Dynamic Discrete Dislocation Plasticity

Abramowitz, 1954, On the practical evaluation of integrals, Journal of the Society for Industrial and Applied Mathematics, 2, 20, 10.1137/0102003 Agnihotri, P., & Van der Giessen, E. (n.d.). Rate sensitivity according to discrete dislocation plasticity. (in press) Amodeo, 1990, Dislocation dynamics. I. A proposed methodology for deformation micromechanics, Physical Review B, 41, 6958, 10.1103/PhysRevB.41.6958 Amodeo, 1990, Dislocation dynamics. II. Applications to the formation of persistent slip bands, planar arrays, and dislocation cells, Physical Review B, 41, 6968, 10.1103/PhysRevB.41.6968 Argon, 2008 Armstrong, 2008, High strain rate properties of metals and alloys, International Material Reviews, 53, 105, 10.1179/174328008X277795 Ashcroft, 1976 Aubry, 2011, Energy barrier for homogeneous dislocation nucleation: Comparing atomistic and continuum models, Scripta Materialia, 64, 1043, 10.1016/j.scriptamat.2011.02.023 Ayas, 2014, Climb-enabled discrete dislocation plasticity, Journal of the Mechanics and Physics of Solids, 62, 113, 10.1016/j.jmps.2013.09.019 Bacon, 1967, A method for describing a flexible dislocation, Physica Status Solidi (B), 23, 527, 10.1002/pssb.19670230212 Balint, 2006, Size effects in uniaxial deformation of single and polycrystals: A discrete plasticity analysis, Modelling and Simulation in Materials Science and Engineering, 14, 409, 10.1088/0965-0393/14/3/005 Balluffi, 2005 Beltz, 1968, Some unifying relations for moving dislocations, Physica Status Solidi (B), 26, 621, 10.1002/pssb.19680260227 Benzerga, 2008, An analysis of exhaustion hardening in micron-scale plasticity, International Journal of Plasticity, 24, 1128, 10.1016/j.ijplas.2007.08.010 Benzerga, 2004, Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics, Modelling and Simulation in Materials Science and Engineering, 12, 159, 10.1088/0965-0393/12/1/014 Bitzek, 2004, Atomistic study of drag, surface and inertial effects on edge dislocations in face-centered cubic metals, Materials Science and Engineering A, 387–389, 11, 10.1016/j.msea.2004.01.092 Bitzek, 2005, Dynamic aspects of dislocation motion: Atomistic simulations, Materials Science and Engineering A, 400–401, 40, 10.1016/j.msea.2005.03.047 Boslough, 1993, Basic principles of shock compression, 7 Brailsford, 1969, Electronic component of dislocation drag in metals, Physical Review, 186, 959, 10.1103/PhysRev.186.959 Brailsford, 1972, Anharmonicity contributions to dislocation drag, Journal of Applied Physics, 43, 1380, 10.1063/1.1661329 Brock, 1982, Dynamic solutions for the non-uniform motion of an edge dislocation, International Journal of Engineering Science, 20, 113, 10.1016/0020-7225(82)90077-5 Bulatov, 1998, Connectic atomistic and mesoscale simulations of crystal plasticity, Nature, 391, 669, 10.1038/35577 Bulatov, 2006 Cagniard, 1939 Callen, 1985 Chang, 2002, Molecular dynamics simulations of motion of edge and screw dislocations in a metal, Computational Materials Science, 23, 111, 10.1016/S0927-0256(01)00221-X Cleveringa, 1997, Computational issues in the simulation of two-dimensional discrete dislocation mechanics, Acta Materialia, 45, 3163, 10.1016/S1359-6454(97)00011-6 Cleveringa, 2000, A discrete dislocation analysis of mode I crack growth, Journal of the Mechanics and Physics of Solids, 48, 1133, 10.1016/S0022-5096(99)00076-9 Coffey, 1986, Velocity of moving edge dislocations in a crystalline solid, Physical Review B, 34, 5674, 10.1103/PhysRevB.34.5674 Coffey, 1994, Quantum-mechanical aspects of