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The Solution Method For Model With Periodic Blunt Edge Crack In Semi-infinite Plane

Posted on:2016-05-27Degree:MasterType:Thesis
Country:ChinaCandidate:J MaFull Text:PDF
GTID:2180330461479690Subject:Mathematics
Abstract/Summary:PDF Full Text Request
In engineering, various crack source is inevitable in the material or building. Therefore, the theory of fracture mechanics is used very widely in the engineering. The theory of fracture is in rapid development. In the multiple crack problems, discuss the interaction problem between the crack occupies an important position in the theory of fracture. Multiple crack problem is discussed based on the theory of blunt crack,undoubtedly is more reasonable and practical.At first, the paper introduced the research background and significance of fracture mechanics,briefly introduces its development course. Secondly, desription of blunt crack and the periodic crack awareness and its development status. The second chapter introduces the related theory of elastic mechanics and related equations. The third chapter puts forward with a periodic blunt edge crack in the semi-infinite plane model, force analysis,given the edge conditions, the problem is transformed into singular integral equations by introducing new function method. The fourth chapter briefly introduces the methods for solving singular integral equations, to solve the singular integral equations by using the numerical integral method. The fifth chapter uses MATLAB to draw the image of the crack tip stress, normal stress at the crack tip,and draw several groups trend chart of effect tip stress factors in different value.Analyze these factors how to impact stress by watch the images,and provide reference for practical engineering.Finally, the conclusions of the paper are summarized, the later work is prospected.
Keywords/Search Tags:Periodicity, Blunt Crack, Elastic Material, Singular integral equation
PDF Full Text Request
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