Issue 43

F. Berto et alii, Frattura ed Integrità Strutturale, 43 (2018) 1-32; DOI: 10.3221/IGF-ESIS.43.01 7 The problem considered here, as example, is a finite size plate containing a sharp V-notch, subjected to a remote shear stress. The geometry of the problem is shown in Fig. 5. The V-notch is characterized by a notch opening angle, 2 α and a depth, a. The base and the height of the plate are 2 W and W , respectively, while the plate thickness is 2 t . To observe the dependence of the intensity and singular power of singular modes as a function of the notch angle, a range of finite element models are developed for notch angles of 2 α = 45 o , 60°, 90 o , 102.6 o , 120° and 135°. A typical example of the stress field through the thickness of the plate is shown in Fig. 6 at different distance from the notch tip [94-97]. Figure 5: V-notch in a plane and in a three-dimensional plate. -400 -200 0 200 400 600 800 1000 1200 -20 -15 -10 -5 0 5 10 15 20 r=0.05 mm r=0.1 mm r=0.3 mm r=0.05 mm r=0.1 mm r=0.3 mm 2  =60°  0 =100 MPa  xy (Mode II)  yz (Mode O) Figure 6: Mode II and mode O stress components plotted throughout the plate thickness (along the notch bisector line) at three different distances r from the point of singularity ( r=x ).