A smoothed variable horizon peridynamics and its application to the fracture parameters evaluation
A smoothed variable horizon peridynamics and its application to the fracture parameters evaluation
复制标题
DOI：
10.1007/s00707-020-02863-9
复制
发表时间：
2020-07
期刊：
影响因子：
2.7
通讯作者：
M. Imachi;Takaaki Takei;Murat Özdemir;Satoyuki Tanaka;S. Oterkus;E. Oterkus
中科院分区：
文献类型：
--
作者：
M. Imachi;Takaaki Takei;Murat Özdemir;Satoyuki Tanaka;S. Oterkus;E. Oterkus
周波力学在解决断裂力学问题方面具有很好的应用前景。另一方面，为了确保精度，需要大量的颗粒（材料点）。引入可变视野是一种替代方法，通过改变视野大小的问题域。在本研究中，我们提出了一个新的可变视野的概念。已知的是，不期望的"鬼"力沿着不同层位的过渡区域沿着出现。为了抑制鬼力，在不同尺度的粒子分布之间引入了视界尺寸在一定范围内的渐变，称为平滑长度。平滑的可变水平周期性的效率证明了几个数值研究采用普通的基于状态的周期性。作为一个基本的情况下，线性位移场被认为是。据观察，所提出的方法显着减少了鬼力沿着不同的空间离散的接口。此外，静态裂纹的动态应力强度因子进行了仔细检查。保证了变层位周波中裂缝参数的路径无关性。所提出的方法的效率进行了讨论。据监测，引入平滑长度的概念显着降低了计算成本的周波建模。
Peridynamics has attractive features for solving several fracture mechanics problems. On the other hand, to ensure the accuracy, a large amount of particles (material points) is required. Introduction of variable horizon is an alternative approach by changing the horizon size over the problem domain. In the present study, we propose a novel variable horizon concept. It is known that an undesired “ghost” force arises along the transition region of different horizons. In order to suppress the ghost force, the gradual variation in the horizon size over a certain region, called smoothing length, is introduced between different scale particle distributions. Efficiency of the smoothed variable horizon peridynamics is demonstrated by several numerical studies employing the ordinary state-based peridynamics. As a basic case, a linear displacement field is considered. It is observed that the proposed approach significantly reduces the ghost forces along the interface of different spatial discretizations. Additionally, the dynamic stress intensity factors of stationary cracks are carefully examined. The path independence of the fracture parameters in the variable horizon peridynamics is ensured. The efficiency of the presented method is then discussed. It is monitored that introduction of the smoothing length concept significantly reduces the computational costs in the peridynamic modeling.