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Width of the semi-infinite crack stitching problems

Author: KangLingLi
Tutor: YangXiaoChun
School: Dalian Maritime University
Course: Operational Research and Cybernetics
Keywords: Semi-infinite crack Stitching problems Elastic material Singular integral equation
CLC: O346.1
Type: Master's thesis
Year: 2010
Downloads: 30
Quote: 3
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Abstract


Fracture mechanics has made in recent years, rapid development , but the research model based mostly not width . 20 In the 1970s, China's famous physicist Mr. Chen Chi blunt crack model first proposed , this model requires starting from the real crack crack problem to discuss . However, due to the theoretical analysis of the problem analytically difficult to break , so far relatively few research scholars . In this paper, is the real crack - crack width model to study the semi-infinite crack width and mechanical analysis of splicing problems and solved numerically using Gauss . This paper begins with a brief account of the development of the theory and research break the status quo and introduces several fracture theory of numerical methods for solving and analytical method, gives the basic equations of plane elasticity problems . Secondly , the establishment of a semi-infinite crack width mathematical model proposed boundary conditions , and establishing boundary conditions on L γ on singular integral equations , the equations of the first classified as γ -type singular integral equations , the equation there exists a unique solution is the use of Gauss-Legendre quadrature formula for discrete equations , solved numerically . Again, a numerical example is given to draw the crack tip stress distribution, the stress intensity factor than in the past criterion more intuitive display cracks and each parameter variation between variables . Finally, the paper summarizes the work and made ??the prospect of future research topics .

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