Advanced search
Publication Cover
Philosophical Magazine Volume 87, 2007 - Issue 8-9: Density-Based Modelling of Dislocations
Submit an article Journal homepage
257
Views
49
CrossRef citations to date
0
Altmetric
Original Articles

Dynamics of coarse grained dislocation densities from an effective free energy

I. Groma Department of General Physics, Eötvös University Budapest, P.O. Box 32, 1518 Budapest, HungaryCorrespondence[email protected]
,
G. Györgyi Institute of Theoretical Physics, HAS Research Group, Eötvös University Budapest, P.O. Box 32, 1518 Budapest, Hungary
&
B. Kocsis Department of General Physics, Eötvös University Budapest, P.O. Box 32, 1518 Budapest, Hungary
Pages 1185-1199 | Received 07 Mar 2006, Accepted 30 May 2006, Published online: 04 Dec 2010

Citations (49)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Andrea Panteghini & Lorenzo Bardella. (2020) Modelling the cyclic torsion of polycrystalline micron-sized copper wires by distortion gradient plasticity. Philosophical Magazine 100:18, pages 2352-2364.
Read now
I. Groma, G. Györgyi & P.D. Ispánovity. (2010) Variational approach in dislocation theory. Philosophical Magazine 90:27-28, pages 3679-3695.
Read now

Articles from other publishers (47)

