应用数学和力学2025，Vol.46Issue(10)：1285-1294,10.DOI:10.21656/1000-0887.460165
任意多边形杂交应力有限元在工程中的应用
Engineering Applications of the Arbitrary Polygon Hybrid Stress Finite Element Method
摘要
Abstract
With the continuous expansion and increasing complexity of major engineering projects in China,the safety analysis of engineering structures has been increasingly dependent on numerical methods.Traditional fi-nite element methods have certain limitations in complex geometries,such as strong mesh dependency and low calculation efficiency.The polygonal hybrid stress finite element method(PHSEM),based on the principle of minimum complementary energy and the introduced higher-order stress fields,is capable of accurately captu-ring stress distributions with fewer elements while improving calculation efficiency.A multi-material slope mod-el considering gravity was established for the left-bank accumulation slope at the Xiluodu Hydropower Station,to verify the applicability and effectiveness of the PHSEM under complex geological conditions.Four representa-tive slope cross sections were selected for stress and strain calculations,and both stress and strain contours were utilized to visually reveal the differences in force distributions and potentially dangerous zones for different sections.The results demonstrate that,the PHSEM can effectively reflect the distribution patterns of slope stresses and strains,providing a reliable basis for the slope stability evaluation,the retaining structure design,and the engineering treatment schemes.Furthermore,the findings highlight the potential of the PHSEM in ana-lyzing complex slopes and large-scale engineering structures,offering valuable references for future numerical simulations and safety assessments of similar major projects.关键词
任意多边形/杂交应力有限元/数值模拟/高阶应力场/工程应用Key words
arbitrary polygon/hybrid stress finite element/numerical simulation/high-order stress field/engi-neering application分类
数理科学引用本文复制引用
唐黎,方博昊,郭然..任意多边形杂交应力有限元在工程中的应用[J].应用数学和力学,2025,46(10):1285-1294,10.基金项目
国家重点研发计划项目(2024YFC3809503) 本文作者衷心感谢中国长江电力股份有限公司项目(4123020016)对本文的资助. （2024YFC3809503）
