应用数学和力学2026，Vol.47Issue(4)：496-504,9.DOI:10.21656/1000-0887.460228
复分析在三维断裂和接触问题积分计算中的应用
Applications of Complex Analysis in Integral Calculation for 3D Fracture and Contact Problems
摘要
Abstract
Two typical definite integrals are calculated with the method of modern potential theory by virtue of complex analysis.In the context of calculus,the integrals in consideration are difficult to calculate and are usu-ally directly applied as established results in fracture and contact problems.However,they may be expressed explicitly by means of the residue theorem,the infinite arc lemma and the infinitesimal arc lemma in the con-text of complex analysis.This work perfects the theoretical fundamentals of 3D fracture and contact problems,and further demonstrates the intrinsic advantages of complex analysis in calculation of definite integrals.关键词
复分析/现代势理论方法/定积分/断裂/接触Key words
complex analysis/method of modern potential theory/definite integral/fracture/contact分类
数理科学引用本文复制引用
李翔宇,周德龙,袁江宏..复分析在三维断裂和接触问题积分计算中的应用[J].应用数学和力学,2026,47(4):496-504,9.基金项目
中国交通教育研究会交通教育科学研究重点课题(JT2024ZD051) （JT2024ZD051）
四川省研究生教育教学改革重点项目(YJGXM24-B003) （YJGXM24-B003）
四川省高等教育人才培养质量和教学改革重点项目(JG2024-0265) （JG2024-0265）
