论文标题
粒状材料中的随机孔塌陷模型
Stochastic Pore Collapse Models in Granular Materials
论文作者
论文摘要
开发了用于颗粒材料中孔塌陷的随机模型。首先，得出了塑性流规则的一般波动应力 - 应变关系。波动解释了通常在异质材料中观察到的塑性变形的非缔合性。其次，扩展了轴对称球形壳压实模型，以说明由于孔尺度上粒状相互作用而导致的材料微观结构的波动。这改变了应力 - 应变的组成方程，以确定孔塌陷的动力学。结果表明，随机微分方程可以从统计意义上说明多尺度相互作用。
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.
