355 citations · 2.6k across the 109 of their papers we have counts for
16 papers · 1 filter
Crack Localization and the Interplay between Stress Enhancement and Thermal Noise
Santanu Sinha, Subhadeep Roy, Alex Hansen
We study the competition between thermal fluctuations and stress enhancement in the failure process of a disordered system by using a local load sharing fiber bundle model. The the…
Phase transitions and correlations in fracture processes where disorder and stress compete
Santanu Sinha, Subhadeep Roy, Alex Hansen
We study the effect of the competition between disorder and stress enhancement in fracture processes using the local load sharing fiber bundle model, a model that hovers on the bor…
Can Local Stress Enhancement Induce Stability in Fracture Processes? Part II: The Shielding Effect
Jonas T. Kjellstadli, Eivind Bering, Srutarshi Pradhan +1
We use the local load sharing fiber bundle model to demonstrate a shielding effect where strong fibers protect weaker ones. This effect exists due to the local stress enhancement a…
Can Local Stress Enhancement Induce Stability in Fracture Processes? Part I: Apparent Stability
Jonas T. Kjellstadli, Eivind Bering, Martin Hendrick +2
By comparing the evolution of the local and equal load sharing fiber bundle models, we point out the paradoxical result that stresses seem to make the local load sharing model stab…
Cracks in random brittle solids: From fiber bundles to continuum mechanics
Sylvain Patinet, Damien Vandembroucq, Alex Hansen +1
Statistical models are essential to get a better understanding of the role of disorder in brittle disordered solids. Fiber bundle models play a special role as a paradigm, with a v…
The Local load sharing fiber bundle model in higher dimensions
Santanu Sinha, Jonas T. Kjellstadli, Alex Hansen
We consider the local load sharing fiber bundle model in one to five dimensions. Depending on the breaking threshold distribution of the fibers, there is a transition where the fra…
Local dynamics of a randomly pinned crack front: A numerical study
Knut Skogstrand Gjerden, Arne Stormo, Alex Hansen
We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has prev…
Universality Classes in Constrained Crack Growth
Knut S. Gjerden, Arne Stormo, Alex Hansen
Based on an extension of the fiber bundle model we investigate numerically the motion of the crack front through a weak plane separating a soft and an infinitely stiff block. We fi…
Fracturing highly disordered materials
A. A. Moreira, C. L. N. Oliveira, A. Hansen +3
We investigate the role of disorder on the fracturing process of heterogeneous materials by means of a two-dimensional fuse network model. Our results in the extreme disorder limit…
Heat diffusion in a two-dimensional thermal fuse model
Glenn Tørå, Alex Hansen
We present numerical studies of electrical breakdown in disordered materials using a two-dimensional thermal fuse model with heat diffusion. A conducting fuse is heated locally by…
Capillary-Driven Instability of Immiscible Fluid Interfaces Flowing in Parallel in Porous Media
Thomas Ramstad, Alex Hansen
When immiscible wetting and non-wetting fluids move in parallel in a porous medium, an instability may occur at sufficiently high capillary numbers so that interfaces between the f…
Flow in Rough Self-Affine Fractures Joints
José S. Andrade, Ascânio D. Araújo, Fernando A. Oliveira +1
We investigate viscous and non-viscous flow in two-dimensional self-affine fracture joints through direct numerical simulations of the Navier-Stokes equations. As a novel hydrodyna…
Failure and avalanches in complex networks
Jan Øystein Haavig Bakke, Alex Hansen, János Kertész
We study the size distribution of power blackouts for the Norwegian and North American power grids. We find that for both systems the size distribution follows power laws with expo…
Cluster evolution in steady-state two-phase flow in porous media
Thomas Ramstad, Alex Hansen
We report numerical studies of the cluster development of two-phase flow in a steady-state environment of porous media. This is done by including biperiodic boundary conditions in…
Self-Affinity in the Gradient Percolation Problem
Alex Hansen, G. George Batrouni, Thomas Ramstad +1
We study the scaling properties of the solid-on-solid front of the infinite cluster in two-dimensional gradient percolation. We show that such an object is self affine with a Hurst…
Crossover Behavior in Burst Avalanches of Fiber Bundles: Signature of Imminent Failure
Srutarshi Pradhan, Alex Hansen, Per C. Hemmer
Bundles of many fibers, with statistically distributed thresholds for breakdown of individual fibers and where the load carried by a bursting fiber is equally distributed among the…