| Authors: |
V. Petaja
and M. Talamali
and S. Roux
and D. Vandembroucq
|
| Editors: |
Luciano Pietronero
and Vittorio Loreto
and Stefano Zapperi
|
| URL: |
http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=438 |
| Tags: |
criticality
depinning
plasticity
shear
statphys23
stress
topic-3
|
| Abstract: |
A well studied example of depinning at criticality is an elastic line in disordered media driven by an external force [1]. This model is relevant for understanding such phenomena as spreading of a wetting front or propagation of cracks in amorphous materials. Due to long range elastic interactions numerical implementation on a lattice with conventional Euclidean geometry will give for such pinning/depinning models the complexity of O(N). However, with a hierarchically structured underlying lattice one can achieve the complexity of
O[log(N)] [2]. We generalize the hierarchical lattice implementation to more complex pinning models. Here we present our numerical studies on a two dimensional coarse-grained model [3] of in-plane plastic shear deformations inducing quadrupolar elastic field [4]. With increasing shear stress the system reaches steady state plastic flow corresponding to the critical shear stress. From the scaling relations of this steady state we find the corresponding critical exponents.
1) E. Rolley, C. Guthmann, R. Gombrowicz, and V. Repain, Phys. Rev. Lett. 80, 2865 (1998); A. Tanguy, M. Gounelle, and S. Roux, Phys. Rev. E 58, 1577 (1998).\\
2) D. Vandembroucq and S. Roux, Phys. Rev. E 70, 026103 (2004).\\
3) J.-C. Baret, D. Vandembroucq, and S. Roux, Phys. Rev. Lett. 89, 195506 (2002). \\
4) G. Picard, A. Ajdari, F. Lequeux, and L. Bocquet, Eur. Phys. J. E 15, 371 (2004). |
@incollection{statphys23_0438,
title = {Hierarchical lattice model for depinning systems},
address = {Genova, Italy},
author = {V. Petaja and M. Talamali and S. Roux and D. Vandembroucq},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=438},
year = {2007},
abstract = {A well studied example of depinning at criticality is an elastic line in disordered media driven by an external force [1]. This model is relevant for understanding such phenomena as spreading of a wetting front or propagation of cracks in amorphous materials. Due to long range elastic interactions numerical implementation on a lattice with conventional Euclidean geometry will give for such pinning/depinning models the complexity of O(N). However, with a hierarchically structured underlying lattice one can achieve the complexity of
O[log(N)] [2]. We generalize the hierarchical lattice implementation to more complex pinning models. Here we present our numerical studies on a two dimensional coarse-grained model [3] of in-plane plastic shear deformations inducing quadrupolar elastic field [4]. With increasing shear stress the system reaches steady state plastic flow corresponding to the critical shear stress. From the scaling relations of this steady state we find the corresponding critical exponents.
1) E. Rolley, C. Guthmann, R. Gombrowicz, and V. Repain, Phys. Rev. Lett. 80, 2865 (1998); A. Tanguy, M. Gounelle, and S. Roux, Phys. Rev. E 58, 1577 (1998).\\
2) D. Vandembroucq and S. Roux, Phys. Rev. E 70, 026103 (2004).\\
3) J.-C. Baret, D. Vandembroucq, and S. Roux, Phys. Rev. Lett. 89, 195506 (2002). \\
4) G. Picard, A. Ajdari, F. Lequeux, and L. Bocquet, Eur. Phys. J. E 15, 371 (2004).},
keywords = {criticality depinning plasticity shear statphys23 stress topic-3 }
}
::