| 摘 要: 近场动力学是一种使用积分方程来描述材料受力情况的方法，在解决不连续问题上有很好的应用前景。在近场动力学仿真过程中，纤维复合材料的计算需要消耗大量的计算机资源。而庞大的计算量是计算效率低的一个重要影响因素，因此提出一种结合经典弹性力学解析法的加速方法，能有效提升计算效率。引入一种通过误差计算数值迭代收敛速度的评价方法，并完成了纤维复合材料仿真程序开发、迭代误差算法设计和可视化程序开发。经过验证，该程序能有效模拟单层纤维复合材料的位移情况，在迭代误差收敛达到1×10-8 mm时迭代收敛速度提升1倍。 |
| 关键词: 近场动力学理论；纤维复合材料；数值计算；程序开发 |
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中图分类号: TP305
文献标识码: A
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| 基金项目: 贵州省科技计划项目(黔科合支撑[2019]2886号)；贵州省科技计划项目(黔科合平台人才[2019]5802号). |
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| Research on a Simulation Acceleration Method of Fiber Composites based on Peridynamics |
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ZHOU Ji1, QIAN Songrong2, RAN Xiu1, XU Zhengyun1
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( 1.School of Mechanical Engineering, Guizhou University, Guiyang 550025, China ;
2.State Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China )
lgqzj@foxmail.com; qiansongr@163.com; 2501348901@qq.com; 909718747@qq.com
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| Abstract: Peridynamics is a method of using integral equations to describe the force of materials, and it has a good application prospect in solving discontinuous problems. In the process of peridynamics simulation, the calculation of fiber composites consumes many computer resources. The huge computational volume is an important influence factor of the low calculation efficiency. Therefore, this paper proposes an acceleration method combined with classical elastic analysis method, which can effectively improve the calculation efficiency. A method for evaluating the convergence rate of numerical iteration through error calculation is introduced, and the development of fiber composite simulation program, iterative error algorithm and visual program are completed. After verification, the program can effectively simulate the displacement of single-layer fiber composites. When the iterative error convergence reaches 1×10-8 mm, the iterative convergence speed is doubled. |
| Keywords: peridynamics theory; fiber composites; numerical calculation; program development |
