• Salvalaglio, Marco; Angheluta, Luiza; Huang, Zhi-Feng; Voigt, Alex; Elder, Ken & Vinals, Jorge (2020). A coarse-grained phase-field crystal model of plastic motion. Journal of the mechanics and physics of solids.  ISSN 0022-5096.  137 . doi: https://doi.org/10.1016/j.jmps.2019.103856 Show summary

  The phase-field crystal model in an amplitude equation approximation is shown to provide an accurate description of the deformation field in defected crystalline structures, as well as of dislocation motion. We analyze in detail stress regularization at a dislocation core given by the model, and show how the Burgers vector density can be directly computed from the topological singularities of the phase-field amplitudes. Distortions arising from these amplitudes are then supplemented with non-singular displacements to enforce mechanical equilibrium. This allows for a consistent separation of plastic and elastic time scales in this framework. A finite element method is introduced to solve the combined amplitude and elasticity equations, which is applied to a few prototypical configurations in two spatial dimensions for a crystal of triangular lattice symmetry: i) the stress field induced by an edge dislocation with an analysis of how the amplitude equation regularizes stresses near the dislocation core, ii) the motion of a dislocation dipole as a result of its internal interaction, and iii) the shrinkage of a rotated grain. We compare our results with those given by other extensions of classical elasticity theory, such as strain-gradient elasticity and methods based on the smoothing of Burgers vector densities near defect cores.

• Olsen, Kristian Stølevik; Flekkøy, Eirik Grude; Angheluta, Luiza; Campbell, James; Måløy, Knut Jørgen & Sandnes, Bjørnar (2019). Geometric universality and anomalous diffusion in frictional fingers. New Journal of Physics.  ISSN 1367-2630.  21(6) . doi: 10.1088/1367-2630/ab25bf
• Vollestad, Petter; Ayati, Anis Awal; Angheluta, Luiza; Lacasce, Joseph Henry & Jensen, Atle (2019). Experimental investigation of airflow above waves in a horizontal pipe. International Journal of Multiphase Flow.  ISSN 0301-9322.  110, s 37- 49 . doi: 10.1016/j.ijmultiphaseflow.2018.08.008 Full text in Research Archive.
• Aupart, Claire Olga Maryse; Dunkel, Kristina G; Angheluta, Luiza; Austrheim, Håkon Olaf; Ildefonse, Beniot; Malthe-Sørenssen, Anders & Jamtveit, Bjørn (2018). Olivine Grain Size Distributions in Faults and Shear Zones: Evidence for Nonsteady State Deformation. Journal of Geophysical Research (JGR): Solid Earth.  ISSN 2169-9313.  123(9), s 7421- 7443 . doi: 10.1029/2018JB015836 Full text in Research Archive.
• Santucci, Stephane; Tallakstad, Ken Tore; Angheluta, Luiza; Laurson, Lasse; Toussaint, Renaud & Måløy, Knut Jørgen (2018). Avalanches and extreme value statistics in interfacial crackling dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.  ISSN 1364-503X.  377(2136), s 1- 15 . doi: 10.1098/rsta.2017.0394
• Skaugen, Audun; Angheluta, Luiza & Vinals, Jorge (2018). Dislocation dynamics and crystal plasticity in the phase-field crystal model. Physical review B (PRB).  ISSN 2469-9950.  97(5) . doi: 10.1103/PhysRevB.97.054113 Full text in Research Archive.
• Skaugen, Audun; Angheluta, Luiza & Vinals, Jorge (2018). Separation of Elastic and Plastic Timescales in a Phase Field Crystal Model. Physical Review Letters.  ISSN 0031-9007.  121(25), s 255501-01- 255501-05 . doi: 10.1103/PhysRevLett.121.255501 Full text in Research Archive. Show summary

  A consistent small-scale description of plasticity and dislocation motion in a crystalline solid is presented based on the phase field crystal description. By allowing for independent mass motion and lattice distortion, the crystal can maintain elastic equilibrium on the timescale of plastic motion. We show that the singular (incompatible) strains are determined by the phase field crystal density, while the smooth distortions are constrained to satisfy elastic equilibrium. A numerical implementation of the model is presented and used to study a benchmark problem: the motion of an edge dislocation dipole in a triangular lattice. The time dependence of the dipole separation agrees with continuum elasticity with no adjustable parameters.

