A Unifying Phase Diagram for the Dynamics of Sheared Solids and Granular Materials
作者： Yehuda Ben-Zion , Karin A. Dahmen , Jonathan T. Uhl
DOI: 10.1007/S00024-011-0273-7
关键词: Materials science 、 Brittleness 、 Solid mechanics 、 Scaling 、 Slip (materials science) 、 Granular material 、 Power law 、 Deformation (engineering) 、 Shear rate 、 Geotechnical engineering 、 Mechanics 、 Geochemistry and Petrology 、 Geophysics
摘要: We present a simple unifying model that can be used to analyze, within single framework, different dynamic regimes of shear deformation brittle, plastic, and granular materials. The basic seen in the response both solids materials slowly increasing loading are scale-invariant behavior with power law statistics, quasi-periodicity system size events, persisting long term mode switching between former two types response. provides universal analytical mean field results on statistics failure events distributed versus localized spatial responses. summarized phase diagram spanned by three tuning parameters: strength change (weakening, neutral or strengthening) during slip dissipation stress transfer (related void fraction damaged solids), ratio rate over healing controlling regaining cohesion following failures brittle solids. scaling predictions agree experimental, numerical, observational data avalanches solids, materials, earthquake faults. additional should tested future observation simulation data.
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