48 citations · 143 across the 5 of their papers we have counts for
5 papers
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…
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…