复分析在三维断裂和接触问题积分计算中的应用OA

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.