Width Of The Semi-infinite Crack Splicing Problem

Recently the Fracture Mechanics theory gains development. While despite of the decoration it bring us most of researches concentrate on non-width crack.1970s Mr Chi Chen,an outstanding Chinese physicist firstly introduced the blunt crack as the starting point.However for the great difficulties and obstacles in the process of pursuing the answer to this question.Less professors tend to specialize in this filed.This paper adopts the real crack as the mode,mainly discusses the splicing problem of width of the semi-infinite crack.And importantly,Gauss numerical way would devote to work out the result.Firstly the paper will present a brief introduction of the development of and its present researching conditin and additional list several appoaches of numerical and analytical for working out the result of Fracture Mechanics theory and some equations of plane elasticity. Secondly the paper contributes to construct the mode of the semi-infinite crack with width,bring forward boundary conditions and build the singlar integral equation which rightly to the boundary conditions.Furtherly,changes the equation into singlar integral equation of the first type,Gauss-Legendre's quadrature formula help to discrete the equation.Thirdly the paper will offer some numerical examples,draw the figure of plane stress of crack.lt reflect intuitively regular patterns between crack and parameters.Lastly,this paper makes a rough conclusion the precious research in the aim of being a better decoration to the further related researches.