Scaled boundary finite element method for compressible and nearly incompressible elasticity over arbitrary polytopes

Lakshmi Narasimha Pramod Aladurthi; Sundararajan Natarajan; Ean Tat Ooi; Chongmin Song

doi:10.1002/nme.6095

Scaled boundary finite element method for compressible and nearly incompressible elasticity over arbitrary polytopes

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6095 ◽

2019 ◽

Vol 119 (13) ◽

pp. 1379-1394

Author(s):

Lakshmi Narasimha Pramod Aladurthi ◽

Sundararajan Natarajan ◽

Ean Tat Ooi ◽

Chongmin Song

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Scaled Boundary Finite Element ◽

Element Method

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A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2594 ◽

2009 ◽

Vol 79 (7) ◽

pp. 870-886 ◽

Cited By ~ 11

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Non Linear ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20683 ◽

2011 ◽

Vol 28 (4) ◽

pp. 1336-1353 ◽

Cited By ~ 8

Author(s):

Bishnu P. Lamichhane ◽

Ernst P. Stephan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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A finite element method for nearly incompressible elasticity problems

Mathematics of Computation ◽

10.1090/s0025-5718-04-01662-x ◽

2004 ◽

Vol 74 (249) ◽

pp. 25-53 ◽

Cited By ~ 9

Author(s):

Dietrich Braess ◽

Pingbing Ming

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elasticity Problems ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.09.056 ◽

2014 ◽

Vol 260 ◽

pp. 356-363 ◽

Cited By ~ 4

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Primal And Dual ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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A linear nonconforming finite element method for nearly incompressible elasticity and stokes flow

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00829-p ◽

1995 ◽

Vol 124 (3) ◽

pp. 195-212 ◽

Cited By ~ 53

Author(s):

Reijo Kouhia ◽

Rolf Stenberg

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Flow ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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A stabilized mixed finite element method based on g-biorthogonal systems for nearly incompressible elasticity

Computers & Structures ◽

10.1016/j.compstruc.2014.02.008 ◽

2014 ◽

Vol 140 ◽

pp. 48-54 ◽

Cited By ~ 5

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Stabilized Mixed Finite Element ◽

Element Method

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Buckling analysis of three-dimensional functionally graded sandwich plates using two-dimensional scaled boundary finite element method

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2020.1866125 ◽

2021 ◽

pp. 1-16

Author(s):

Wenbin Ye ◽

Jun Liu ◽

Quansheng Zang ◽

Zhao Yin ◽

Gao Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Three Dimensional ◽

Buckling Analysis ◽

Functionally Graded ◽

Sandwich Plates ◽

Two Dimensional ◽

Scaled Boundary Finite Element ◽

Element Method

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An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113766 ◽

2021 ◽

Vol 381 ◽

pp. 113766

Author(s):

Shukai Ya ◽

Sascha Eisenträger ◽

Chongmin Song ◽

Jianbo Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Open Source ◽

Polyhedral Meshes ◽

Scaled Boundary Finite Element ◽

Element Method

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Scaled Boundary Finite Element Method for hydrodynamic bearings in rotordynamic simulations

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2021.106427 ◽

2021 ◽

pp. 106427

Author(s):

Simon Pfeil ◽

Hauke Gravenkamp ◽

Fabian Duvigneau ◽

Elmar Woschke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hydrodynamic Bearings ◽

Scaled Boundary Finite Element ◽

Element Method

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A finite fracture mechanics approach for interlaminar crack initiation using the scaled boundary finite element method

PAMM ◽

10.1002/pamm.201900163 ◽

2019 ◽

Vol 19 (1) ◽

Author(s):

Sebastian Dölling ◽

Sophia Bremm ◽

Sascha Hell ◽

Wilfried Becker

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fracture Mechanics ◽

Crack Initiation ◽

Finite Fracture Mechanics ◽

Interlaminar Crack ◽

Scaled Boundary Finite Element ◽

Element Method

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