Dislocation dynamics: from microscopic models to macroscopic crystal plasticity

Hajj, A. El; Ibrahim, H.; Monneau, R.
July 2009
Continuum Mechanics & Thermodynamics;Jul2009, Vol. 21 Issue 2, p109
Academic Journal
In this paper we study the connection between four models describing dislocation dynamics: a generalized 2D Frenkel-Kontorova model at the atomic level, the Peierls-Nabarro model, the discrete dislocation dynamics and a macroscopic model with dislocation densities. We show how each model can be deduced from the previous one at a smaller scale.


Related Articles

  • The anti-symmetry principle for quasi-static crack propagation in Mode III. Oleaga, Gerardo // International Journal of Fracture;Sep2007, Vol. 147 Issue 1-4, p21 

    In this note we study a basic propagation criterion for quasi-static crack evolution in Mode III. Using classical techniques of complex analysis, the assumption of stable growth is expressed in terms of the parameters defining the elastic field around the tip. We explore the consequences of the...

  • Stresses and stress intensity factor from COD of Vickers indentation cracks. Fett, T.; Kounga, A. B.; Rödel, J. // Journal of Materials Science;Mar2004, Vol. 39 Issue 6, p2219 

    Examines the stresses and stress intensity factor from crack opening displacement of Vickers indentation cracks. Measurable total displacements; Determination of a smoothing curve from the individual data points; Plotting of resulting stresses.

  • Particularities of plastic deformation of a titanic alloy. Goncharova, I.; Rychkov, B.; Zhigalkin, V.; Semenov, V.; Usol’tseva, O. // Journal of Mining Science;Nov2006, Vol. 42 Issue 6, p540 

    To describe complex loading of semi-brittle materials, the constitutive relations “stress — deformation” are proposed. These relations are employed to describe the behavior of a titanic alloy under biaxial tension. Different deformation states are analyzed, including the...

  • Solid-solid phase transformation via internal stress-induced virtual melting: Additional confirmations. Levitas, Valery I.; Smilowitz, Laura B.; Henson, Bryan F.; Asay, Blaine W. // Applied Physics Letters;11/7/2005, Vol. 87 Issue 19, p191907 

    Recently, we predicted a mechanism of solid-solid phase transformation (PT) via virtual melting at 121 K below the melting temperature. We report additional experimental and theoretical results for PTs among three polymorphs of the energetic material HMX, α, β, and δ that support this...

  • Damage Characterization in Copper Deformed under Hydrostatic Stress — Experimental Analysis. Flater, P. J.; House, J. W.; De Angelis, R. J.; Nixon, M. E. // AIP Conference Proceedings;2006, Vol. 845 Issue 1, p721 

    The results of an experimental investigation designed to determine the effect of damage created by hydrostatic tensile loading on the properties of copper are reported. Three metallurgical conditions of half-hard OFHC copper were investigated; as worked; annealed 2hr at 400°C (∼40 micron...

  • On a mechanical analogy in the ideal plasticity theory. Alekhin, V. V.; Annin, B. D.; Ostapenko, V. V. // Journal of Applied Mechanics & Technical Physics;Jul2008, Vol. 49 Issue 4, p580 

    The Cauchy problem of propagation of plastic state zones in a boundless medium from the boundary of a convex surface, along which normal pressure and shear forces act, is considered. In the case of complete plasticity, the Tresca system of quasi-static equations of ideal plasticity, which...

  • A Multiscale Model Based On Intragranular Microstructure — Prediction Of Dislocation Patterns At The Microscopic Scale. Franz, Gérald; Abed-Meraim, Farid; Zineb, Tarak Ben; Lemoine, Xavier; Berveiller, Marcel // AIP Conference Proceedings;2007, Vol. 907 Issue 1, p47 

    A large strain elastic-plastic single crystal constitutive law, based on dislocation annihilation and storage, is implemented in a new self-consistent scheme, leading to a multiscale model which achieves, for each grain, the calculation of plastic slip activity, with help of regularized...

  • A Remark on Deformations of Hurwitz Frobenius Manifolds. Buryak, Alexandr; Shadrin, Sergey // Letters in Mathematical Physics;Sep2010, Vol. 93 Issue 3, p243 

    In this note, we use the formalism of multi-KP hierarchies in order to give some general formulas for infinitesimal deformations of solutions of the Darboux–Egoroff system. As an application, we explain how Shramchenko’s deformations of Frobenius manifold structures on Hurwitz...

  • On application of classical Eshelby approach to calculating effective elastic moduli of dispersed composites. Ustinov, K.; Goldstein, R. // International Journal of Fracture;Sep2007, Vol. 147 Issue 1-4, p55 

    The problem of finding effective elastic moduli of media with spheroid inclusions in case of small concentration of these inclusions is addressed. A number of particular solutions, both known and new, were obtained as limit transitions and asymptotical expansion of the general solution, based on...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics