Crystallographic Aspects of Dislocations. Outline Slip Systems BCC, FCC, HCP Cross Slip Partial Dislocations Stacking Faults The Thompson Tetrahedron

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  • Slide 1
  • Crystallographic Aspects of Dislocations
  • Slide 2
  • Outline Slip Systems BCC, FCC, HCP Cross Slip Partial Dislocations Stacking Faults The Thompson Tetrahedron Fancy Stuff Frank rule, Frank loop, Lomer lock, Lomer-Cotrell dislocations, prismatic dislocations 22.71: Physical MetallurgyProf. Michael P. Short, P. 2
  • Slide 3
  • Slip Systems Systems of planes and directions that make dislocation movement easy 22.71: Physical MetallurgyProf. Michael P. Short, P. 3 Different views of FCC supercell http://ilan.schnell-web.net/physics/fcc/
  • Slide 4
  • Slip Systems Systems of planes and directions that make dislocation movement easy 22.71: Physical MetallurgyProf. Michael P. Short, P. 4 Different views of FCC supercell http://ilan.schnell-web.net/physics/fcc/
  • Slide 5
  • Slip Systems Systems of planes and directions that make dislocation movement easy 22.71: Physical MetallurgyProf. Michael P. Short, P. 5 Different views of FCC supercell http://ilan.schnell-web.net/physics/fcc/
  • Slide 6
  • Counting Slip Systems Multiply: Number of non-parallel planes Number of close packed directions per plane 22.71: Physical MetallurgyProf. Michael P. Short, P. 6 k h l Same slip planes!
  • Slide 7
  • In Class Draw primary slip systems for FCC, BCC, and HCP crystal systems 22.71: Physical MetallurgyProf. Michael P. Short, P. 7
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  • Evidence of Slip Systems 22.71: Physical MetallurgyProf. Michael P. Short, P. 8 http://www.doitpoms.ac.uk/tlplib/slip/printall.php
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  • Side Note: Twinning Bands can flip to mirror image of surrounding crystal 22.71: Physical MetallurgyProf. Michael P. Short, P. 9 Annealing twins in brass http://www.doitpoms.ac.uk/tlplib/miller_indices/printall.php
  • Slide 10
  • Side Note: Twinning 22.71: Physical MetallurgyProf. Michael P. Short, P. 10 Alternate plastic deformation mechanism http://moisespinedacaf.blogspot.com/ http://dcg.materials.drexel.edu/?page_id=14#nuclear Twinning observed in irradiated reactor pressure vessel steel
  • Slide 11
  • 22.71: Physical MetallurgyProf. Michael P. Short, P. 11 Twinning MIT Dept. of Nuclear Science & Engineering 22.74: Radiation Damage & Effects in Nuclear Materials Prof. Michael P. Short Page 11 http://dcg.materials.drexel.edu/?page_id=14#nuclear Differently oriented dislocations inside/outside twin boundary!
  • Slide 12
  • Evidence of Slip Systems 22.71: Physical MetallurgyProf. Michael P. Short, P. 12 A scanning electron micrograph of a single crystal of cadmium deforming by dislocation slip on 100 planes, forming steps on the surface http://www.doitpoms.ac.uk/tlplib/miller_indices/printall.php
  • Slide 13
  • Evidence of Slip Systems 22.71: Physical MetallurgyProf. Michael P. Short, P. 13 Nanopillar compression tests using a diamond flat punch Clear 45 degree angles observed Slip systems activated by shear N. Friedman et al. Phys. Rev. Lett. 109, 095507 (2012)
  • Slide 14
  • Evidence of Slip Systems 22.71: Physical MetallurgyProf. Michael P. Short, P. 14 Nanopillar compression tests using a diamond flat punch Clear 45 degree angles observed Slip systems activated by shear S. Brinckmann et al. Phys. Rev. Lett. 100, 155502 (2008)
  • Slide 15
  • Secondary Slip Systems When something blocks a primary slip system, a secondary slip system may activate Only if it is energetically favorable to continue deforming What happens if a secondary system cant activate? 22.71: Physical MetallurgyProf. Michael P. Short, P. 15
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  • Cross Slip Dislocation switches slip systems if it get stuck Example: pinned screw dislocation 22.71: Physical MetallurgyProf. Michael P. Short, P. 16 time Derek Hull and David J. Bacon, Introduction to dislocations, 4th ed. (Butterworth-Heinemann, Oxford, 2001).