• Dumazer, Guillaume Henri; Flekkøy, Eirik Grude; Renard, Francois & Angheluta, Luiza (2017). Transient anomalous diffusion regimes in reversible adsorbing systems. Physical review. E.  ISSN 2470-0045.  96(4) . doi: 10.1103/PhysRevE.96.042106
• Skaugen, Audun & Angheluta, Luiza (2017). Origin of the inverse energy cascade in two-dimensional quantum turbulence. Physical review. E.  ISSN 2470-0045.  95(5) . doi: 10.1103/PhysRevE.95.052144 Full text in Research Archive.
• Hawkins, Christopher; Angheluta, Luiza; Krotkiewski, Marcin & Jamtveit, Bjørn (2016). Reynolds-number dependence of the longitudinal dispersion in turbulent pipe flow. Physical review. E.  ISSN 2470-0045.  93(4) . doi: 10.1103/PhysRevE.93.043119
• Skaugen, Audun & Angheluta, Luiza (2016). Velocity statistics for nonuniform configurations of point vortices. Physical review. E.  ISSN 2470-0045.  93(4) . doi: 10.1103/PhysRevE.93.042137
• Skaugen, Audun & Angheluta, Luiza (2016). Vortex clustering and universal scaling laws in two-dimensional quantum turbulence. Physical review. E.  ISSN 2470-0045.  93(3) . doi: 10.1103/PhysRevE.93.032106
• Hawkins, Christopher; Angheluta, Luiza & Jamtveit, Bjørn (2014). Hydrodynamic shadowing effect during precipitation of dendrites in channel flow. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics.  ISSN 1539-3755.  89(2) . doi: 10.1103/PhysRevE.89.022402
• Jamtveit, Bjørn; Krotkiewski, Marcin; Kobchenko, Maya; Renard, Francois Marie Paul L & Angheluta, Luiza (2014). Pore-space distribution and transport properties of an andesitic intrusion. Earth and Planetary Science Letters.  ISSN 0012-821X.  400, s 123- 129 . doi: 10.1016/j.epsl.2014.05.042
• Mathiesen, Joachim; Angheluta, Luiza & Jensen, M. H. (2014). Statistics of co-occurring keywords in confined text messages on Twitter. The European Physical Journal Special Topics.  ISSN 1951-6355.  223(9), s 1849- 1858 . doi: 10.1140/epjst/e2014-02230-y
• Tarp, Jens M.; Angheluta, Luiza; Mathiesen, Joachim & Goldenfeld, Nigel (2014). Intermittent dislocation density fluctuations in crystal plasticity from a phase-field crystal model. Physical Review Letters.  ISSN 0031-9007.  113(26) . doi: 10.1103/PhysRevLett.113.265503
• Bjerre, Mathias; Tarp, Jens; Angheluta, Luiza & Mathiesen, Joachim (2013). Rotation-induced grain growth and stagnation in phase-field crystal models. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics.  ISSN 1539-3755.  88(2) . doi: 10.1103/PhysRevE.88.020401
• Hawkins, Christopher; Angheluta, Luiza; Hammer, Øyvind & Jamtveit, Bjørn (2013). Precipitation dendrites in channel flow. Europhysics letters.  ISSN 0295-5075.  102(5) . doi: 10.1209/0295-5075/102/54001
• Jafarpour, Farshid; Angheluta, Luiza & Goldenfeld, Nigel (2013). Velocity statistics for interacting edge dislocations in one dimension from Dyson's Coulomb gas model. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics.  ISSN 1539-3755.  88(4) . doi: 10.1103/PhysRevE.88.042123
• LeBlanc, Michael; Angheluta, Luiza; Dahmen, Karin & Goldenfeld, Nigel (2013). Universal fluctuations and extreme statistics of avalanches near the depinning transition. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics.  ISSN 1539-3755.  87(2) . doi: 10.1103/PhysRevE.87.022126
• Mathiesen, Joachim; Angheluta, Luiza; Ahlgren, Peter T.H. & Jensen, Mogens H. (2013). Excitable human dynamics driven by extrinsic events in massive communities. Proceedings of the National Academy of Sciences of the United States of America.  ISSN 0027-8424.  110(43), s 17259- 17262 . doi: 10.1073/pnas.1304179110
• Angheluta, Luiza; Jeraldo, Patricio & Goldenfeld, Nigel (2012). Anisotropic velocity statistics of topological defects under shear flow. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics.  ISSN 1539-3755.  85(1) . doi: 10.1103/PhysRevE.85.011153
