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Granular solid dynamics with eutaraxy and hysteresis
Acta Geotechnica ( IF 5.6 ) Pub Date : 2019-06-06 , DOI: 10.1007/s11440-019-00820-y
Gerd Gudehus

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.

中文翻译:

具有Eutaraxy和滞后的颗粒固体动力学

谷物织物的动力学是通过一个名为eutaraxy的隐藏状态变量来捕获的,该变量量化了由于干扰作用而产生的像热一样的微地震的可能性。它的驱动增加和停止引起的减少被带有开关功能的演化方程所捕获。比弹性能取决于弹性应变和空隙率,因此库仑条件和最大空隙率表示临界点。弹性应变张量的与速率无关的演化方程表示微地震激活的松弛。单调变形会导致发育不全的反应,然后等速变形趋于稳态。重复反转的磁滞需要速率独立性和稳定性,无需其他参数即可捕获,同样,通过小振幅的循环来积累无弹性应变。参数是物理定义的,可以通过三轴测试进行校准。概述了局限性和可能的​​扩展。
更新日期:2019-06-06
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