Estimation of the full Nye's tensor and its gradients by micro-mechanical stereo-inference using EBSD dislocation microscopy

International Journal of Plasticity

Volumn 50, Issue , 2013, Pages 146-157

  Hardin, Thomas J ^a   Adams, Brent L ^a   Fullwood, David T ^a   Wagoner, Robert H ^b   Homer, Eric R ^a  

^a Brigham Young University   (United States)

^b The Ohio State University   (United States)

Author keywords

Dislocations; Elastic material; Electron microscopy; Numerical algorithms

Indexed keywords

ELASTIC DISTORTION; ELASTIC MATERIALS; MICRO-MECHANICAL; NUMERICAL ALGORITHMS; SIMULATED MICROSTRUCTURES; STRESS EQUILIBRIUM EQUATION; TENSOR COMPONENTS; TENSOR GRADIENTS;

ALGORITHMS; DISLOCATIONS (CRYSTALS); ELECTRON MICROSCOPY; RANDOM ERRORS;

TENSORS;

EID: 84882284850     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2013.04.006     Document Type: Article

References (26)

1. Brent L. Adams, Surya R. Kalidindi, and David T. Fullwood Chapter 16 - electron backscatter diffraction microscopy and basic stereology Microstructure Sensitive Design for Performance Optimization 2013 Butterworth-Heinemann Boston pp. 341-371
2. A. Arsenlis, and D.M. Parks Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density Acta Materialia 47 5 1999 1597 1611
3. Jay Basinger, David Fullwood, Josh Kacher, and Brent Adams Pattern center determination in electron backscatter diffraction microscopy Microscopy and Microanalysis 17 2011 330 340
4. T. Ben Britton, Soran Birosca, Michael Preuss, and Angus J. Wilkinson Electron backscatter diffraction study of dislocation content of a macrozone in hot-rolled ti6al4v alloy Scripta Materialia 62 9 2010 639 642
5. T.B. Britton, and A.J. Wilkinson Measurement of residual elastic strain and lattice rotations with high resolution electron backscatter diffraction Ultramicroscopy 111 8 2011 1395 1404
6. Marion Calcagnotto, Dirk Ponge, Eralp Demir, and Dierk Raabe Orientation gradients and geometrically necessary dislocations in ultrafine grained dual-phase steels studied by 2D and 3D EBSD Materials Science and Engineering: A 527 1011 2010 2738 2746
7. Eralp Demir, Dierk Raabe, Nader Zaafarani, and Stefan Zaefferer Investigation of the indentation size effect through the measurement of the geometrically necessary dislocations beneath small indents of different depths using EBSD tomography Acta Materialia 57 2 2009 559 569
8. L.P. Evers, D.M. Parks, W.A.M. Brekelmans, and M.G.D. Geers Crystal plasticity model with enhanced hardening by geometrically necessary dislocation accumulation Journal of the Mechanics and Physics of Solids 50 2002 2403 2424
9. M.C. Fivel, T.J. Gosling, and G.R. Canova Implementing image stresses in a 3d dislocation simulation Modelling and Simulation in Materials Science and Engineering 4 6 1996 581 596
10. Calvin Gardner, Brent L. Adams, John Basinger, and David Fullwood EBSD-based continuum dislocation microscopy International Journal of Plasticity 26 8 2010 1234 1247
11. T.J. Hardin, B.L. Adams, and D.T. Fullwood Recovering the full dislocation tensor from high-resolution EBSD microscopy Jinghong Fan, Advances in Heterogeneous Material Mechanics 2011 DEStech Publications Inc. 169 177
12. E. Kröner Kominuumstheorie der versetzungen and eigenspannungen Ergeb. Angew. Math. 5 1958
13. J.W. Kysar, Y. Saito, M.S. Oztop, D. Lee, and W.T. Huh Experimental lower bounds on geometrically necessary dislocation density International Journal of Plasticity 26 8 2010 1097 1123 (Special Issue In Honor of Lallit Anand)
14. X.H. Liu, and K.W. Schwarz Modelling of dislocations intersecting a free surface Modelling and Simulation in Materials Science and Engineering 13 8 2005 1233 1247
15. A. Ma, F. Roters, and D. Raabe A dislocation density based constitutive model for crystal plasticity fem including geometrically necessary dislocations Acta Materialia 54 2006 2169 2179
16. Chi-Sing Man, Xiang Gao, Scott Godefroy, and Edward A. Kenik Estimating geometric dislocation densities in polycrystalline materials from orientation imaging microscopy International Journal of Plasticity 26 3 2010 423 440
17. Toshio Mura second ed. Micromechanics of Defects in Solids 1991 Kluwer Academic Publishers Dordrecht, The Netherlands
18. J.F. Nye Some geometrical relations in dislocated crystals Acta Metallurgica 1 1953 153 162
19. W. Pantleon Resolving the geometrically necessary dislocation content by conventional electron backscattering diffraction Scripta Materialia 58 2008 994 997
20. F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, and D. Raabe Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications Acta Materialia 58 2010 1152 1211
21. Ruggles, T.J., Fullwood, D.T., 2012. Estimations of bulk geometrically necessary dislocation density using high resolution EBSD., Ultramicroscopy, in press. http://dx.doi.org/10.1016/j.ultramic.2013.04.011.
22. Cristian Teodosiu Elastic Models of Crystal Defects 1982 Springer New York
23. Vito Volterra Sur l'equilibre des carps elastiques miltiplement connexes Annales Scientifiques de l'cole Normale Suprieure 24 1907 401 517
24. Angus J. Wilkinson, and T. Ben Britton Strains, planes, and EBSD in materials science Materials Today 15 9 2012 366 376
25. Angus J. Wilkinson, Graham Meaden, and David J. Dingley High-resolution elastic strain measurement from electron backscatter diffraction patterns: new levels of sensitivity Ultramicroscopy 106 4-5 2006 307 313
26. Lincan Yan, Tariq A. Khraishi, Yu-Lin Shen, and Mark F. Horstemeyer A distributed-dislocation method for treating free-surface image stresses in three-dimensional dislocation dynamics simulations Modelling and Simulation in Materials Science and Engineering 12 4 2004 S289 S301