Singularity-free dislocation dynamics with strain gradient elasticity
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Giacomo Po | Nasr M. Ghoniem | Markus Lazar | M. Lazar | G. Po | N. Ghoniem | Dariush Seif | Dariush Seif
[1] Marc Fivel,et al. Formation and strength of dislocation junctions in FCC metals : A study by dislocation dynamics and atomistic simulations , 2001 .
[2] van der Erik Giessen,et al. Aspects of boundary-value problem solutions with three-dimensional dislocation dynamics , 2002 .
[3] L. P. Kubin,et al. The Dynamic Organization of Dislocation Structures , 1989 .
[4] Vito Volterra,et al. Sur l'équilibre des corps élastiques multiplement connexes , 1907 .
[5] K. Schwarz,et al. INTERACTION OF DISLOCATIONS ON CROSSED GLIDE PLANES IN A STRAINED EPITAXIAL LAYER , 1997 .
[6] Nasr M. Ghoniem,et al. Parametric dislocation dynamics: A thermodynamics-based approach to investigations of mesoscopic plastic deformation , 2000 .
[7] J. Lothe,et al. Dislocations in Continuous Elastic Media , 1992 .
[8] M. Lazar,et al. The solid angle and the Burgers formula in the theory of gradient elasticity: Line integral representation , 2013, 1312.2916.
[9] E. Aifantis. Non-singular dislocation fields , 2009 .
[10] M. Lazar,et al. Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity , 2005, cond-mat/0502023.
[11] M. Peach,et al. THE FORCES EXERTED ON DISLOCATIONS AND THE STRESS FIELDS PRODUCED BY THEM , 1950 .
[12] A. Eringen. Edge dislocation in nonlocal elasticity , 1977 .
[13] M. Lazar. On gradient field theories: gradient magnetostatics and gradient elasticity , 2014, 1406.7781.
[14] L. M. Brown. The self-stress of dislocations and the shape of extended nodes , 1964 .
[15] A. Cottrell. Commentary. A brief view of work hardening , 2002 .
[16] E. Kröner,et al. On the physical reality of torque stresses in continuum mechanics , 1963 .
[17] A. Eringen. On continuous distributions of dislocations in nonlocal elasticity , 1984 .
[18] Hussein M. Zbib,et al. On plastic deformation and the dynamics of 3D dislocations , 1998 .
[19] Wei Cai,et al. Scalable Line Dynamics in ParaDiS , 2004, Proceedings of the ACM/IEEE SC2004 Conference.
[20] J. Lépinoux,et al. The dynamic organization of dislocation structures: A simulation , 1987 .
[21] Cristian Teodosiu,et al. Elastic Models of Crystal Defects , 1982 .
[22] R Madec,et al. From dislocation junctions to forest hardening. , 2002, Physical review letters.
[23] M. Lazar,et al. Dislocations in gradient elasticity revisited , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[24] R. Wiť. The Continuum Theory of Stationary Dislocations , 1960 .
[25] J. D. Eshelby. Aspects of the Theory of Dislocations , 1982 .
[26] On dislocations in a special class of generalized elasticity , 2005, cond-mat/0504291.
[27] Phillips,et al. Mesoscopic analysis of structure and strength of dislocation junctions in fcc metals , 2000, Physical review letters.
[28] E. Aifantis,et al. Dislocations in the theory of gradient elasticity , 1999 .
[29] M. Lazar. The fundamentals of non-singular dislocations in the theory of gradient elasticity: Dislocation loops and straight dislocations , 2012, 1209.1997.
[30] A. Eringen. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves , 1983 .
[31] R. D. Mindlin. Elasticity, piezoelectricity and crystal lattice dynamics , 1972 .
[32] R. Peierls. The size of a dislocation , 1940 .
[33] R. D. Mindlin. Micro-structure in linear elasticity , 1964 .
[34] Toshio Mura,et al. Micromechanics of defects in solids , 1982 .
[35] M. Fivel,et al. A study of dislocation junctions in FCC metals by an orientation dependent line tension model , 2002 .
[36] Ladislas P. Kubin,et al. Dislocation Microstructures and Plastic Flow: A 3D Simulation , 1992 .
[37] M. Lazar,et al. The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity , 2007 .
[38] Seunghwa Ryu,et al. Energy barrier for homogeneous dislocation nucleation: Comparing atomistic and continuum models , 2011 .
[39] Steve Plimpton,et al. Fast parallel algorithms for short-range molecular dynamics , 1993 .
[40] A. Eringen,et al. Nonlocal Continuum Field Theories , 2002 .
[41] Christopher R. Weinberger,et al. A non-singular continuum theory of dislocations , 2006 .
[42] L. Freund,et al. On the Nucleation of Dislocations at a Crystal Surface , 1993 .
[43] David M. Barnett,et al. The self-force on a planar dislocation loop in an anisotropic linear-elastic medium , 1976 .
[44] Jens Lothe John Price Hirth,et al. Theory of Dislocations , 1968 .
[45] P. S. Lomdahl,et al. Dislocation distributions in two dimensions , 1989 .
[46] S. Minagawa. Stress and Couple-Stress Fields Produced by Circular Dislocations in an Isotropic Elastic Micropolar Continuum , 1979 .
[47] F. Nabarro. Dislocations in a simple cubic lattice , 1947 .
[48] Elias C. Aifantis,et al. Edge dislocation in gradient elasticity , 1997 .
[49] Frank Reginald Nunes Nabarro,et al. Theory of crystal dislocations , 1967 .
[50] W. Nowacki,et al. Theory of asymmetric elasticity , 1986 .
[51] R. Lardner. Dislocations in Materials with Couple Stress , 1971 .
[52] M. Marinica,et al. Assessment of interatomic potentials for atomistic analysis of static and dynamic properties of screw dislocations in W. , 2012, Journal of physics. Condensed matter : an Institute of Physics journal.
[53] R. D. Mindlin,et al. On first strain-gradient theories in linear elasticity , 1968 .
[54] G. Schoeck. Atomic dislocation core parameters , 2010 .
[55] James S. Stolken,et al. Rules for Forest Interactions between Dislocations , 1999 .
[56] D. Gazis,et al. SURFACE EFFECTS AND INITIAL STRESS IN CONTINUUM AND LATTICE MODELS OF ELASTIC CRYSTALS , 1963 .
[57] A. Eringen. Screw dislocation in non-local elasticity , 1977 .
[58] Giacomo Po,et al. A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion , 2014 .
[59] Nasr M. Ghoniem,et al. Computer Simulaltion of Dislocation Pattern Formation , 1991 .
[60] G. Wentzel. COMMENTS ON DIRAC'S THEORY OF MAGNETIC MONOPOLES. , 1966 .
[61] M. Lazar. Non-singular dislocation loops in gradient elasticity , 2012, 1204.0945.