dislocation motion and plastic flow, Physical Review B, 49, 208, 10.1103/PhysRevB.49.208 Davis, 1984 Davis, 1966, Nucleation rate of vacancy clusters in crystals, Journal of Applied Physics, 37, 2112, 10.1063/1.1708745 Deshpande, 2002, Discrete dislocation modeling of fatigue crack propagation, Acta Materialia, 50, 831, 10.1016/S1359-6454(01)00377-9 Deshpande, 2003, Discrete dislocation plasticity modeling of short cracks in single crystals, Acta Materialia, 51, 1, 10.1016/S1359-6454(02)00401-9 Deshpande, 2005, Plasticity size effects in tension and compression of single crystals, Journal of the Mechanics and Physics of Solids, 53, 2661, 10.1016/j.jmps.2005.07.005 Ding, 2011, Modeling of the dynamic inelasticity of tantalum single crystal under ramp wave loading, Journal of Applied Physics, 109, 10.1063/1.3561376 Ding, 2010, Modeling of the elastic precursor behavior and dynamic inelasticity of tantalum under ramp wave loading to 17GPa, Journal of Applied Physics, 107, 10.1063/1.3373388 Eringen, 1975 Eshelby, 1949, Dislocations as a cause of mechanical damping in metals, Proceedings of the Royal Society A, 197, 396 Eshelby, 1949, Uniformly moving dislocations, Proceedings of the Royal Society A, 62, 307 Eshelby, 1953, The equation of motion of a dislocation, Physical Review, 90, 248, 10.1103/PhysRev.90.248 Fan, 2012, Onset mechanism of strain-rate-induced flow stress upturn, Physical Review Letters, 109, 135503, 10.1103/PhysRevLett.109.135503 Follansbee, 1984, The transition to drag controlled deformation in copper at high strain rates, Vol. 3, 71 Foreman, 1967, The bowing of a dislocation segment, Philosophical Magazine, 15, 1011, 10.1080/14786436708221645 Frank, 1949, On the equations of motion of crystal dislocations, Proceedings of the Physical Society. Section A, 62, 131, 10.1088/0370-1298/62/2/307 Frank, 1950, Multiplication processes for slow moving dislocations, Physical Review, 79, 722, 10.1103/PhysRev.79.722 Ghoniem, 1999, A fast sum method for the elastic field of 3-D dislocation ensembles, Physical Review B, 60, 128, 10.1103/PhysRevB.60.128 Gillis, 1970, Dislocation acceleration, Philosophical Magazine, 21, 425, 10.1080/14786437008238427 Gilman, 1969 Gilman, 2003 Granato, 1973, Metallurgical effects at high strain rates Griewank, 2008 Gulluoglu, 1992, Simulation of dislocation microstructures in two dimensions. I. Relaxed structures, Modelling and Simulation in Materials Science and Engineering, 1, 1, 10.1088/0965-0393/1/1/001 Gulluoglu, 1993, Simulation of dislocation microstructures in two dimensions. II. Dynamic and relaxed structures, Modelling and Simulation in Materials Science and Engineering, 1, 383, 10.1088/0965-0393/1/4/004 Gulluoglu, 1989, Dislocation distributions in two dimensions, Scripta Metallurgica, 23, 1347, 10.1016/0036-9748(89)90057-4 Gumbsch, 1999, Dislocations faster than the speed of sound, Science, 283, 965, 10.1126/science.283.5404.965 Gumbsch, 1999, Driving force and nucleation of supersonic dislocation, Journal of Computer-Aided Materials Design, 6, 137, 10.1023/A:1008789505150 Gurrutxaga-Lerma, 2013, A dynamic discrete dislocation plasticity method for the simulation of plastic relaxation under shock loading, Proceedings of the Royal Society A, 469, 20130141, 10.1098/rspa.2013.0141 Gutkin, 2006, Special mechanism for dislocation nucleation in nanomaterials, Applied Physics Letters, 88, 211901, 10.1063/1.2206095 Gutkin, 2008, Homogeneous nucleation of dislocation loops in nanocrystalline metals and ceramics, Acta Materialia, 56, 1642, 10.1016/j.actamat.2007.12.004 