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

anisotropic;generalized stress intensity factor;singularity;Stroh;M-integral;notch;V-notch

Shipman, Benjamin Howard ; Dr. J. W. Eischen, Committee Member,Dr. E. C. Klang, Committee Member,Dr. F. G. Yuan, Committee Chair,Shipman, Benjamin Howard ; Dr. J. W. Eischen ; Committee Member ; Dr. E. C. Klang ; Committee Member ; Dr. F. G. Yuan ; Committee Chair

University:North Carolina State University

关键词: anisotropic;    generalized stress intensity factor;    singularity;    Stroh;    M-integral;    notch;    V-notch;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/1962/etd.pdf?sequence=1&isAllowed=y

美国|英语

来源: null

【 摘 要 】

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 generalizedstress intensity factor results given here for anti-symmetric deformation are unprecedented.