Stochastic Pore Collapse Models in Granular Materials.
Stochastic Pore Collapse Models in Granular Materials.
复制标题
颗粒材料中的随机孔隙塌陷模型。
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
D. Tartakovsky
中科院分区：
文献类型：
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作者：
Joseph Bakarji;D. Tartakovsky
开发了颗粒材料中孔隙塌陷的随机模型。首先，推导出塑性流动规则的一般脉动应力-应变关系。这种波动解释了通常在异质材料中观察到的塑性变形的非关联性。其次，扩展了轴对称球壳压实模型，以解释由于孔隙尺度上的颗粒相互作用而导致的材料微观结构的波动。这改变了决定孔隙塌陷动力学的应力-应变本构方程。结果表明，随机微分方程可以在统计意义上解释多尺度相互作用。
Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations typically observed in heterogeneous materials. Second, an axisymmetric spherical shell compaction model is extended to account for fluctuations in the material microstructure due to granular interactions at the pore scale. This changes the stress-strain constitutive equation determining the dynamics of pore collapse. Results show that stochastic differential equations can account for multiscale interactions in a statistical sense.