弹性长条的周期裂缝问题

弹性长条的周期裂缝问题 ON THE FUNDAMENTAL PROBLEMS IN AN INFINITELY LONG ELASTIC STRIP WITH PERIODIC CRACKS 郑可 Zheng Ke 1 2 first-author 武汉大学数学科学学院,武汉 武汉大学数学科学学院,武汉 College of Mathematical Sciences,Wuhan University College of Mathematical Sciences,Wuhan University ,430072 ,430072 讨论了各向同性和各向异性弹性长条的周期裂缝问题，给出了这类问题的正确提法和一般解法．将寻求复应力函数的问题归结为求解某种正则型奇异积分方程，证明了适当且唯一地选择一些待定常数的值后方程是可解的．解虽不唯一但在一条边上仅差一复常数． The fundamental problems in an infinitely long elastic strip with periodic cracks of arbitraryshape both for isotropic and anisotropic materials are discussed. The correct formulation for the problemsare given. The problems are reduced to some singular integral equations of normal type which are proved tobe solvable with undetermined constants suitbly chosen. 弹性长条 周期裂缝 复交方法 奇异积分方程 elastic strip periodic cracks complex variable method singular integral equations O346.1 国家自然科学基金(61672102) 1998-05-01 2021-04-01 5