References
- E.C. Burke, and W.R. Hibbard, Plastic deformation of magnesium single crystals, Trans. Metall. Soc. AIME 194 (1952), pp. 295–303. doi:10.1007/BF03397694.
- J. Castaing, P. Veyssiere, L.P. Kubin, and J. Rabier, The plastic deformation of silicon between 300°C and 600°C, Philos. Mag. 44 (1981), pp. 1407–1413. doi:10.1080/01418618108235821.
- A. Mussi, J. Rabier, L. Thilly, and J.L. Demenet, Plasticity and deformation microstructure of 4H-SiC below the brittle-to-ductile transition, Phys. Status Solidi C 4 (2007), pp. 2929–2933. doi:10.1002/pssc.200675438.
- A. Mussi, L. Thilly, J. Rabier, and J.L. Demenet, Determination of mechanical properties of parallelepiped materials embedded in solid medium and deformed under confining pressure, Mater. Sci. Eng. A 478 (2008), pp. 140–146. doi:10.1016/j.msea.2007.05.119.
- L. Patriarca, A. Ojha, H. Sehitoglu, and Y.I. Chumlyakov, Slip nucleation in single crystal FeNiCoCrMn high entropy alloy, Scripta Mater. 112 (2016), pp. 54–57. doi:10.1016/j.scriptamat.2015.09.009.
- P. Raterron, J. Chen, L. Li, D. Weidner, and P. Cordier, Pressure-induced slip-system transition in forsterite: Single-crystal rheological properties at mantle pressure and temperature, Am. Mineral. 92 (2007), pp. 1436–1445. doi:10.2138/am.2007.2474.
- S. Demouchy, A. Tommasi, T.B. Ballaran, and P. Cordier, Low strength of Earth’s uppermost mantle inferred from tri-axial deformation experiments on dry olivine crystals, Phys. Earth Planet. Inter. 220 (2013), pp. 37–49. doi:10.1016/j.pepi.2013.04.008.
- P. Cordier, E. Thurel, and J. Rabier, Stress determination in multianvil deformation experiments based on dislocation curvatures measurements: Application to wadsleyite and ringwoodite, Geophys. Res. Lett. 29 (2002), 68-1–68-4. doi:10.1029/2001GL014172.
- A. Mussi, P. Cordier, and S. Demouchy, Characterization of dislocation interactions in olivine using electron tomography, Philos. Mag. 95 (2015), pp. 335–345. doi:10.1080/14786435.2014.1000996.
- A. Mussi, M. Nafi, S. Demouchy, and P. Cordier, On the deformation mechanism of olivine single crystals at lithospheric temperatures: An electron tomography study, Eur. J. Mineral. 27 (2015), pp. 707–715. doi:10.1127/ejm/2015/0027-2481.
- R. Madec, B. Devincre, L.P. Kubin, T. Hoc, and D. Rodney, The role of collinear interaction in dislocation-induced hardening, Science 301 (2003), pp. 1879–1882. doi:10.1126/science.1085477.
- A. Mussi, P. Cordier, S. Demouchy, and C. Vanmansart, Characterization of the glide planes of the [001] screw dislocations in olivine using electron tomography, Phys. Chem. Miner. 41 (2014), pp. 537–545. doi:10.1007/s00269-014-0665-1.
- M.S. Paterson, A high pressure, high temperature apparatus for rock deformation, Int. J. Rock Mech. Min. 7 (1970), pp. 512–517. doi:10.1016/0148-9062(70)90004-5.
- M.S. Paterson, Rock deformation experimentation, in The Brittle-Ductile Transition in Rocks: The Head Volume, A.G. Duba, W.B. Durham, J.W. Handin, and H.F. Wang, eds., Geophysical Monograph Series, AGU, Washington, 1990, pp. 187–194.
- D.J.H. Cokayne, I.L.F. Ray, and M.J. Whelan, Investigations of dislocation strain fields using weak beams, Philos. Mag. 20 (1969), pp. 1265–1270. doi:10.1080/14786436908228210.
- J.S. Barnard, J. Sharp, J.R. Tong, and P.A. Midgley, High-resolution three-dimensional imaging of dislocations, Science 313 (2006), p. 319. doi:10.1126/science.1125783.
- S. Hata, H. Miyazaki, S. Miyazaki, M. Mitsuhara, M. Tanaka, K. Kaneko, K. Higashida, K. Ikeda, H. Nakashima, S. Matsumara, J.S. Barnard, J.H. Sharp, and P.A. Midgley, High-angle triple-axis specimen holder for three-dimensional diffraction contrast imaging in transmission electron microscopy, Ultramicroscopy 111 (2011), pp. 1168–1175. doi:10.1016/j.ultramic.2011.03.021.
- P.J. Phillips, M.C. Brandes, M.J. Mills, and M. De Graef, Diffraction contrast STEM of dislocations: Imaging and simulations, Ultramicroscopy 111 (2011), pp. 1483–1487. doi:10.1016/j.ultramic.2011.07.001.
- G.S. Liu, S.D. House, J. Kacher, M. Tanaka, K. Higashida, and I.M. Robertson, Electron tomography of dislocation structures, Mater. Charact. 87 (2014), pp. 1–11. doi:10.1016/j.matchar.2013.09.016.
- E. Oveisi, A. Letouzey, D.T.L. Alexander, Q. Jeangros, R. Schäublin, G. Lucas, P. Fua, and C. Hébert. Tilt-less 3-D electron imaging and reconstruction of complex curvilinear structures. Sci. Rep. 7 (2017), p. 10630. doi:10.1038/s41598-017-07537-6.
