Integral formulations with special kernels for a composite panel with an elliptical hole or a crack.
Item
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Title
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Integral formulations with special kernels for a composite panel with an elliptical hole or a crack.
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Identifier
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AAI9108126
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identifier
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9108126
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Creator
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Kamel, Michael.
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Contributor
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Adviser: Been-Ming Liaw
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Date
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1990
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Language
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English
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Publisher
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City University of New York.
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Subject
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Engineering, Mechanical
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Abstract
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Complex variable method is used to obtain the fundamental solutions for an infinite anisotropic plate with an elliptical hole. The plate is loaded by an arbitrarily positioned point force and/or concentrated moment. Fracture analysis is performed by setting the length of the minor axis of the ellipse equal to zero so that the elliptical hole is reduced into a crack. Using the principle of superposition, any set of general loadings applied anywhere in the domain can be analyzed with the proposed fundamental solutions. A boundary integral equation approach then is developed incorporating the derived fundamental solutions. This approach is used to determine stress intensity factors for cracks in a linearly elastic, anisotropic plate in the presence of a curvilinear boundary. Among others, the problems of cracks emanating from a curvilinear hole in an anisotropic plate, cracks in anisotropic solid disks, and interaction between a crack and a hole in an anisotropic plate are considered. Numerical results are obtained for various loading conditions in each case and are compared with known solutions where available.;The boundary integral equation developed here extends only over that portion of the boundary not including the surface of the crack, since the boundary conditions on the crack surface have been already incorporated into the fundamental solutions. Thus, excellent accuracy can be obtained and the labor involved in preparing the computer algorithm is minimized as compared with other numerical methods which require to model the crack as part of the boundary. The fundamental solutions obtained here are for a plane, homogeneous, anisotropic body containing a single elliptical hole or a crack. Problems involving more than one hole or crack or more than one material could, in principle, be solved by dividing the region into homogeneous sections, each enclosing only one hole or crack. The continuity conditions are then enforced along the dividing boundaries.;The excellent accuracy obtained for the numerous example problems considered, paves the way for further applications of the proposed fundamental solutions. The possible avenues of future applications are numerous. Of the foreseeable application areas, problems related to laminated anisotropic panels, the study of fracture process zone (FPZ) ahead of a crack-tip in a composite plate, and the analysis of stiffened composite panels containing cracks or holes seem well suited. Many of these possible new applications can be of significant value to the structural analysts.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