Sing-Huei Lee & Katrin Schulz. (2023) A data-based derivation of the internal stress in the discrete-continuum transition regime of dislocation based plasticity. International Journal of Plasticity 170, pages 103771.
Crossref
V.L. Berdichevsky. (2023) On temperature scaling in dislocation plasticity. Journal of the Mechanics and Physics of Solids 170, pages 105102.
Crossref
Thomas Hochrainer, Benedikt Weger & Satyapriya Gupta. (2022) Making sense of dislocation correlations. Materials Theory 6:1.
Crossref
Joseph Pierre Anderson, Vignesh Vivekanandan, Peng Lin, Kyle Starkey, Yash Pachaury & Anter El-Azab. (2022) Situating the Vector Density Approach Among Contemporary Continuum Theories of Dislocation Dynamics. Journal of Engineering Materials and Technology 144:1.
Crossref
Andreas Prahs & Thomas Böhlke. (2022) The role of dissipation regarding the concept of purely mechanical theories in plasticity. Mechanics Research Communications 119, pages 103832.
Crossref
István Groma, Péter Dusán Ispánovity & Thomas Hochrainer. (2021) Dynamics of curved dislocation ensembles. Physical Review B 103:17.
Crossref
Lorenzo Bardella. (2021) On a mixed energetic–dissipative constitutive law for non-proportional loading, with focus on small-scale plasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477:2248.
Crossref
Hengxu Song, Nina Gunkelmann, Giacomo Po & Stefan Sandfeld. (2021) Data-mining of dislocation microstructures: concepts for coarse-graining of internal energies. Modelling and Simulation in Materials Science and Engineering 29:3, pages 035005.
Crossref
Thomas Hochrainer & Benedikt Weger. (2020) Is crystal plasticity non-conservative? Lessons from large deformation continuum dislocation theory. Journal of the Mechanics and Physics of Solids 141, pages 103957.
Crossref
Atefeh Alipour, Stefanie Reese, Bob Svendsen & Stephan Wulfinghoff. (2020) A grain boundary model considering the grain misorientation within a geometrically nonlinear gradient-extended crystal viscoplasticity theory. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476:2235, pages 20190581.
Crossref
George Z. Voyiadjis & Yooseob Song. 2020. Gradient-Enhanced Continuum Plasticity. Gradient-Enhanced Continuum Plasticity 363 374 .
Lorenzo Bardella. 2020. Encyclopedia of Continuum Mechanics. Encyclopedia of Continuum Mechanics 2330 2341 .
Lorenzo Bardella & Christian F. Niordson. 2020. Mechanics of Strain Gradient Materials. Mechanics of Strain Gradient Materials 101 149 .
George Z. Voyiadjis & Yooseob Song. (2019) Strain gradient continuum plasticity theories: Theoretical, numerical and experimental investigations. International Journal of Plasticity 121, pages 21-75.
Crossref
Andrea Panteghini, Lorenzo Bardella & Christian F. Niordson. (2019) A potential for higher-order phenomenological strain gradient plasticity to predict reliable response under non-proportional loading. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475:2229, pages 20190258.
Crossref
V.L. Berdichevsky. (2019) Beyond classical thermodynamics: Dislocation-mediated plasticity. Journal of the Mechanics and Physics of Solids 129, pages 83-118.
Crossref
Giacomo Po, Yue Huang & Nasr Ghoniem. (2019) A continuum dislocation-based model of wedge microindentation of single crystals. International Journal of Plasticity 114, pages 72-86.
Crossref
Ronghai Wu & Michael Zaiser. (2019) Cyclic-loading microstructure-property relations from a mesoscale perspective: An example of single crystal Nickel-based superalloys. Journal of Alloys and Compounds 770, pages 964-971.
Crossref
Samuel Forest, Kais Ammar, Benoit Appolaire, Victor de Rancourt & Stephan Wulfinghoff. 2019. Mesoscale Models. Mesoscale Models 299 344 .
István Groma. 2019. Mesoscale Models. Mesoscale Models 87 139 .
Samuel Forest, J. R. Mayeur & D. L. McDowell. 2019. Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Handbook of Nonlocal Continuum Mechanics for Materials and Structures 643 686 .
Ronghai Wu, Daniel Tüzes, Péter Dusán Ispánovity, István Groma, Thomas Hochrainer & Michael Zaiser. (2018) Instability of dislocation fluxes in a single slip: Deterministic and stochastic models of dislocation patterning. Physical Review B 98:5.
Crossref
Dabiao Liu, Xu Zhang, Yuan Li & D.J. Dunstan. (2018) Critical thickness phenomenon in single-crystalline wires under torsion. Acta Materialia 150, pages 213-223.
Crossref
Stefanos Papanikolaou, Yinan Cui & Nasr Ghoniem. (2018) Avalanches and plastic flow in crystal plasticity: an overview. Modelling and Simulation in Materials Science and Engineering 26:1, pages 013001.
Crossref
Lorenzo Bardella. 2017. Encyclopedia of Continuum Mechanics. Encyclopedia of Continuum Mechanics 1 13 .
S. Forest, J. R. Mayeur & D. L. McDowell. 2018. Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Handbook of Nonlocal Continuum Mechanics for Materials and Structures 1 44 .
Dabiao Liu & D.J. Dunstan. (2017) Material length scale of strain gradient plasticity: A physical interpretation. International Journal of Plasticity 98, pages 156-174.
Crossref
V.L. Berdichevsky. (2017) A continuum theory of edge dislocations. Journal of the Mechanics and Physics of Solids 106, pages 95-132.
Crossref
Maria Giovanna Mora, Mark A. Peletier & Lucia Scardia. (2017) Convergence of Interaction-Driven Evolutions of Dislocations with Wasserstein Dissipation and Slip-Plane Confinement. SIAM Journal on Mathematical Analysis 49:5, pages 4149-4205.
Crossref
István Groma, Michael Zaiser & Péter Dusán Ispánovity. (2016) Dislocation patterning in a two-dimensional continuum theory of dislocations. Physical Review B 93:21.
Crossref
Thomas Hochrainer. (2016) Thermodynamically consistent continuum dislocation dynamics. Journal of the Mechanics and Physics of Solids 88, pages 12-22.
Crossref
M Kooiman, M Hütter & MGD Geers. (2015) Effective mobility of dislocations from systematic coarse-graining. Journal of Statistical Mechanics: Theory and Experiment 2015:6, pages P06005.
Crossref
Stephan Wulfinghoff, Samuel Forest & Thomas Böhlke. (2015) Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures. Journal of the Mechanics and Physics of Solids 79, pages 1-20.
Crossref
Lorenzo Bardella & Andrea Panteghini. (2015) Modelling the torsion of thin metal wires by distortion gradient plasticity. Journal of the Mechanics and Physics of Solids 78, pages 467-492.
Crossref
M. Kooiman, M. Hütter & M.G.D. Geers. (2015) Microscopically derived free energy of dislocations. Journal of the Mechanics and Physics of Solids 78, pages 186-209.
Crossref
Sinisa Dj. Mesarovic, Samuel Forest & Jovo P. Jaric. (2015) Size-dependent energy in crystal plasticity and continuum dislocation models. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471:2175, pages 20140868.
Crossref
István Groma, Zoltán Vandrus & Péter Dusán Ispánovity. (2015) Scale-Free Phase Field Theory of Dislocations. Physical Review Letters 114:1.
Crossref
K Schulz, D Dickel, S Schmitt, S Sandfeld, D Weygand & P Gumbsch. (2014) Analysis of dislocation pile-ups using a dislocation-based continuum theory. Modelling and Simulation in Materials Science and Engineering 22:2, pages 025008.
Crossref
Erik Van der Giessen. (2014) Multiscale Plasticity: Reduction or Emergence?. Procedia IUTAM 10, pages 442-446.
Crossref
Jan Kratochvíl. 2014. Plasticity and Beyond. Plasticity and Beyond 199 304 .
Samuel Forest & Nicolas Guéninchault. (2013) Inspection of free energy functions in gradient crystal plasticity. Acta Mechanica Sinica 29:6, pages 763-772.
Crossref
Lorenzo Bardella, Javier Segurado, Andrea Panteghini & Javier Llorca. (2013) Latent hardening size effect in small-scale plasticity. Modelling and Simulation in Materials Science and Engineering 21:5, pages 055009.
Crossref
M. Hütter. (2010) Viscoplasticity of metals: Comments on statistical approaches to dislocation reactions. Journal of Non-Newtonian Fluid Mechanics 165:17-18, pages 1014-1019.
Crossref
Sinisa Dj. Mesarovic, Raghuraman Baskaran & Alexander Panchenko. (2010) Thermodynamic coarsening of dislocation mechanics and the size-dependent continuum crystal plasticity. Journal of the Mechanics and Physics of Solids 58:3, pages 311-329.
Crossref
Sinisa MesarovicDj.Dj.. (2010) Plasticity of crystals and interfaces: From discrete dislocations to size-dependent continuum theory. Theoretical and Applied Mechanics Teorijska i primenjena mehanika 37:4, pages 289-332.
Crossref
Péter Dusán Ispánovity, István Groma & Géza Györgyi. (2008) Evolution of the correlation functions in two-dimensional dislocation systems. Physical Review B 78:2.
Crossref
Surachate Limkumnerd & Erik Van der Giessen. (2008) Statistical approach to dislocation dynamics: From dislocation correlations to a multiple-slip continuum theory of plasticity. Physical Review B 77:18.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.