Hirth, 1996, Dislocations, Vol. 3, 1832 Hirth, 1991 Hirth, 1998, Forces on high velocity dislocations, Modelling and Simulation in Materials Science and Engineering, 6, 165, 10.1088/0965-0393/6/2/006 de Hoop, 1960, A modification of Cagniard's method for solving seismic pulse problems, Applied Scientific Research, Section B, 8, 349, 10.1007/BF02920068 Hornbogen, 1962, Shock-induced dislocations, Acta Metallurgica, 10, 978, 10.1016/0001-6160(62)90153-0 Huffman, 1967, Dislocation drag in metals, Physical Review Letters, 19, 518, 10.1103/PhysRevLett.19.518 Hull, 2011 Ito, 2001, Atomistic study of non-Schmid effects in the plastic yielding of bcc metals, Philosophical Magazine A, 45, 1387, 10.1080/01418610108214447 Jin, 2008, Energy radiation and limiting speeds of fast moving edge dislocations in tungsten, Physical Review B, 77, 094303, 10.1103/PhysRevB.77.094303 Johnston, 1959, Dislocation velocities, dislocation densities, and plastic flow in lithium fluoride crystals, Journal of Applied Physics, 30, 129, 10.1063/1.1735121 Jokl, 1989, On the micromechanics of brittle fracture: Existing vs injected cracks, Acta Metallurgica, 37, 87, 10.1016/0001-6160(89)90269-1 Kocks, 1975, Thermodynamics and kinetics of slip, Progress in Materials Science, 19, 1 Koizumi, 2002, Lattice wave emission from a moving dislocation, Physical Review B, 65, 214104, 10.1103/PhysRevB.65.214104 Kubin, 2013 Kubin, 1992, The modelling of dislocation patterns, Scripta Metallurgica, 27, 957, 10.1016/0956-716X(92)90456-O Landau, 1986 Lazar, 2013, The fundamentals of non-singular dislocations in the theory of gradient elasticity: Dislocation loops and straight dislocations, International Journal of Solids and Structures, 50, 352, 10.1016/j.ijsolstr.2012.09.017 Leibfried, 1950, Über den Einfluß thermisch angeregter Schallwellen auf die plastische Deformation, Zeitschrift für Physik, 127, 344, 10.1007/BF01329831 Lépinoux, 1987, The dynamic organization of dislocation structures: A simulation, Scripta Metallurgica, 21, 833, 10.1016/0036-9748(87)90332-2 Li, 2002, Dislocation jumping over the sound barrier in tungsten, Applied Physics Letters, 80, 3069, 10.1063/1.1473865 Lothe, 1961, Lorentz force on screw dislocations and related problems, Physical Review, 122, 78, 10.1103/PhysRev.122.78 Lubarda, 1993, An analysis of equilibrium dislocation distributions, Acta Metallurgica et Materialia, 41, 625, 10.1016/0956-7151(93)90092-7 Lund, 1998, On the nature of a Lorentzian force on a moving dislocation, Philosophical Magazine, 78, 177, 10.1080/13642819808202940 Marian, 2006, Moving dislocations in disordered alloys: Connecting continuum and discrete models with atomistic simulations, Physical Review B, 64, 024113, 10.1103/PhysRevB.74.024113 Markenscoff, 1980, The transient motion of a nonuniformly moving dislocation, Journal of Elasticity, 10, 193, 10.1007/BF00044503 Markenscoff, 1982, Accelerating dislocations: Wave-front behavior, International Journal of Engineering Science, 20, 289, 10.1016/0020-7225(82)90024-6 Markenscoff, 1981, The nonuniformly moving edge dislocation, Journal of the Mechanics and Physics of Solids, 29, 253, 10.1016/0022-5096(81)90029-6 Markenscoff, 2008, Analysis for a screw dislocation accelerating through the shear-wave speed barrier, Journal of the Mechanics and Physics of Solids, 56, 2225, 10.1016/j.jmps.2008.01.005 Markenscoff, 2009, The energetics of dislocations accelerating and decelerating through the shear-wave speed barrier, Applied Physics Letters, 94, 021906, 10.1063/1.3072351 Meyers, 1994 Meyers, 