170 citations · 1.3k across the 49 of their papers we have counts for
8 papers · 1 filter
Dynamics and structure of interfacial crack fronts
Knut Jorgen Maloy, Renaud Toussaint, Jean Schmittbuhl
The propagation of an interfacial crack front through a weak plane of a transparent Plexiglas block has been studied experimentally. A stable crack in mode I was generated by loadi…
Interacting damage models mapped onto Ising and percolation models
Renaud Toussaint, Steven R. Pride
We introduce a class of damage models on regular lattices with isotropic interactions, as e.g. quasistatic fiber bundles. The system starts intact with a surface-energy threshold r…
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…
Dynamic roughening and fluctuations of dipolar chains
Renaud Toussaint, Geir Helgesen, Eirik G. Flekkøy
Nonmagnetic particles in a carrier ferrofluid acquire an effective dipolar moment when placed in an external magnetic field. This fact leads them to form chains that will roughen d…
Thermodynamics of fiber bundles
Steven R. Pride, Renaud Toussaint
A recent theory that determines the properties of disordered solids as the solid accumulates damage is applied to the special case of fiber bundles with global load sharing and is…
Fracture of disordered solids in compression as a critical phenomenon: III. Analysis of the localization transition
Renaud Toussaint, Steven R. Pride
The properties of the Hamiltonian developed in Paper II are studied showing that at a particular strain level a ``localization'' phase transition occurs characterized by the emerge…
Fracture of disordered solids in compression as a critical phenomenon: II. Model Hamiltonian for a population of interacting cracks
Renaud Toussaint, Steven R. Pride
To obtain the probability distribution of 2D crack patterns in mesoscopic regions of a disordered solid, the formalism of Paper I requires that a functional form associating the cr…
Fracture of disordered solids in compression as a critical phenomenon: I. Statistical mechanics formalism
Renaud Toussaint, Steven R. Pride
This is the first of a series of three articles that treats fracture localization as a critical phenomenon. This first article establishes a statistical mechanics based on ensemble…