Arbitrary Lagrangian-Eulerian method for dynamic analysis of geotechnical problems

M. Nazem; J. P. Carter; D. W. Airey

doi:10.1016/j.compgeo.2008.11.001

Arbitrary Lagrangian-Eulerian method for dynamic analysis of geotechnical problems

M. Nazem, J. P. Carter, D. W. Airey

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

92 Citations (Scopus)

Abstract

In this paper an arbitrary Lagrangian-Eulerian (ALE) method to solve dynamic problems involving large deformation is presented. This ALE method is based upon the operator-split technique in which the material displacements and mesh displacements are uncoupled. A brief history of the ALE method is first presented and then special issues such as time-stepping, mesh refinement, energy absorbing boundaries, dynamic equilibrium checks and remapping of state variables are explained. The ALE method and the updated-lagrangian (UL) method are then used to analyse some geotechnical problems to examine the significance of inertia effects, large deformation and contact mechanics. The results show the efficiency of the ALE method for solving dynamic geotechnical problems involving large deformation.

Original language	English
Pages (from-to)	549-557
Number of pages	9
Journal	Computers and Geotechnics
Volume	36
Issue number	4
DOIs	https://doi.org/10.1016/j.compgeo.2008.11.001
Publication status	Published - 2009

Keywords

Lagrangian, Eulerian methods
contact mechanics
inertia (mechanics)
large scale systems

Access to Document

10.1016/j.compgeo.2008.11.001

Cite this

@article{98dc38dbf87840dfa954a01172a6a350,

title = "Arbitrary Lagrangian-Eulerian method for dynamic analysis of geotechnical problems",

abstract = "In this paper an arbitrary Lagrangian-Eulerian (ALE) method to solve dynamic problems involving large deformation is presented. This ALE method is based upon the operator-split technique in which the material displacements and mesh displacements are uncoupled. A brief history of the ALE method is first presented and then special issues such as time-stepping, mesh refinement, energy absorbing boundaries, dynamic equilibrium checks and remapping of state variables are explained. The ALE method and the updated-lagrangian (UL) method are then used to analyse some geotechnical problems to examine the significance of inertia effects, large deformation and contact mechanics. The results show the efficiency of the ALE method for solving dynamic geotechnical problems involving large deformation.",

keywords = "Lagrangian, Eulerian methods, contact mechanics, inertia (mechanics), large scale systems",

author = "M. Nazem and Carter, {J. P.} and Airey, {D. W.}",

year = "2009",

doi = "10.1016/j.compgeo.2008.11.001",

language = "English",

volume = "36",

pages = "549--557",

journal = "Computers and Geotechnics",

issn = "0266-352X",

publisher = "Elsevier B.V.",

number = "4",

}

TY - JOUR

T1 - Arbitrary Lagrangian-Eulerian method for dynamic analysis of geotechnical problems

AU - Nazem, M.

AU - Carter, J. P.

AU - Airey, D. W.

PY - 2009

Y1 - 2009

N2 - In this paper an arbitrary Lagrangian-Eulerian (ALE) method to solve dynamic problems involving large deformation is presented. This ALE method is based upon the operator-split technique in which the material displacements and mesh displacements are uncoupled. A brief history of the ALE method is first presented and then special issues such as time-stepping, mesh refinement, energy absorbing boundaries, dynamic equilibrium checks and remapping of state variables are explained. The ALE method and the updated-lagrangian (UL) method are then used to analyse some geotechnical problems to examine the significance of inertia effects, large deformation and contact mechanics. The results show the efficiency of the ALE method for solving dynamic geotechnical problems involving large deformation.

AB - In this paper an arbitrary Lagrangian-Eulerian (ALE) method to solve dynamic problems involving large deformation is presented. This ALE method is based upon the operator-split technique in which the material displacements and mesh displacements are uncoupled. A brief history of the ALE method is first presented and then special issues such as time-stepping, mesh refinement, energy absorbing boundaries, dynamic equilibrium checks and remapping of state variables are explained. The ALE method and the updated-lagrangian (UL) method are then used to analyse some geotechnical problems to examine the significance of inertia effects, large deformation and contact mechanics. The results show the efficiency of the ALE method for solving dynamic geotechnical problems involving large deformation.

KW - Lagrangian, Eulerian methods

KW - contact mechanics

KW - inertia (mechanics)

KW - large scale systems

UR - http://handle.uws.edu.au:8081/1959.7/uws:31147

U2 - 10.1016/j.compgeo.2008.11.001

DO - 10.1016/j.compgeo.2008.11.001

M3 - Article

SN - 0266-352X

VL - 36

SP - 549

EP - 557

JO - Computers and Geotechnics

JF - Computers and Geotechnics

IS - 4

ER -

Arbitrary Lagrangian-Eulerian method for dynamic analysis of geotechnical problems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this