Arbitrary Lagrangian-Eulerian method for large-strain consolidation problems

Majidreza Nazem; Daichao Sheng; John P. Carter; Scott W. Sloan

doi:10.1002/nag.657

Arbitrary Lagrangian-Eulerian method for large-strain consolidation problems

Majidreza Nazem, Daichao Sheng, John P. Carter, Scott W. Sloan

Research output: Contribution to journal › Article › peer-review

118 Citations (Scopus)

Abstract

In this paper, an arbitrary Lagrangian-Eulerian (ALE) method is generalized to solve consolidation problems involving large deformation. Special issues such as pore-water pressure convection, permeability and void ratio updates due to rotation and convection, mesh refinement and equilibrium checks are discussed. A simple and effective mesh refinement scheme is presented for the ALE method. The ALE method as well as an updated-Lagrangian method is then used to solve some classical consolidation problems involving large deformations with different constitutive laws. The results clearly show the advantage and efficiency of the ALE method for these examples.

Original language	English
Pages (from-to)	1023-1050
Number of pages	28
Journal	International Journal for Numerical and Analytical Methods in Geomechanics
Volume	32
Issue number	9
DOIs	https://doi.org/10.1002/nag.657
Publication status	Published - 2008

Keywords

Lagrangian, Eulerian methods
consolidation
stress integration

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10.1002/nag.657

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title = "Arbitrary Lagrangian-Eulerian method for large-strain consolidation problems",

abstract = "In this paper, an arbitrary Lagrangian-Eulerian (ALE) method is generalized to solve consolidation problems involving large deformation. Special issues such as pore-water pressure convection, permeability and void ratio updates due to rotation and convection, mesh refinement and equilibrium checks are discussed. A simple and effective mesh refinement scheme is presented for the ALE method. The ALE method as well as an updated-Lagrangian method is then used to solve some classical consolidation problems involving large deformations with different constitutive laws. The results clearly show the advantage and efficiency of the ALE method for these examples.",

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T1 - Arbitrary Lagrangian-Eulerian method for large-strain consolidation problems

AU - Nazem, Majidreza

AU - Sheng, Daichao

AU - Carter, John P.

AU - Sloan, Scott W.

PY - 2008

Y1 - 2008

N2 - In this paper, an arbitrary Lagrangian-Eulerian (ALE) method is generalized to solve consolidation problems involving large deformation. Special issues such as pore-water pressure convection, permeability and void ratio updates due to rotation and convection, mesh refinement and equilibrium checks are discussed. A simple and effective mesh refinement scheme is presented for the ALE method. The ALE method as well as an updated-Lagrangian method is then used to solve some classical consolidation problems involving large deformations with different constitutive laws. The results clearly show the advantage and efficiency of the ALE method for these examples.

AB - In this paper, an arbitrary Lagrangian-Eulerian (ALE) method is generalized to solve consolidation problems involving large deformation. Special issues such as pore-water pressure convection, permeability and void ratio updates due to rotation and convection, mesh refinement and equilibrium checks are discussed. A simple and effective mesh refinement scheme is presented for the ALE method. The ALE method as well as an updated-Lagrangian method is then used to solve some classical consolidation problems involving large deformations with different constitutive laws. The results clearly show the advantage and efficiency of the ALE method for these examples.

KW - Lagrangian, Eulerian methods

KW - consolidation

KW - stress integration

UR - http://handle.uws.edu.au:8081/1959.7/uws:31308

U2 - 10.1002/nag.657

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M3 - Article

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JO - International Journal for Numerical and Analytical Methods in Geomechanics

JF - International Journal for Numerical and Analytical Methods in Geomechanics

IS - 9

ER -

Arbitrary Lagrangian-Eulerian method for large-strain consolidation problems

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