Elastic moduli of simple mass spring models
Elastic moduli of simple mass spring models
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DOI：
10.1007/s00371-014-1015-5
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发表时间：
2015-10-01
期刊：
影响因子：
3.5
通讯作者：
Szymczak, Piotr
中科院分区：
文献类型：
--
作者：
Kot, Maciej;Nagahashi, Hiroshi;Szymczak, Piotr
质量弹簧模型（MSM）是计算机图形学和虚拟现实应用中表示软体的常用方法。在本文中，我们研究了最简单的由质点和线性弹簧组成的MSM的物理性质。这些节点要么被放置在立方晶格上，要么在系统内随机定位。我们计算了这种模型的弹性模量，并与其他研究的结果。我们发现，MSM系统的几何特征和建模材料的物理性质之间存在明确的关系。它也表明，这些模型表现出适当的收敛到一个独特的解决方案后，网格细化，因此可以代表弹性材料与高精度。
Mass spring models (MSMs) are a popular choice for representation of soft bodies in computer graphics and virtual reality applications. In this paper, we investigate physical properties of the simplest MSMs composed of mass points and linear springs. The nodes are either placed on a cubic lattice or positioned randomly within the system. We calculate the elastic moduli for such models and relate the results to other studies. We show that there is a well-defined relationship between the geometric characteristics of the MSM systems and physical properties of the modeled materials. It is also demonstrated that these models exhibit a proper convergence to a unique solution upon mesh refinement and thus can represent elastic materials with a high precision.