Stress Analysis Of Circular Symmetric Passivation Cracks In Circular Materials

Fracture mechanics has been very active in recent years and has made remarkable achievements.In the past,the research of crack has always been simplified into a Griffith crack,but the result is a simplified solution.As Mr Chen has proposed the idea of blunt crack,the simplified solution in the past can not satisfy the needs of people,and it is an inevitable trend to study from the real blunt crack.In this paper,the problem of circular symmetric blunt crack in circular elastic material is proposed,and boundary conditions are proposed according to the model.By using the theory of circular symmetry,the singular integral equation of the whole model is transformed into the singular integral equation of a basic domain.According to the characteristics of the singular integral equation,we select Gauss quadrature formula to carry out its dispersion,simulate by Matlab,and draw the displacement variation of each part of the crack under stress.By changing the variables,the factors that affect the change of crack displacement are studied.In order to get the general conclusions,the problem of blunt crack in the model boundary of circular elastic material with five circular symmetric passivation cracks is also solved.We get the effectiveness of the method and the general rule.In this paper,the problem of four circular symmetric passivating cracks in circular elastic materials are also solved.Compared with the other two models,we need to consider changes intersect the displacement of crack,and there is a boundary condition that can weake the stress distribution of crack.By analyzing,solving and simulating,we get the factors affecting the change of crack displacement.