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Granular solid dynamics with eutaraxy and hysteresis
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DOI：10.1007/s11440-019-00820-y.png)
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The dynamics of grain fabrics is captured by means of a hidden state variable , named eutaraxy, which quantifies the propensity for a heat-like micro-seismicity due to disturbing actions. Its increase by driving and decrease by halting are captured by an evolution equation with switch functions. The specific elastic energy depends on the elastic strain and the void ratio so that a Coulomb condition and a maximal void ratio denote critical points. The rate-independent evolution equation of the elastic strain tensor implies a micro-seismically activated relaxation. Monotonous deformations lead to a hypoplastic response, and thereafter isochoric ones tend to steady states . The hysteresis of repeated reversals, which requires rate-independence and stability, is captured without further parameters, and likewise the accumulation of anelastic strain by cycles with small amplitudes. The parameters are physically defined and can be calibrated by means of triaxial tests. Limitations and possible extensions are outlined.
Keyword:
Dynamics
Eutaraxy
Hysteresis
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