231 citations
- Centre National de la Recherche ScientifiqueFR38 papers
- Université de RennesFR36 papers
- Université Rennes 1FR12 papers
- Institut de physique du globe de ParisFR10 papers
- Lyon 1 UniversitéFR9 papers
- Institute of Nuclear Physics of LyonFR7 papers
- Consejo Superior de Investigaciones CientíficasES6 papers
- Institute of Environmental Assessment and Water ResearchES6 papers
- Sorbonne Paris CitéFR6 papers
- Institut de Physique des 2 Infinis de LyonFR5 papers
- RMIT UniversityAU5 papers
- Université Paris CitéFR5 papers
4 papers · 1 filter
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…