Calculation of the Generalized Stress Intensity Factors for a V-notched Anisotropic Body

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dc.contributor.advisor Dr. J. W. Eischen, Committee Member en_US
dc.contributor.advisor Dr. E. C. Klang, Committee Member en_US
dc.contributor.advisor Dr. F. G. Yuan, Committee Chair en_US
dc.contributor.author Shipman, Benjamin Howard en_US
dc.date.accessioned 2010-04-02T18:09:11Z
dc.date.available 2010-04-02T18:09:11Z
dc.date.issued 2002-04-30 en_US
dc.identifier.other etd-04262002-153257 en_US
dc.identifier.uri http://www.lib.ncsu.edu/resolver/1840.16/1962
dc.description.abstract A robust method for calculating a generalized stress intensity factor for a V-notched anisotropic body under symmetric and/or anti-symmetric deformation is derived for plane stress or plane strain. The compact formulation for the generalized stress intensity factors is derived based on Stroh formalism. A path-independent line integral together with an auxiliary field solution, called the interaction M-integral, is utilized to solve for these generalized stress intensity factors. Through numeric evaluation of the interaction M-integral using a finite element solution, the generalized stress intensity factors can be found. These generalized stress intensity factors can be used to predict the failure conditions without the need for a detailed notch-tip field solution. Since the interaction M-integral is path-independent, the calculation can be carried out in the region away from the notch tip where a conventional finite element solution is sufficient to perform this analysis. Numeric results for the generalized stress intensity factors are given for a thin rectangular plate with double edge notches. The specimen geometry used follows that in the ASTM standard D 5379/D 5379M-93 for shear property testing of fiber-reinforced composite materials. The method is first verified for three example problems. Then, the generalized stress intensity factors are given for a wide range of notch depths and angles for isotropic and anisotropic material property cases. Two in-plane fiber orientations of a unidirectional fiber-reinforced graphite/epoxy composite are considered. Two loading cases are given to produce symmetric and anti-symmetric deformation. The generalized stress intensity factor results given here for anti-symmetric deformation are unprecedented. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject anisotropic en_US
dc.subject generalized stress intensity factor en_US
dc.subject singularity en_US
dc.subject Stroh en_US
dc.subject M-integral en_US
dc.subject notch en_US
dc.subject V-notch en_US
dc.title Calculation of the Generalized Stress Intensity Factors for a V-notched Anisotropic Body en_US
dc.degree.name MS en_US
dc.degree.level thesis en_US
dc.degree.discipline Aerospace Engineering en_US


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