A note on stress intensity factors for a crack emanating from a sharp V-notch

A concise and precise formula for mode-I stress intensity factor of a short crack emanating from the bisector of a V-notch has been derived by Philipps et al. The crack tip stress intensity factor is directly evaluated via the mode-I generalized stress intensity factor of an uncracked notch. This note further supplements an accurate formula to calculate mode-III stress intensity factor for a short crack emanating from a V-notch.