Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method

J. E. Guilkey; J. A. Weiss

doi:10.1002/nme.729

Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.729 ◽

2003 ◽

Vol 57 (9) ◽

pp. 1323-1338 ◽

Cited By ~ 70

Author(s):

J. E. Guilkey ◽

J. A. Weiss

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Integration ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

Implicit Time ◽

The Finite Element Method ◽

Implicit Time Integration ◽

Element Method

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Monolithic coupling of the implicit material point method with the finite element method

Computers & Structures ◽

10.1016/j.compstruc.2019.04.006 ◽

2019 ◽

Vol 219 ◽

pp. 1-15

Author(s):

Eugenio Aulisa ◽

Giacomo Capodaglio

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

The Finite Element Method ◽

Element Method

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Application of the Generalized Interpolation Material Point Method Coupled With the Finite Element Method for Rigid-Flexible Contact

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/677/2/022026 ◽

2019 ◽

Vol 677 ◽

pp. 022026

Author(s):

Feng Chen ◽

Rong Chen ◽

Banghai Jiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

The Finite Element Method ◽

Element Method

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A comparison between the material point method and the finite element method in view of extrusion problems

PAMM ◽

10.1002/pamm.200410166 ◽

2004 ◽

Vol 4 (1) ◽

pp. 370-371

Author(s):

O. Schilling ◽

S. Reese

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

The Finite Element Method ◽

Element Method

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A Staggered Coupling Scheme of the Material Point Method and the Finite Element Method using Gauss Seidel Communication Pattern

10.23967/coupled.2021.006 ◽

2021 ◽

Author(s):

V. Singer ◽

B. Chandra ◽

R. Wüchner ◽

A. Larese

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

Coupling Scheme ◽

Communication Pattern ◽

The Finite Element Method ◽

Element Method

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Implicit Time Integration in the Generalized Interpolation Material Point Method for Finite Deformation Hyperelasticity

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2010.550082 ◽

2012 ◽

Vol 19 (6) ◽

pp. 465-473 ◽

Cited By ~ 8

Author(s):

Abilash Nair ◽

Samit Roy

Keyword(s):

Finite Deformation ◽

Time Integration ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

Implicit Time ◽

Implicit Time Integration

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An implicit time integration strategy for use with the material point method

Computational Fluid and Solid Mechanics ◽

10.1016/b978-008043944-0/50612-0 ◽

2001 ◽

pp. 216-219 ◽

Cited By ~ 4

Author(s):

J.E. Guilkey ◽

J.A. Weiss

Keyword(s):

Time Integration ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

Implicit Time ◽

Integration Strategy ◽

Implicit Time Integration

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Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.04.005 ◽

2015 ◽

Vol 293 ◽

pp. 1-19 ◽

Cited By ~ 19

Author(s):

Z.P. Chen ◽

X.M. Qiu ◽

X. Zhang ◽

Y.P. Lian

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

Contact Algorithm ◽

Surface Contact ◽

Element Method

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Coupling between finite element method and material point method for problems with extreme deformation

Theoretical and Applied Mechanics Letters ◽

10.1063/2.1202103 ◽

2012 ◽

Vol 2 (2) ◽

pp. 021003 ◽

Cited By ~ 8

Author(s):

Yanping Lian ◽

Xiong Zhang ◽

Yan Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

Element Method

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TEMPORAL-SPATIAL DISPERSION ANALYSIS OF FINITE ELEMENT METHOD IN IMPLICIT TIME INTEGRATION

Engineering Mechanics 2019 ◽

10.21495/71-0-215 ◽

2019 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Spatial Dispersion ◽

Time Integration ◽

Dispersion Analysis ◽

Implicit Time ◽

Implicit Time Integration ◽

Element Method

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Coupling of finite element method with material point method by local multi-mesh contact method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.07.014 ◽

2011 ◽

Vol 200 (47-48) ◽

pp. 3482-3494 ◽

Cited By ~ 43

Author(s):

Y.P. Lian ◽

X. Zhang ◽

Y. Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Material Point Method ◽

Material Point ◽

Point Method ◽

Contact Method ◽

Element Method

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