2003, Laser-induced shock compression of monocrystalline copper: Characterization and analysis, Acta Materialia, 51, 1211, 10.1016/S1359-6454(02)00420-2 Meyers, 2009, Dislocations in shock compression and release, Vol. 15, 94 Moriarty, 2002, Atomistic simulations of dislocations and defects, Journal of Computer-Aided Materials Design, 9, 99, 10.1023/A:1026022602578 Mura, 1963, Continuous distribution of moving dislocations, Philosophical Magazine, 8, 843, 10.1080/14786436308213841 Mura, 1982 Nabarro, 1967 Nabarro, 1997, Fifty-year study of the Peierls–Nabarro stress, Materials Science and Engineering A, 234–236, 67, 10.1016/S0921-5093(97)00184-6 Ni, 2008, The self-force and effective mass of a generally accelerating dislocation I: Screw dislocation, Journal of the Mechanics and Physics of Solids, 56, 1348, 10.1016/j.jmps.2007.09.002 Nicola, 2003, Discrete dislocation analysis of size effects in thin films, Journal of Applied Physics, 93, 5920, 10.1063/1.1566471 Nix, 1971, Physics of strengthening mechanics in crystalline solids, Annual Review of Materials Research, 1, 313 Nosenko, 2007, Supersonic dislocations observed in a plasma crystal, Physical Review Letters, 99, 025002, 10.1103/PhysRevLett.99.025002 O'Day, 2005, Bimaterial interface fracture: A discrete dislocation model, Journal of the Mechanics and Physics of Solids, 53, 359, 10.1016/j.jmps.2004.06.012 Olmsted, 2005, Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys, Modelling and Simulation in Materials Science and Engineering, 13, 371, 10.1088/0965-0393/13/3/007 Partom, 1984, More on the precursor decay anomaly, 137 Peach, 1950, The forces exerted on dislocations and the stress fields produced by them, Physical Review, 80, 436, 10.1103/PhysRev.80.436 Pellegrini, 2010, Dynamic Peierls–Nabarro equations for elastically isotropic crystals, Physical Review B, 81, 024101, 10.1103/PhysRevB.81.024101 Pillon, 2006, Influence of inertia on the formation of dislocation dipoles, Journal de Physique IV, 134, 49 Po, 2014, Singularity-free dislocation dynamics with strain gradient elasticity, Journal of the Mechanics and Physics of Solids, 68, 161, 10.1016/j.jmps.2014.03.005 Reed-Hill, 1994 Regazzoni, 1987, Dislocation kinetics at high strain rates, Acta Metallurgica, 35, 2865, 10.1016/0001-6160(87)90285-9 Rice, 1987, Tensile crack tip fields in elastic-ideally plastic crystals, Mechanics of Materials, 6, 317, 10.1016/0167-6636(87)90030-5 Romero, 2008, Dislocation dynamics in non-convex domains using finite elements with embedded discontinuities, Modelling and Simulation in Materials Science and Engineering, 16, 035008, 10.1088/0965-0393/16/3/035008 Roos, 2001, High-speed dislocations in high strain-rate deformations, Computational Materials Science, 20, 19, 10.1016/S0927-0256(00)00118-X Roos, 2001, A two-dimensional computational methodology for high-speed dislocations in high strain-rate deformation, Computational Materials Science, 20, 1, 10.1016/S0927-0256(00)00117-8 Schiotz, 1995, Kinematic generation of dislocations, Philosophical Magazine Letters, 72, 245, 10.1080/09500839508242458 Schwarz, 1999, Simulation of dislocations on the mesoscopic scale. 