• 先进材料加工工程 •

### 弹性力学中无网格和有限元耦合的元胞自动机算法

1. 西南科技大学制造科学与工程学院，绵阳,621010
• 出版日期:2017-09-10 发布日期:2017-09-07
• 基金资助:
国家自然科学基金资助项目(11472232)；
四川省教育厅教改项目(14JGCX07);
制造过程测试技术省部共建实验室基金资助项目(13zxzk05)
National Natural Science Foundation of China （No. 11472232）

### A Coupling CA Algorithm of Meshless and FEM in Elasticity

CHEN Zeyun;YUAN Weifeng

1. School of Manufacturing Science and Engineering，Southwest University of Science and Technology，Mianyang，Sichuan，621010
• Online:2017-09-10 Published:2017-09-07
• Supported by:
National Natural Science Foundation of China （No. 11472232）

Abstract: A CA was developed to combine the advantages of FEM and meshless method which was used to analyze 2-dimensional elastic problems. By the CA, a 2-dimensional domain was discretized into a grid of nodes. These nodes were distributed randomly in the domain and they were divided into the FEM group and the meshless group. In the FEM zone which was mostly defined near the boundaries of the domain, FEM elements were used to establish the relationship between one node and other adjacent nodes. In the meshless zone which was normally away from the boundaries, the adjacent nodes were related by employing the concept of displacement interpolation used in FEM. However, each nodes, wherever they were in the FEM zone or meshless zone, were dealt with under the CA frame, that is, the unknown displacements of each nodes were evaluated by CA algorithm. Unlike FEM, the proposed CA solver worked out the results through automatic evolution, instead of Gaussian elimination or other conventional methods. Based on the current CA algorithm, FEM and meshless may be merged seamlessly. The novelty and the correctness of the current approach were proven by numerical examples.