting and Taylor impact problems
- Application of a particle-in-cell method to solid mechanics
- An hourglass control algorithm for Lagrangian smooth particle hydrodynamics
- A particle method for history-dependent materials
- An efficient staggered grid material point method
- On the use of domain-based material point methods for problems involving large distortion
- Isogeometric analysis: an overview and computer implementation aspects
- The affine particle-in-cell method
- A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
- Isogeometric finite element data structures based on Bézier extraction of NURBS
- Second-order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces
- Controlling the onset of numerical fracture in parallelized implementations of the material point method (MPM) with convective particle domain interpolation (CPDI) domain scaling
- Decoupling and balancing of space and time errors in the material point method (MPM)
- Analysis and reduction of quadrature errors in the material point method (MPM)
- Remarks on tension instability of Eulerian and Lagrangian corrected smooth particle hydrodynamics (CSPH) methods
- A unified stability analysis of meshless particle methods
- Simulation of high explosive explosion using adaptive material point method
This page was built for publication: A total-Lagrangian material point method for solid mechanics problems involving large deformations