• Angheluta, Luiza; Mathiesen, Joachim & Aharonov, Einat (2012). Compaction of porous rock by dissolution on discrete stylolites: A one-dimensional model. Journal of Geophysical Research (JGR): Solid Earth.  ISSN 2169-9313.  117 . doi: 10.1029/2012JB009245
• Assaf, Michael; Angheluta, Luiza & Goldenfeld, Nigel (2012). Effect of Weak Rotation on Large-Scale Circulation Cessations in Turbulent Convection. Physical Review Letters.  ISSN 0031-9007.  109(7) . doi: 10.1103/PhysRevLett.109.074502
• LeBlanc, Michael; Angheluta, Luiza; Dahmen, Karin & Goldenfeld, Nigel (2012). Distribution of Maximum Velocities in Avalanches Near the Depinning Transition. Physical Review Letters.  ISSN 0031-9007.  109(10) . doi: 10.1103/PhysRevLett.109.105702
• Angheluta, Luiza; Candela, Thibault; Mathiesen, Joachim & Renard, Francois Marie Paul L (2011). Effect of Surface Morphology on the Dissipation During Shear and Slip Along a Rock-Rock Interface that Contains a Visco-elastic Core. Pure and Applied Geophysics.  ISSN 0033-4553.  168(12), s 2335- 2344 . doi: 10.1007/s00024-011-0272-8
• Assaf, Michael; Angheluta, Luiza & Goldenfeld, Nigel (2011). Rare Fluctuations and Large-Scale Circulation Cessations in Turbulent Convection. Physical Review Letters.  ISSN 0031-9007.  107(4) . doi: 10.1103/PhysRevLett.107.044502
• Angheluta, Luiza; Mathiesen, Joachim; Misbah, C & Renard, Francois Marie Paul L (2010). Morphological instabilities of stressed and reactive geological interfaces. Journal of Geophysical Research (JGR): Solid Earth.  ISSN 2169-9313.  115 . doi: 10.1029/2009JB006880
• Angheluta, Luiza; Jettestuen, Espen & Mathiesen, Joachim (2009). Thermodynamics and roughening of solid-solid interfaces. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics.  ISSN 1539-3755.  79(3) . doi: 10.1103/PhysRevE.79.031601
• Angheluta, Luiza & Mathiesen, Joachim (2009). Thermodynamics of stressed solids: Slow deformation and roughening of material interfaces. The European Physical Journal Special Topics.  ISSN 1951-6355.  178(1), s 123- 132 . doi: 10.1140/epjst/e2010-01185-3
• Angheluta, Luiza; Jettestuen, Espen; Mathiesen, Joachim; Renard, Francois Marie Paul L & Jamtveit, Bjørn (2008). Stress-driven phase transformation and the roughening of solid-solid interfaces. Physical Review Letters.  ISSN 0031-9007.  1 . doi: 10.1103/PhysRevLett.100.096105
• Angheluta, Luiza; Jettestuen, Espen; Mathiesen, Joachim; Renard, Francois & Jamtveit, Bjørn (2008). Stress driven stress transformation and the roughening of solid-solid interfaces. Physical Review Letters.  ISSN 0031-9007.  100
• Jensen, Mogens H.; Sneppen, Kim & Angheluta, Luiza (2008). Kolmogorov scaling from random fields. Europhysics letters.  ISSN 0295-5075.  97(1)
• Angheluta, Luiza; Benzi, Roberto; Biferale, Luca; Procaccia, Itamar & Toschi, Frederico (2006). On the anomalous scaling exponents in nonlinear models of turbulence. Physical Review Letters.  ISSN 0031-9007.  97(160601)

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• Myhra, Kristin Sæterdal & Angheluta, Luiza (2011). A Phase Field Crystal Study of Freezing and Melting.
• Myhra, Kristin Sæterdal & Angheluta, Luiza (2011). How do crystals melt: the role of dislocations and grain boundaries.
• Angheluta, Luiza (2009). Instabilities in reactive and deformable two phase media.
• Angheluta, Luiza (2007). Physical mechanisms in the formation and dynamics of stylolitic surfaces.
• Angheluta, Luiza; Jettestuen, Espen; Mathiesen, Joachim; Renard, Francois Marie Paul L & Jamtveit, Bjørn (2007). Solid-solid phase transformation: roughening of stylolites.
• Angheluta, Luiza & Mathiesen, Joachim (2007). Energy consideration of elastic interfaces: some insights on stylolites.

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