- M. Tanaka, K. Higashida, K. Kaneko, S. Hata, and M. Mitsuhara, Crack tip dislocations revealed by electron tomography in silicon single crystal, Scripta Mater. 59 (2008a), pp. 901–904. doi:10.1016/j.scriptamat.2008.06.042.
- R. Vincent, and P.A. Midgley, Double conical beam-rocking system for measurement of integrated electron diffraction intensities, Ultramicroscopy 53 (1994), pp. 271–282. doi:10.1016/0304-3991(94)90039-6.
- J.M. Rebled, L. Yedra, S. Estrade, J. Portillo, and F. Peiro, A new approach for 3D reconstruction from bright field TEM imaging: Beam precession Assisted electron tomography, Ultramicroscopy 111 (2011), pp. 1504–1511. doi:10.1016/j.ultramic.2011.06.002.
- A. Mussi, P. Cordier, S. Demouchy, and B. Hue, Hardening mechanisms in olivine single crystal deformed at 1090°C: An electron tomography study, Philos. Mag. 97 (2017), pp. 3172–3185. doi:10.1080/14786435.2017.1367858.
- G.T. Herman, A.V. Lakshminarayanan, and A. Naparstek, Convolution reconstruction techniques for divergent beams. Comput. Biol. Med. 6 (1976), pp. 259–271. doi:10.1016/0010-4825(76)90065-2.
- C. Messaoudi, T. Boudier, C.O. Sanchez Sorzano, and S. Marco, Tomoj: Tomography software for three-dimensional reconstruction in transmission electron microscopy, BMC Bioinform. 8 (2007), p. 288. doi:10.1186/1471-2105-8-288.
- A. Mussi, P. Cordier, S. Ghosh, N. Garvik, B.C. Nzogang, P. Carrez, and S. Garruchet, Transmission electron microscopy of dislocations in cementite deformed at high pressure and high temperature, Philos. Mag. 96 (2016), pp. 1773–1789. doi:10.1080/14786435.2016.1177670.
- E.F. Pettersen, T.D. Goddard, C.C. Huang, G.S. Couch, D.M. Greenblatt, E.C. Meng, and T.E. Ferrin, UCSF chimera: A visualization system for exploratory research and analysis, J. Comput. Chem. 25 (2004), pp. 1605–1612. doi:10.1002/jcc.20084.
- R.M. Hazen, Effects of temperature and pressure on the crystal structure of forsterite, Am. Mineral. 61 (1976), pp. 1280–1293.
- J.P. Hirth, and J. Lothe, Theory of Dislocations, 2nd ed., Krieger Pub., Florida, Malabar, FL, 1992.
- J. Durinck, P. Carrez, and P. Cordier, Application of the Peierls-Nabarro model to dislocations in forsterite, Eur. J. Mineral. 19 (2007), pp. 631–639. doi:10.1127/0935-1221/2007/0019-1757.
- R.E. Peierls, The size of a dislocation, Proc. Phys. Soc. 52 (1940), pp. 34–37. doi: 10.1088/0959-5309/52/1/305
- F.R.N. Nabarro, Dislocations in a simple cubic lattice, Proc. Phys. Soc. 59 (1947), pp. 256–272. doi: 10.1088/0959-5309/59/2/309
- C.L. Johnson, M.J. Hitch, and P.R. Buseck, Displacement and strain fields around a [100] dislocation in olivine measured to sub-angstrom accuracy, Am. Mineral. 89 (2004), pp. 1374–1379. doi:10.2138/am-2004-1004.
- Z. Wang, M. Saito, K.P. McKenna, and Y. Ikuhara, Polymorphism of dislocation core structures at the atomic scale, Nat. Commun. 5 (2014), p. 3239. doi:10.1038/ncomms4239.
- J. Douin, P. Veyssière, and P. Beauchamp, Dislocation line stability in Ni3Al, Philos. Mag. A 54 (1986), pp. 375–393. doi:10.1080/01418618608240722.
- A.N. Stroh, Dislocations and cracks in anisotropic elasticity, Philos. Mag. (1958), pp. 625–646. doi:10.1080/14786435808565804.
- H. Idrissi, C. Bollinger, F. Boioli, D. Schryvers, and P. Cordier, Low-temperature plasticity of olivine revisited with in situ TEM nanomechanical testing. Sci. Adv. 2 (2016), p. e1501671. doi:10.1126/sciadv.1501671.
- F. Boioli, P. Carrez, P. Cordier, A.M. Goryaeva, K. Gouriet, P. Hirel, A. Kraych, S. Mahendran, A. Mussi, B. Nzogang, R. Reali, S. Ritterbex, and X.Y. Sun, Multiscale Modeling of the Mantle Rheology: The RheoMan Project, Cordier & Goryaeva, France, 2018.
- A. Tommasi, D. Mainprice, G. Canova, and Y. Chastel, Viscoplastic self-consistent and equilibrium-based modeling of olivine lattice preferred orientations: Implications for the upper mantle seismic anisotropy, J. Geophys. Res. 105 (2000), pp. 7893–7904. doi:10.1029/1999JB900411.
- D. Mainprice, A. Tommasi, H. Couvy, P. Cordier, and D.J. Frost, Pressure sensitivity of olivine slip systems and seismic anisotropy of Earth’s upper mantle, Nature 433 (2005), pp. 731–733. doi:10.1038/nature03266.
- A. Molinari, G.R. Canova, and S. Ahzi, A self consistent approach of the large deformation polycrystal viscoplasticity, Acta. Metall. 35 (1987), pp. 2983–2994. doi:10.1016/0001-6160(87)90297-5.