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Anisotropy And Orthotropic Double Material â…  Interface Crack Stress Analysis

Posted on:2014-01-07Degree:MasterType:Thesis
Country:ChinaCandidate:Y LiuFull Text:PDF
GTID:2240330395491660Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
With the development of the times, the requirements of modern science andtechnology of materials are more and more high. Because of its uniqueadvantages, composite materials occupy a very large component in theproduction and life. With the in-depth study of the composite material, the studyof interface mechanics double material fracture is more accurately, the commonstudy method included the complex variable function method, boundary elementmethod and integral transform method. Composite type is very heterogeneousand complex. According to the mechanical properties, Composite materials ingeneral can be divided into isotropic composites, orthotropic compositematerials and anisotropic composite materials. In the studies of three differenttypes of composite geminate double material, the research about the isotropicbi-material, orthotropic double material and isotropic and orthotropic doublematerial has been very mature, but the research about anisotropy compositematerials is rare.This paper studies the interfacial crack tip stress field and displacement fieldof anisotropic and orthotropic double material. Theâ… type of interface crackwere divided into4kinds of situations: A\B\C\D, This paper only discusses Aand B. Through establishment of complex variable function in the complexplane, stress problem of biomaterial interface transformed into the solution ofpartial differential equation boundary value problem. Based on the structuralcombination of the stress function and applied the boundary conditions, we get aeight order homogeneous equations. solving this equation and Combined withthe corresponding mechanics model, we get the interfacial crack tip stress fieldand displacement field of A and B. As a test, when the angle between thexaxisand the anisotropic materials the fiber direction is0, Anisotropic materialschange into orthotropic material, the result is the same as the reference whichverify the correctness of results in this paper.
Keywords/Search Tags:anisotropic and orthotropic, interface crack tip of type â… , stressfield and displacement field, complex function
PDF Full Text Request
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