Numerical integration of rate-independent BCC single crystal plasticity models: comparative study of two classes of numerical algorithms

Holanyo K. Akpama; Mohamed Ben Bettaieb; Farid Abed-Meraim

doi:10.1002/nme.5215

Numerical integration of rate-independent BCC single crystal plasticity models: comparative study of two classes of numerical algorithms

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5215 ◽

2016 ◽

Vol 108 (5) ◽

pp. 363-422 ◽

Cited By ~ 12

Author(s):

Holanyo K. Akpama ◽

Mohamed Ben Bettaieb ◽

Farid Abed-Meraim

Keyword(s):

Comparative Study ◽

Single Crystal ◽

Numerical Integration ◽

Crystal Plasticity ◽

Numerical Algorithms ◽

Single Crystal Plasticity

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A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on densities of geometrically necessary dislocations

International Journal of Plasticity ◽

10.1016/j.ijplas.2007.07.014 ◽

2008 ◽

Vol 24 (4) ◽

pp. 702-725 ◽

Cited By ~ 93

Author(s):

Morton E. Gurtin

Keyword(s):

Free Energy ◽

Single Crystal ◽

Crystal Plasticity ◽

Finite Deformation ◽

Deformation Gradient ◽

Gradient Theory ◽

Single Crystal Plasticity ◽

Energy Dependent

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Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single‐Crystal Plasticity

Multiscale Modeling and Simulation ◽

10.1137/060662332 ◽

2007 ◽

Vol 6 (1) ◽

pp. 135-157 ◽

Cited By ~ 21

Author(s):

Sergio Conti ◽

Patrice Hauret ◽

Michael Ortiz

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Deformation Microstructure ◽

Local Enrichment ◽

Single Crystal Plasticity

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Characterization of yielding behavior of polycrystalline metals with single crystal plasticity based on representative characteristic length

International Journal of Plasticity ◽

10.1016/j.ijplas.2009.09.005 ◽

2010 ◽

Vol 26 (4) ◽

pp. 570-585 ◽

Cited By ~ 22

Author(s):

Ikumu Watanabe ◽

Daigo Setoyama ◽

Noritoshi Iwata ◽

Koukichi Nakanishi

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Characteristic Length ◽

Polycrystalline Metals ◽

Yielding Behavior ◽

Single Crystal Plasticity

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BCC single crystal plasticity modeling and its experimental identification

Modelling and Simulation in Materials Science and Engineering ◽

10.1088/0965-0393/16/8/085007 ◽

2008 ◽

Vol 16 (8) ◽

pp. 085007 ◽

Cited By ~ 61

Author(s):

T Yalcinkaya ◽

W A M Brekelmans ◽

M G D Geers

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Experimental Identification ◽

Single Crystal Plasticity

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COMPARATIVE STUDY OF SINGLE CRYSTAL CONSTITUTIVE EQUATIONS FOR CRYSTAL PLASTICITY FINITE ELEMENT ANALYSIS

Engineering Plasticity and Its Applications From Nanoscale to Macroscale ◽

10.1142/9789814261579_0003 ◽

2009 ◽

Author(s):

MYOUNG GYU LEE ◽

ROBERT H. WAGONER ◽

SUNG-JOON KIM

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Comparative Study ◽

Single Crystal ◽

Crystal Plasticity ◽

Constitutive Equations ◽

Element Analysis ◽

Crystal Plasticity Finite Element

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A single crystal plasticity finite element formulation with embedded deformation twins

Journal of the Mechanics and Physics of Solids ◽

10.1016/j.jmps.2019.103723 ◽

2019 ◽

Vol 133 ◽

pp. 103723 ◽

Cited By ~ 1

Author(s):

Tao Jin ◽

Hashem M. Mourad ◽

Curt A. Bronkhorst ◽

Irene J. Beyerlein

Keyword(s):

Finite Element ◽

Single Crystal ◽

Crystal Plasticity ◽

Finite Element Formulation ◽

Element Formulation ◽

Crystal Plasticity Finite Element ◽

Deformation Twins ◽

Single Crystal Plasticity

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Phase-field modelling of fracture in single crystal plasticity

GAMM-Mitteilungen ◽

10.1002/gamm.201610002 ◽

2016 ◽

Vol 39 (1) ◽

pp. 7-34 ◽

Cited By ~ 9

Author(s):

L. De Lorenzis ◽

A. McBride ◽

B.D. Reddy

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Phase Field ◽

Field Modelling ◽

Single Crystal Plasticity

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The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. Part 2: single-crystal plasticity

Continuum Mechanics and Thermodynamics ◽

10.1007/s00161-011-0195-8 ◽

2011 ◽

Vol 23 (6) ◽

pp. 551-572 ◽

Cited By ~ 36

Author(s):

B. D. Reddy

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Strain Gradient ◽

Strain Gradient Plasticity ◽

Gradient Plasticity ◽

Defect Energy ◽

Single Crystal Plasticity ◽

Variational Formulations

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Effect of defect energy on strain-gradient predictions of confined single-crystal plasticity

Journal of the Mechanics and Physics of Solids ◽

10.1016/j.jmps.2005.02.001 ◽

2005 ◽

Vol 53 (6) ◽

pp. 1280-1294 ◽

Cited By ~ 42

Author(s):

L NICOLA ◽

E VANDERGIESSEN ◽

M GURTIN

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Strain Gradient ◽

Defect Energy ◽

Single Crystal Plasticity

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A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations

International Journal of Plasticity ◽

10.1016/j.ijplas.2010.02.002 ◽

2010 ◽

Vol 26 (8) ◽

pp. 1073-1096 ◽

Cited By ~ 45

Author(s):

Morton E. Gurtin

Keyword(s):

Free Energy ◽

Single Crystal ◽

Crystal Plasticity ◽

Finite Deformation ◽

Deformation Gradient ◽

Gradient Theory ◽

Single Crystal Plasticity ◽

Energy Dependent

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