Issue34

F. Berto, Frattura ed Integrità Strutturale, 34 (2015) 169-179; DOI: 10.3221/IGF-ESIS.34.18 172   1 1 1 1 1 1 1 1 2 2 1 2 2 1 2 3 4 2 ( , 0) (1 ) ( ) r r K g g g g r r r                                                    (3) When the notch radius  tends to zero, K 1  tends to the mode 1 notch stress intensity factor K 1 defined according to Gross and Mendelson [31]: 1 1 1 0 2 lim r K r        (4) Considering the V-notch with root hole under mode 2 loading, the stress components for the antisymmetric mode result also from Ref. [21]:   2 2 2 2 2 2 2 1 1 2 2 2 21 22 22 2 2 2 2( 1) 2 2 2 2 sin(1 ) ( 1) ( ) ( ) ( ) (1 ) ( ) 2 ( )sin(1 ) 1 (1 ) 2 K r r r r r                                                                                                     (5.1)   2 2 2 2 2 2 2 1 1 2 2 2 21 22 22 2 2 2 2( 1) 2 2 2 2 sin(1 ) (3 ) ( ) ( ) ( ) (1 ) ( ) 2 ( )sin(1 ) 1 (3 ) 2 rr K r r r r r                                                                                                    (5.2)   2 2 2 2 2 2 2 1 1 2 2 2 21 22 21 2 2 2 2( 1) 2 2 2 2 cos(1 ) (1 ) ( ) ( ) ( ) (1 ) ( ) 2 ( )cos(1 ) 1 (1 ) 2 r K r r r r r                                                                                                     (5.3) The parameter  2 is Williams’ [30] mode 2 eigenvalue, which is dependent on the notch opening angle    The generalised mode 2 notch stress intensity factor K 2  can be expressed as follows: 2 2 2 2 1 2 2 2 1 2 2 1 2 3 2 ( , 0) 1 r r r K h h h r r r                                           (6) When the notch root radius tends to zero, K 2  tends to the mode 2 notch stress intensity factor K 2 defined according to the following expression: 2 1 2 0 2 lim r r K r        (7) It is important to underline that the property of K   to converge to the stress intensity factor of the pointed V-notch, K 2 , when the notch root radius tends to zero, is a characteristic of the set of equations provided in Ref. [21] for V-notches with root hole. Other sets of equations [32, 33] applicable to rounded V-notches of different shape do not have this property as discussed in Ref. [34]. In that paper it was also documented the stable trend of the generalized notch stress