The Complex Variable Method For Crack Detection

This paper deals with the application of analytic function boundary value problem in elastic plane crack detection.In chapter 1,The theory of how the stress theory of elastic plane is transformed into the boundary value problem of analytic function is described;In chapter 2,The stress theory of elastic plane,the theory of complex stress function and the extension of boundary value problem of analytic function are studied emphatically;In addition,the application analysis is given,and the stress of linear crack of known length on the unit disc is analyzed emphatically analysis.By the crack in an elastic plane and the stress function,it can be proved the characteristics of singular integral equation.The stress and strain state of the elastic body crack can be obtained from the internal crack stress function of the elastomer satisfying the singular integral property.In chapter 3,the previous theoretical proof that the stress function satisfies the singular integral equation theory,finally gives the position of the two ends of the crack.