heal.abstract |
Thin plates made of Perspex and containing a long transverse internal crack, side-branched at one of its ends, were subjected to tension at infinity. The thickness variation of the plates was depicted by the reflected shadow method. According to this method the absolute retardations of the light rays impinging normally on the plates were partly reflected on their front and rear faces, while they were refracted during their passage through the plate thickness. The emerging light was deviated because of the thickness variation and the refractive index variation of the plate when loaded. These rays, received on a screen placed at a distance from the plate, were concentrated along an envelope, which was strongly illuminated, and formed a caustic. The size of the caustic is directly related to the complex stress intensity factor K* at the crack-tip. A series of cracked plates were studied, where the sidebranch subtended different angles to the main-branch, while the ratio of the lengths of the two branches varied between certain limits. The size and the angular displacement of the caustics formed at each tip of branches were compared with the size of the caustic formed at the single tip at the other extremity of the crack, which was used as a reference. In this way, the influence of the angle between branches, as well as of the relative velocities of the branches, which were represented by their different lengths, on the stress-intensity factors of the crack was studied, and important features related to the branching of running cracks in brittle materials were disclosed. © 1972. |
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