2016/09/26 by K. Z. Nanjo · 11 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Brittleness #Bundle #Composite material #Deformation (meteorology) #Engineering #Fiber bundle #Geotechnical and Geomechanical Engineering #High-pressure geophysics and materials #Materials science #Structural engineering #cond-mat.mtrl-sci #earthquake and tectonic studies #physics.geo-ph
paper · pdf · doi:10.1007/s10704-016-0175-x
published in International Journal of Fracture 204(2), 225-237 (Springer Science+Business Media)
arxiv created 2016/09/26 · openalex publication_date 2016/12/22 · arxiv updated 2016/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The deformation of brittle material is primarily accompanied by micro-cracking and faulting. However, it has often been found that continuum fluid models, usually based on a non-Newtonian viscosity, are applicable. To explain this rheology, we use a fiber-bundle model, which is a model of damage mechanics. In our analyses, yield stress was introduced. Above this stress, we hypothesize that the fibers begin to fail and a failed fiber is replaced by a new fiber. This replacement is analogous to a micro-crack or an earthquake and its iteration is analogous to stick-slip motion. Below the yield stress, we assume that no fiber failure occurs, and the material behaves elastically. We show that deformation above yield stress under a constant strain rate for a sufficient amount of time can be modeled as an equation similar to that used for non-Newtonian viscous flow. We expand our rheological model to treat viscoelasticity and consider a stress relaxation problem. The solution can be used to understand aftershock temporal decay following an earthquake. Our results provide justification for the use of a non-Newtonian viscous flow to model the continuum deformation of brittle materials.