  • Slide 17
  • Cross Slip 22.71: Physical MetallurgyProf. Michael P. Short, P. 17 Allen & Thomas, p. 100 k h l [101]
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  • Slip Systems Slip directions partially or fully enclose slip planes 22.71: Physical MetallurgyProf. Michael P. Short, P. 18 Allen & Thomas, The Structure of Materials, p. 116
  • Slide 19
  • HCP Slip Systems 22.71: Physical MetallurgyProf. Michael P. Short, P. 19 Ideal c/a = 1.63299 a 1 c a2a2 1122 24 [0001] 1011
  • Slide 20
  • Partial Dislocations Look carefully at the (111) plane in FCC How many ways can atom A move to location B? 22.71: Physical MetallurgyProf. Michael P. Short, P. 20 A B A B
  • Slide 21
  • Partial Dislocations Look carefully at the (111) plane in FCC How many ways can atom A move to location B? 22.71: Physical MetallurgyProf. Michael P. Short, P. 21 A B A B
  • Slide 22
  • Partial Dislocations A perfect dislocation can split into two partials 22.71: Physical MetallurgyProf. Michael P. Short, P. 22 Allen & Thomas, p. 119 These move in unison
  • Slide 23
  • Partial Dislocations A perfect dislocation can split into two partials 22.71: Physical MetallurgyProf. Michael P. Short, P. 23 Allen & Thomas, p. 117
  • Slide 24
  • Partial Dislocation Separation After formation, the two partials repel each other Why? 22.71: Physical MetallurgyProf. Michael P. Short, P. 24 Opposite screw parts attract Parallel edge parts repel
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  • Stacking Faults The shifted portion of the partial dislocation is a stacking fault Atomic stacking order into the screen has changed Was ABCA / BCABCABC Now it is ABCA / CABCABC 22.71: Physical MetallurgyProf. Michael P. Short, P. 25
  • Slide 26
  • Stacking Fault Energy (SFE) 22.71: Physical MetallurgyProf. Michael P. Short, P. 26
  • Slide 27
  • The Thompson Tetrahedron 22.71: Physical MetallurgyProf. Michael P. Short, P. 27 http://imechanica.org/files/Partial%20Dislocation%20Tutorial%20for%20FCC%20Metals.pdf
  • Slide 28
  • Lomer-Cottrell Dislocation Two partials hit at 60 degree angles Each consists of a leading and trailing partial Leading partial intersections will form a new full edge dislocation 22.71: Physical MetallurgyProf. Michael P. Short, P. 28 http://imechanica.org/files/Partial%20Dislocation%20Tutorial%20for%20FCC%20Metals.pdf
  • Slide 29
  • Lomer-Cottrell Dislocation 22.71: Physical MetallurgyProf. Michael P. Short, P. 29 http://imechanica.org/files/Partial%20Dislocation%20Tutorial%20for%20FCC%20Metals.pdf Lomer-Cottrell Dislocation Determination
  • Slide 30
  • Lomer Lock Both original dislocations (BC and DB) were in slip planes Is the new dislocation in any slip planes? What happens next? 22.71: Physical MetallurgyProf. Michael P. Short, P. 30
  • Slide 31
  • What Happens When Dislocations Get Stuck? When bits get pinned, they can bow out creating Frank-Read sources 22.71: Physical MetallurgyProf. Michael P. Short, P. 31 http://youtu.be/Db85wOCWJkU
  • Slide 32
  • Dislocation Loops 22.71: Physical MetallurgyProf. Michael P. Short, P. 32 Loops have mixed edge/screw character May be circular planes of atoms between two planes
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  • Frank-Read Loop Sources 22.71: Physical MetallurgyProf. Michael P. Short, P. 33 Come from sessile sections of dislocations Old strain direction
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  • Frank-Read Loop Sources 22.71: Physical MetallurgyProf. Michael P. Short, P. 34 http://virtualexplorer.com.au/special/meansvolume/contribs/wilson/Generation.html http://www.numodis.fr/tridis/TEM/recordings/FR_loin_53.mpg
  • Slide 35
  • Forces Between Dislocations 22.71: Physical MetallurgyProf. Michael P. Short, P. 35 X & Y forces, no Z-force Burgers vector of dislocation (2) transposed Line vector of dislocation (2) transposed Stress tensor induced by dislocation (1) Force vector on dislocation (2) Peach-Kohler Equation
  • Slide 36
  • Forces Lead to Pileup 22.71: Physical MetallurgyProf. Michael P. Short, P. 36 http://youtu.be/r-geDwE8Z5Y Dislocations moving & piling up in Inconel 617 (Ni-based alloy) under in- situ straining in the TEM
  • Slide 37
  • Forces Lead to Grain Boundaries 22.71: Physical MetallurgyProf. Michael P. Short, P. 37 http://www.tf.uni-kiel.de/matwis/amat/def_en/kap_7/backbone/r7_2_1.html Tilt grain boundary in Al http://moisespinedacaf.blogspot.com/