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Analysis of Surface Crack Semi-infinite Solid in Rolling Load

Author: YuHuiQin
Tutor: ChenMengCheng
School: East China Jiaotong University
Course: Structural Engineering
Keywords: Half-space elastomer Hypersingular integral equations Finite part integral Boundary Element Method 3D Planar Crack Near the free surface cracks Surface cracks Stress intensity factor Rolling load
CLC: O346.1
Type: Master's thesis
Year: 2004
Downloads: 44
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Abstract


The crack problem is an important research topic in the past three decades , the development of the boundary element method for solving the three-dimensional crack problems in three-dimensional fracture mechanics fracture mechanics . Boundary element method to reduce the dimension of the problem , which greatly reduces the amount of computation , so this method is very effective in dealing with three-dimensional crack problems . According to the characteristics of the boundary element method and the characteristics of the contact problem is known , the boundary element method is more suitable than the finite element method and other numerical methods for solving contact problems . Contact problem has become an important aspect of the application of the boundary element method . The boundary element method to solve the three - dimensional crack problems in the general case , and to calculate the half-space surface cracks under rolling loads . Firstly, on the basis of the existing two-phase material space perturbation of the interface crack stress field formula derived 3D Planar Crack crack surface displacement discontinuity in the half-space elastomer as an unknown quantity by arbitrary loads hypersingular integral equations . If the crack from the free surface of the far distance , the equations can be degraded singular integral equations for the the infinite space elastomer in three-dimensional plain film cracks . Linear model on the basis of the above theory , using the finite part integral with the combination of conventional boundary element method and the displacement ( intermittent ) , will be subject to the normal load 3D Planar Crack hypersingular integral equations discrete algebraic equations group , and which types of singular integral made ​​to deal specifically with its establishment of a numerical method , and give a specific formula . To complete the establishment of hypersingular integral equations, numerical methods , this method is now called the finite part integral - Boundary Element Method . In order to verify the reliability of the method , unlimited space and half-space rectangular , elliptical and semi-elliptical class Planar Crack calculated . In the half-space elastomers are calculated based on the validity of the stress intensity factor , the operator of semi-elliptical surface cracks under rolling loads and rectangular surface crack . Discussed the case in the absence of hydraulic pressure and the presence of fluid pressure respectively . For a / b = 2 class surface crack of semi-elliptical and rectangular surface cracks result is not in the literature , this new result .

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CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Strength theory > Fracture theory
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