Low‐order locking‐free mixed finite element formulation with approximation of the minors of the deformation gradient

Alex Kraus; Peter Wriggers; Nils Viebahn; Jörg Schröder

doi:10.1002/nme.6168

Low‐order locking‐free mixed finite element formulation with approximation of the minors of the deformation gradient

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6168 ◽

2019 ◽

Vol 120 (8) ◽

pp. 1011-1026

Author(s):

Alex Kraus ◽

Peter Wriggers ◽

Nils Viebahn ◽

Jörg Schröder

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Deformation Gradient ◽

Finite Element Formulation ◽

Element Formulation ◽

Low Order

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Elastic-viscoplastic modeling of soft biological tissues using a mixed finite element formulation based on the relative deformation gradient

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.2654 ◽

2014 ◽

Vol 30 (11) ◽

pp. 1238-1262 ◽

Cited By ~ 18

Author(s):

J. Weickenmeier ◽

M. Jabareen

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Deformation Gradient ◽

Biological Tissues ◽

Finite Element Formulation ◽

Element Formulation ◽

Relative Deformation ◽

Soft Biological Tissues

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A novel mixed finite element formulation based on the refined zigzag theory for the stress analysis of laminated composite plates

Composite Structures ◽

10.1016/j.compstruct.2021.113886 ◽

2021 ◽

Vol 267 ◽

pp. 113886

Author(s):

Akif Kutlu ◽

Mehmet Dorduncu ◽

Timon Rabczuk

Keyword(s):

Finite Element ◽

Stress Analysis ◽

Mixed Finite Element ◽

Laminated Composite ◽

Composite Plates ◽

Finite Element Formulation ◽

Element Formulation ◽

Laminated Composite Plates ◽

Zigzag Theory

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Analysis of orthotropic plate-foundation interaction by mixed finite element formulation using Gâteaux differential

Computers & Structures ◽

10.1016/s0045-7949(96)00289-1 ◽

1997 ◽

Vol 62 (1) ◽

pp. 93-106 ◽

Cited By ~ 12

Author(s):

Y. Özçelikörs ◽

M.H. Omurtag ◽

H. Demir

Keyword(s):

Finite Element ◽

Orthotropic Plate ◽

Mixed Finite Element ◽

Finite Element Formulation ◽

Element Formulation

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Transparent boundary conditions for the shallow water equations with a mixed finite element formulation

Applied Numerical Mathematics ◽

10.1016/s0168-9274(02)00140-x ◽

2003 ◽

Vol 44 (1-2) ◽

pp. 109-138 ◽

Cited By ~ 3

Author(s):

Astrid Holstad ◽

Ivar Lie

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

Mixed Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Transparent Boundary Conditions

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Mixed finite element formulation of algorithms for double-diffusive convection in a fluid-saturated porous medium

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.940 ◽

2006 ◽

Vol 23 (11) ◽

pp. 983-1022 ◽

Cited By ~ 5

Author(s):

J. C.-F. Wong ◽

P. Yuan

Keyword(s):

Finite Element ◽

Porous Medium ◽

Saturated Porous Medium ◽

Mixed Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Double Diffusive Convection ◽

Diffusive Convection ◽

Fluid Saturated Porous Medium ◽

Double Diffusive

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Mixed finite element formulation for geometrically non-linear analysis of shells of revolution

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620120203 ◽

1978 ◽

Vol 12 (2) ◽

pp. 195-201 ◽

Cited By ~ 4

Author(s):

H. Tottenham ◽

S. Y. Barony

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Linear Analysis ◽

Finite Element Formulation ◽

Element Formulation ◽

Shells Of Revolution ◽

Non Linear

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Accurate nonlinear modeling for flexible manipulators using mixed finite element formulation in order to obtain maximum allowable load

Journal of Mechanical Science and Technology ◽

10.1007/s12206-015-0842-2 ◽

2015 ◽

Vol 29 (9) ◽

pp. 3971-3982 ◽

Cited By ~ 7

Author(s):

Habib Esfandiar ◽

Moharam Habibnejad Korayem

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Nonlinear Modeling ◽

Finite Element Formulation ◽

Element Formulation ◽

Flexible Manipulators ◽

Allowable Load

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On modelling large deformations of heterogeneous biological tissues using a mixed finite element formulation

Computer Methods in Biomechanics & Biomedical Engineering ◽

10.1080/10255842.2013.818662 ◽

2013 ◽

Vol 18 (5) ◽

pp. 477-484 ◽

Cited By ~ 6

Author(s):

Tim Wu ◽

Alice P.-L. Hung ◽

Peter Hunter ◽

Kumar Mithraratne

Keyword(s):

Finite Element ◽

Large Deformations ◽

Mixed Finite Element ◽

Biological Tissues ◽

Finite Element Formulation ◽

Element Formulation

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Analysis of composite beams in the hogging moment regions using a mixed finite element formulation

Journal of Constructional Steel Research ◽

10.1016/j.jcsr.2008.07.026 ◽

2009 ◽

Vol 65 (3) ◽

pp. 737-748 ◽

Cited By ~ 27

Author(s):

Quang Huy Nguyen ◽

Mohammed Hjiaj ◽

Brian Uy ◽

Samy Guezouli

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Composite Beams ◽

Finite Element Formulation ◽

Element Formulation

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Mixed Finite-Element Formulation Based on Refined Sinusoidal Model for Buckling of Layered Beams

Journal of Aerospace Engineering ◽

10.1061/(asce)as.1943-5525.0001125 ◽

2020 ◽

Vol 33 (4) ◽

pp. 04020030

Author(s):

Ren Xiaohui ◽

Wu Zhen

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Sinusoidal Model ◽

Layered Beams

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