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This paper pursues the study of crack kinking from a pre-existing crack emanating from some notch root. It was shown in Part I that the stress intensity factors at the tip of the small initial crack are given by universal (that is, applicable in all situations, whatever the geometry of the body and the loading) formulae; they depend only on the `stress intensity factor of the notch' (the multiplicative coefficient of the singular stress field near the apex of the notch in the absence of the crack), the length of the crack, the aperture angle of the notch and the angle between its bisecting line and the direction of the crack. Here we identify the universal functions of the two angles just mentioned which appear in these formulae, by considering the model problem of an infinite body endowed with a notch with straight boundaries and a straight crack of unit length. The treatment uses Muskhelishvili's complex potentials formalism combined with some conformal mapping. The solution is expressed in the form of an infinite series involving an integral operator, which is evaluated numerically. Application of Goldstein and Salganik's principle of local symmetry then leads to prediction of the kink angle of the crack extension. It is found that although the direction of the crack is closer to that of the bisecting line of the notch after kinking than before it, the kink angle is not large enough for the crack tip to get closer to this line after kinking, except perhaps in some special situations.
In the two-dimensional DIC method, a series of digital images of a deformed object is compared to a digital image of the same object before deformation or the reference image. Using this method, the desired data can be obtained in two stages: recording successive images during the experiment and post-processing the images afterwards using a software package. In the post-processing stage, at first, square subsets or patches are selected from the reference image. To find the displacement vector, a search is performed by the code in a user-specified zone of the deformed image to find the subset with maximum similarity in intensity pattern to the subset׳s signature in the reference image. The difference between the subset location in a post-deformation image and the reference image will be the displacement vector of the subset׳s center which is measured in pixels [3]. In this way, a two-dimensional displacement or strain field is created. In this study, to obtain crack width and strain data, a program called geoPIV, developed by White et al. [4] for monitoring deformations of solids, was employed.
Prior to each test, two digital cameras (Canon EOS Rebel T2i) on tripods were placed at the opposite sides of each beam at the same distance from the beam focusing the central region of one of the shear spans to monitor the shear cracks during the different stages of the each test as can be seen in Fig. 3. 1e1e36bf2d