1. Methods and examples, Journal of Applied Physics, 85, 108, 10.1063/1.369429 Shehadeh, 2012, Multiscale dislocation dynamics simulations of shock-induced plasticity in small volumes, Philosophical Magazine, 92, 1173, 10.1080/14786435.2011.637988 Shehadeh, 2006, Simulation of shock-induced plasticity including homogeneous and heterogenous dislocation nucleations, Applied Physics Letters, 89, 171818, 10.1063/1.2364853 Shehadeh, 2005, Multiscale dislocation dynamics simulations of shock compression in copper single crystal, International Journal of Plasticity, 21, 2369, 10.1016/j.ijplas.2004.12.004 Shishvan, 2010, Distribution of dislocation source length and the size dependent yield strength in freestanding thin films, Journal of the Mechanics and Physics of Solids, 58, 678, 10.1016/j.jmps.2010.02.011 Stroh, 1962, Force on a moving dislocation, Physical Review, 12, 55, 10.1103/PhysRev.128.55 Swegle, 1985, Shock viscosity and the prediction of shock wave rise times, Journal of Applied Physics, 58, 692, 10.1063/1.336184 Taylor, 1986 Taylor, 1965, Dislocation dynamics and dynamic yielding, Journal of Applied Physics, 36, 3146, 10.1063/1.1702940 Taylor, 1969, Hypervelocity impact phenomena Tschopp, 2007, Tension-compression asymmetry in homogeneous dislocation nucleation in single crystal copper, Applied Physics Letters, 90, 121916, 10.1063/1.2715137 Tschopp, 2008, Influence of single crystal orientation on homogeneous dislocation nucleation under uniaxial loading, Journal of the Mechanics and Physics of Solids, 56, 1806, 10.1016/j.jmps.2007.11.012 Tsuzuki, 2008, Accelerating dislocations to transonic and supersonic speeds in anisotropic metals, Applied Physics Letters, 92, 191909, 10.1063/1.2921786 Tsuzuki, 2009, Molecular dynamics simulation of fast dislocations in copper, Acta Materialia, 57, 1843, 10.1016/j.actamat.2008.12.025 Van der Giessen, 2001, Discrete dislocation plasticity and crack tip fields in single crystals, Journal of the Mechanics and Physics of Solids, 49, 2133, 10.1016/S0022-5096(01)00040-0 Van der Giessen, 1995, Discrete dislocation plasticity: A simple planar model, Modelling and Simulation in Materials Science and Engineering, 3, 689, 10.1088/0965-0393/3/5/008 Vitek, 1992, Structure of dislocation cores in metallic materials and its impact on their plastic behaviour, Progress in Materials Science, 36, 1, 10.1016/0079-6425(92)90003-P Wang, 2010, Experimental investigation of precursor decay in shock-compressed mild steel by the VISAR interferometry technique, Strain, 46, 298, 10.1111/j.1475-1305.2008.00473.x Wang, 2001, Nanoscale phase field microelasticity theory of dislocations: Model and 3D simulations, Acta Materialia, 49, 1847, 10.1016/S1359-6454(01)00075-1 Weertman, 1961, High velocity dislocations, 205 Weertman, 1967, Uniformly moving transonic and supersonic dislocations, Journal of Applied Physics, 38, 5293, 10.1063/1.1709317 Weertman, 1981, Moving dislocations in a shock front, 469 Weinee, 1975, Breakdown in high-speed edge dislocation motion, Philosophical Magazine, 31, 679, 10.1080/14786437508226546 Weygand, 2002, Aspects of boundary-value problem solutions with three-dimensional dislocation dynamics, Modelling and Simulation in Materials Science and Engineering, 10, 437, 10.1088/0965-0393/10/4/306 Whelan, 1975, Observations of defects in metals by electron microscopy, Vol. 2, 98 Zaretsky, 1995, Dislocation multiplication behind the shock front, Journal of Applied Physics, 78, 3740, 10.1063/1.359954 Zbib, 2002, A multiscale model of plasticity, International Journal of Plasticity, 18, 1133, 10.1016/S0749-6419(01)00044-4 Zener, 1940, Internal friction in solids, Proceedings of the Physical Society, 52, 152, 10.1088/0959-5309/52/1/322 Zhou, 2010, Discrete dislocation dynamics simulations of plasticity at small scales, Acta Materialia, 58, 1565, 10.1016/j.actamat.2009.11.001 Gurrutxaga-Lerma, B., Balint, D. S., Dini, D., Eakins, D. E., & Sutton, A. P. (inpreparation).