当前位置: X-MOL 学术Granular Matter › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Contact model for elastically anisotropic bodies and efficient implementation into the discrete element method
Granular Matter ( IF 2.4 ) Pub Date : 2021-04-17 , DOI: 10.1007/s10035-021-01104-7
Saviz Mowlavi , Ken Kamrin

We introduce a contact law for the normal force generated between two contacting, elastically anisotropic bodies of arbitrary geometry. The only requirement is that their surfaces be smooth and frictionless. This anisotropic contact law is obtained from a simplification of the exact solution to the continuum elasticity problem and takes the familiar form of Hertz’ contact law, with the only difference being the orientation-dependence of the material-specific contact modulus. The contact law is remarkably accurate when compared with the exact solution, for a wide range of materials and surface geometries. We describe a computationally efficient implementation of the contact law into a discrete element method code, taking advantage of the precomputation of the contact modulus over all possible orientations. Finally, we showcase two application examples based on real materials where elastic anisotropy of the particles induces noticeable effects on macroscopic behavior. Notably, the second example demonstrates the ability to engineer tunable vibrational band gaps in a one-dimensional granular crystal by mere rotation of the constituent spherical particles.

Graphic abstract



中文翻译:

弹性各向异性体的接触模型及其在离散元法中的有效实现

我们介绍了两个任意几何形状的弹性各向异性接触体之间产生的法向力的接触定律。唯一的要求是它们的表面光滑无摩擦。这种各向异性接触定律是通过简化对连续弹性问题的精确解而获得的,并且采用了赫兹接触定律的熟悉形式,唯一的区别是材料比接触模量的方向依赖性。与精确的解决方案相比,接触定律对于多种材料和表面几何形状都非常精确。我们利用接触模量在所有可能方向上的预计算优势,将接触定律的计算有效实现描述为离散元素方法代码。最后,我们展示了两个基于实际材料的应用示例,其中颗粒的弹性各向异性对宏观行为产生了明显的影响。值得注意的是,第二个示例证明了仅通过旋转球形球体即可在一维颗粒状晶体中设计可调振动带隙的能力。

图形摘要

更新日期:2021-04-18
down
wechat
bug