Simple shear in 3D DEM polyhedral particles and in a simplified 2D continuum model

Simple shear in 3D DEM polyhedral particles and in a simplified 2D continuum model
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3D DEM 多面体粒子和简化的 2D 连续体模型中的简单剪切

DOI:
10.1007/s10035-013-0421-0
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发表时间:
2013
期刊:
影响因子:
2.4
通讯作者:
Langston P
Langston P
中科院分区:
工程技术3区
文献类型:
--
作者:
Langston P

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本文建立了一个离散元模型(DEM),模拟了具有周期性边界和壁面的混合规则圆形多面体和球体在简单剪切作用下的三维变形。结果表明,合理的现实行为发展剪切和膨胀或压实取决于初始状态是密集或松散。类似地,主应力方向和应变速率方向的非共轴性被示出。多面体显示比球体更一般的真实行为,但运行时间要长得多。质点力包括法向弹性力、阻尼力、切向摩擦力和滚动摩擦力。没有凝聚力或间隙流体被建模。建立了一个单独的简化的动态隐式有限差分欧拉连续体模型,并将其参数用于拟合离散元法的结果。这使用质量和动量平衡,非线性本构模型和莫尔-库仑破坏准则。它在2D中运行,具有周期性边界,有效地使其成为伪1D。该模型能够再现DEM结果的一般趋势,为进一步开发和理解物理学奠定了良好的基础。
We develop a discrete element model (DEM) simulation of mixed regular rounded polyhedra and spheres in simple shear with walls and periodic boundaries in 3-dimensions. The results show reasonably realistic behaviour developing shear and dilation or compaction depending on whether the initial state is dense or loose. Similarly non-coaxiality of principal stress direction and strain rate direction are shown. Polyhedra show more general realistic behaviour than spheres but take significantly longer to run. Particle forces include normal elastic, damping, and tangential friction and rolling friction. No cohesion or interstitial fluid is modelled. A separate simplified dynamic implicit finite difference Eulerian continuum model is developed and its parameters are used to fit the DEM results. This uses mass and momentum balances, a non-linear constitutive model and Mohr–Coulomb failure criterion. It runs in 2D with periodic boundaries effectively making it pseudo-1D. The model can reproduce the general trend of the DEM results and is a good basis for further development and understanding the physics.
DOI: 10.1007/s10035-010-0207-6
发表时间: 2010-10-01
期刊: GRANULAR MATTER
影响因子: 2.4
作者:
Katagiri, Jun;Matsushima, Takashi;Yamada, Yasuo
通讯作者: Yamada, Yasuo