岩土力学2025，Vol.46Issue(5)：1605-1619,1631,16.DOI:10.16285/j.rsm.2024.0997
基于混合有限元的显式时域完美匹配层研究
Explicit time-domain perfectly matched layers base on mixed finite element method
摘要
Abstract
To address the challenge of absorbing outgoing waves in geotechnical dynamic analysis,an explicit mixed finite element time-domain perfectly matched layer(PML)based on the central difference integration scheme is proposed.The two-dimensional and three-dimensional semi-discrete finite element equations suitable for explicit integration were derived.A two-dimensional stress-displacement mixed element Q4/4 and a three-dimensional stress-displacement mixed element HEX8/8 were developed for spatial discretization.An extended central difference explicit integration scheme was proposed to solve the third-order dynamic equations arising from the three-dimensional PML formulation.The implementation was carried out in ABAQUS/Explicit,and several numerical experiments were conducted to analyze the absorption performance of the artificial boundary under varying conditions,including soil types,wave types,wave frequencies,and boundary thickness.The results indicate that the PML achieves conditional convergence under all computational conditions.When the PML thickness exceeds 10 elements,the normalized root mean square deviation between the truncated and enlarged model responses is less than 2％.The proposed integration scheme and numerical implementation exhibit good stability and computational accuracy.For different soil types,the PML demonstrates excellent absorption performance for outgoing waves of various types and frequencies.The research findings have broad applications in the geotechnical dynamic analysis.关键词
人工边界/完美匹配层/混合有限元/ABAQUS/弹性波/VUELKey words
artificial boundary/perfectly matched layer/mixed finite element/ABAQUS/elastic waves/VUEL分类
交通工程引用本文复制引用
周鹏发,申玉生,高登,张熙,黄海峰,高波..基于混合有限元的显式时域完美匹配层研究[J].岩土力学,2025,46(5):1605-1619,1631,16.基金项目
国家自然科学基金项目(No.52278414).This work was supported by the National Natural Science Foundation of China(52278414). （No.52278414）
