Dynamic Analysis of Elastic Solids by MPS Method

Dynamic Analysis of Elastic Solids by MPS Method
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MPS 法弹性固体动力学分析

DOI:
10.1299/kikaia.71.16
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发表时间:
2005
期刊:
Transactions of the Japan Society of Mechanical Engineers. A
影响因子:
--
通讯作者:
Y. Oka
Y. Oka
中科院分区:
--
文献类型:
--
作者:
MooSeop Song;S. Koshizuka;Y. Oka

文献摘要

被引文献

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这项研究通过MPS(移动粒子半图)方法对固体进行了动态分析。开发了基于MPS方法的粒子相互作用模型的二维代码,以模拟弹性行为,固体中的大变形和断裂。 MPS方法中不需要网格,因此可以在没有网格失真的情况下分析断裂和较大的变形。我们提出了一种新的粒子方法,用于动态模拟弹性。弹性固体中运动方程的特征是材料密度,杨氏模量和泊松比在相邻颗粒之间离散与粒子相互作用。考虑颗粒的旋转是为了在离散配方中保存角动量。我们不仅在弹性中的动量保存以及弹性模型中的位移和应力分布的相互作用方面取得了良好的效果。获得了数值稳定性的限制。模拟了各种固体的大变形和断裂。结果表明与实验一致。
This study provides dynamic analysis of solids by MPS (Moving Particle Semi-implicit) method. A two-dimensional code based on particle interaction model of MPS method is developed to simulate elastic behaviors, large deformation and fracture in solids. Meshes are not needed in the MPS method, so that fracture as well as large deformation can be analyzed without mesh distortion. We propose a new particle method for dynamic simulation of elasticity. The equation of motion in elastic solids that is characterized by material density, Young's modulus and Poisson's ratio is discretized to particle interaction between neighboring particles. Rotation of particles is considered for the conservation of angular momentum in the discretized formulation. We had good results about not only conservation of momentum in physical quantities but also reciprocal action of displacements and stress distributions in elastic models. Limit of numerical stability is obtained. Large deformation and fracture of various solids are simulated. The results show good agreement with experiments.