14 papers
Fracture Roughness and Correlation Length in the Central Force Model
Jan Øystein Haavig Bakke, Thomas Ramstad, Alex Hansen
We measure the roughness exponent and the correlation length exponent of a stress-weighted percolation process in the central force model in 2D. The roughness exponent is found to…
Effects of Buckling on Stress and Strain in Thin Randomly Disordered Tension-Loaded Sheets
Bjorn Skjetne, Torbjorn Helle, Alex Hansen
We study how crack buckling affects stress and strain in a thin sheet with random disorder. The sheet is modeled as an elastic lattice of beams where each of the beams have individ…
Stochastic Model for the Interaction of Buckling and Fracture in Thin Tension-Loaded Sheets
Bjorn Skjetne, Torbjorn Helle, Alex Hansen
We introduce a model of fracture which includes the out-of-plane degrees of freedom necessary to describe buckling in a thin-sheet material. The model is a regular square lattice o…
Mean Field Theory of Localization in the Fuse Model
Renaud Toussaint, Alex Hansen
We propose a mean field theory for the localization of damage in a quasistatic fuse model on a cylinder. Depending on the quenched disorder distribution of the fuse thresholds, we…
Two-phase flow in porous media: dynamical phase transition
Henning Arendt Knudsen, Alex Hansen
Two-phase flow systems in porous media have complex dynamics. It is well established that a wide range of system parameters like viscosities and porosity as well as flow parameters…
Generic differential equation for fractional flow of steady two-phase flow in porous media
Henning Arendt Knudsen, Alex Hansen
We report on generic relations between fractional flow and pressure in steady two-phase flow in porous media. The main result is a differential equation for fractional flow as a fu…