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一种近场动力学方法与有限元方法的混合建模策略
A hybrid modeling strategy combining peridynamics method and finite element method
【摘要】 针对近场动力学方法存在的计算效率问题,提出了一种近场动力学方法与有限元方法的混合建模策略.通过在断裂区域和非断裂区域设置近场域和有限元域,利用交界面单元和虚拟边界层连接近场域和有限元域实现混合建模;构建虚拟边界层作为近场计算域的外边界,传递有限元域形变对近场域的反馈,其位移场信息由有限元计算域更新传递.经过带预制裂纹板拉伸的算例验证,发现混合模型与单一近场动力学方法的计算最大误差为2.6%,但是计算效率提升了24.0%,显示出较好的应用前景.
【Abstract】 Aiming at the computational efficiency issue associated with the peridynamics method,a hybrid modeling strategy that combines the peridynamics method with the finite element method was proposed. By setting up peridynamic domains and finite element domains in the fractured and non-fractured regions,respectively,and utilizing interface elements and virtual boundary layers to connect these domains,the hybrid modeling was realized. The virtual boundary layer,functioning as the peridynamic computational domain’s outer boundary,transmitted deformation feedback from the finite element domain to the peridynamic domain. The displacement field information was updated and transmitted by the finite element computational domain. After validation through tensile testing of a two-dimensional pre-cracked plate,it is found that the maximum calculation error of the hybrid model compared to that of the single peridynamics method is 2.6%,yet its computational efficiency is improved by 24.0%,indicating favorable application prospects.
【Key words】 peridynamics; finite element method; coupling; non-local problem; computational efficiency;
- 【文献出处】 华中科技大学学报(自然科学版) ,Journal of Huazhong University of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2024年12期
- 【分类号】TB115;TB30
- 【下载频次】85