Single-Crystal Plasticity at Small Length Scales: A Large-Deformation Gradient Theory

The Mechanics and Thermodynamics of Continua ◽

10.1017/cbo9780511762956.128 ◽

2012 ◽

pp. 653-662

Author(s):

Morton E. Gurtin ◽

Eliot Fried ◽

Lallit Anand

Keyword(s):

Single Crystal ◽

Large Deformation ◽

Crystal Plasticity ◽

Deformation Gradient ◽

Gradient Theory ◽

Small Length ◽

Length Scales ◽

Single Crystal Plasticity

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Single-Crystal Plasticity at Small Length-Scales: A Small-Deformation Gradient Theory

The Mechanics and Thermodynamics of Continua ◽

10.1017/cbo9780511762956.120 ◽

2012 ◽

pp. 604-620

Author(s):

Morton E. Gurtin ◽

Eliot Fried ◽

Lallit Anand

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Deformation Gradient ◽

Small Deformation ◽

Gradient Theory ◽

Small Length ◽

Length Scales ◽

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 ◽

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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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 ◽

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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The stored energy of cold work, thermal annealing, and other thermodynamic issues in single crystal plasticity at small length scales

International Journal of Plasticity ◽

10.1016/j.ijplas.2014.07.009 ◽

2015 ◽

Vol 64 ◽

pp. 1-25 ◽

Author(s):

Lallit Anand ◽

Morton E. Gurtin ◽

B. Daya Reddy

Keyword(s):

Single Crystal ◽

Thermal Annealing ◽

Crystal Plasticity ◽

Cold Work ◽

Stored Energy ◽

Small Length ◽

Length Scales ◽

Single Crystal Plasticity

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A gradient theory for single-crystal plasticity

Modelling and Simulation in Materials Science and Engineering ◽

10.1088/0965-0393/15/1/s20 ◽

2006 ◽

Vol 15 (1) ◽

pp. S263-S270 ◽

Author(s):

Morton E Gurtin ◽

Lallit Anand

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Gradient Theory ◽

Single Crystal Plasticity

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A gradient theory of small-deformation, single-crystal plasticity that accounts for GND-induced interactions between slip systems

Journal of the Mechanics and Physics of Solids ◽

10.1016/j.jmps.2010.10.005 ◽

2011 ◽

Vol 59 (2) ◽

pp. 320-343 ◽

Author(s):

Morton E. Gurtin ◽

Nobutada Ohno

Keyword(s):

Single Crystal ◽

Crystal Plasticity ◽

Small Deformation ◽

Gradient Theory ◽

Slip Systems ◽

Single Crystal Plasticity

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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 ◽

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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A large-deformation gradient theory for elastic–plastic materials: Strain softening and regularization of shear bands

International Journal of Plasticity ◽

10.1016/j.ijplas.2011.10.002 ◽

2012 ◽

Vol 30-31 ◽

pp. 116-143 ◽

Author(s):

Lallit Anand ◽

Ozgur Aslan ◽

Shawn A. Chester

Keyword(s):

Large Deformation ◽

Strain Softening ◽

Deformation Gradient ◽

Shear Bands ◽

Gradient Theory ◽

Elastic Plastic ◽

Plastic Materials ◽

Elastic Plastic Materials

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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 ◽

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 ◽

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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