Citations (24)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (3)
Markus Lazar. (2013) On the non-uniform motion of dislocations: the retarded elastic fields, the retarded dislocation tensor potentials and the Liénard–Wiechert tensor potentials. Philosophical Magazine 93:7, pages 749-776.
Read now
Read now
Markus Lazar. (2011) On the elastic fields produced by non-uniformly moving dislocations: a revisit. Philosophical Magazine 91:25, pages 3327-3342.
Read now
Read now
M. Lazar & C. Anastassiadis. (2009) The gauge theory of dislocations: Static solutions of screw and edge dislocations. Philosophical Magazine 89:3, pages 199-231.
Read now
Read now
Articles from other publishers (21)
Shichao Luo & Yinan Cui. (2023) Self-force of high-speed dislocation in anisotropic media based on configurational mechanics. International Journal of Solids and Structures 281, pages 112439.
Crossref
Crossref
Thomas Hudson & Filip Rindler. (2022) Elasto-plastic evolution of single crystals driven by dislocation flow. Mathematical Models and Methods in Applied Sciences 32:05, pages 851-910.
Crossref
Crossref
Yinan Cui, Tao Wang, Shichao Luo, Zhangtao Li & Zhijie Li. (2022) A discrete–continuous model of three-dimensional dislocation elastodynamics. International Journal of Plasticity 152, pages 103221.
Crossref
Crossref
François Ebobisse & Patrizio Neff. (2019) A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. Mathematics and Mechanics of Solids 25:2, pages 129-159.
Crossref
Crossref
François Ebobisse, Klaus Hackl & Patrizio Neff. (2019) A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector. Continuum Mechanics and Thermodynamics 31:5, pages 1477-1502.
Crossref
Crossref
Lalaonirina R. RakotomananaLalaonirina R. Rakotomanana. 2018. Covariance and Gauge Invariance in Continuum Physics. Covariance and Gauge Invariance in Continuum Physics
95
175
.
Lalaonirina R. RakotomananaLalaonirina R. Rakotomanana. 2018. Covariance and Gauge Invariance in Continuum Physics. Covariance and Gauge Invariance in Continuum Physics
9
71
.
Lalaonirina R. RakotomananaLalaonirina R. Rakotomanana. 2018. Covariance and Gauge Invariance in Continuum Physics. Covariance and Gauge Invariance in Continuum Physics
1
8
.
Riccardo Scala & Nicolas Van Goethem. (2016) Constraint reaction and the Peach–Koehler force
for dislocation networks. Mathematics and Mechanics of Complex Systems 4:2, pages 105-138.
Crossref
Crossref
Markus Lazar & Yves-Patrick Pellegrini. (2016) Distributional and regularized radiation fields of non-uniformly moving straight dislocations, and elastodynamic Tamm problem. Journal of the Mechanics and Physics of Solids 96, pages 632-659.
Crossref
Crossref
Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Luca Placidi & Giuseppe Rosi. (2013) A unifying perspective: the relaxed linear micromorphic continuum. Continuum Mechanics and Thermodynamics 26:5, pages 639-681.
Crossref
Crossref
Markus Lazar. (2013) Dislocation field theory in 2D: Application to graphene. Physics Letters A 377:5, pages 423-429.
Crossref
Crossref
V. Kobelev. (2011) On the Lagrangian and instability of medium with defects. Meccanica 47:3, pages 745-753.
Crossref
Crossref
M. Lazar. (2010) On the Fundamentals of the Three-dimensional Translation Gauge Theory of Dislocations. Mathematics and Mechanics of Solids 16:3, pages 253-264.
Crossref
Crossref
Eleni Agiasofitou, Markus Lazar & Helmut Kirchner. (2010) Generalized dynamics of moving dislocations in quasicrystals. Journal of Physics: Condensed Matter 22:49, pages 495401.
Crossref
Crossref
Markus Lazar & Friedrich W. Hehl. (2010) Cartan’s Spiral Staircase in Physics and, in Particular, in the Gauge Theory of Dislocations. Foundations of Physics 40:9-10, pages 1298-1325.
Crossref
Crossref
Markus Lazar. (2010) The gauge theory of dislocations: A nonuniformly moving screw dislocation. Physics Letters A 374:30, pages 3092-3098.
Crossref
Crossref
Eleni Agiasofitou & Markus Lazar. (2010) On the Nonlinear Continuum Theory of Dislocations: A Gauge Field Theoretical Approach. Journal of Elasticity 99:2, pages 163-178.
Crossref
Crossref
Markus Lazar. (2009) The gauge theory of dislocations: a uniformly moving screw dislocation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465:2108, pages 2505-2520.
Crossref
Crossref
Markus Lazar. (2009) On the Higgs mechanism and stress functions in the translational gauge theory of dislocations. Physics Letters A 373:17, pages 1578-1582.
Crossref
Crossref
Markus Lazar & Charalampos Anastassiadis. 2009. IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics. IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics
215
227
.