“…According to the notch stress intensity approach, the weld toe is modelled as a sharp V notch (0 radius), as proposed in the literature in the last 2 decades. [13][14][15][16][17] The mode I and mode II notch stress intensity factors (NSIFs) quantify the magnitude of the asymptotic stress distribution according Nomenclature: a, sharp V notch or crack depth; a 0 , b 0 , molten pool dimensions; c 1 , c 2 , molten pool dimensions; d, adopted average finite element size; f 1 , f 2 , constants for the energy distribution of the heat flux; q, power density of the heating source; r, θ, cylindrical coordinates; t, actual time of welding process simulation; v, welding speed; K I , mode I stress intensity factor; K 1 , mode I notch stress intensity factor; Q, absorbed power; Q*, power input; η, efficiency; λ 1 , first Williams eigenvalue; σ n , nominal stress at the gross section; σ r , σ θ , stress components in a cylindrical frame of reference; σ I,peak , mode I, singular linear elastic peak stress calculated by finite element method at the sharp V-notch tip by means of a given mesh pattern; τ, time at which the heat flux reaches its maximum value; 2α, opening angle of the sharp V notch to the Williams exact solution. 18 In case of weld-like geometries, the NSIFs quantify the intensity of the elastic stress field near the weld toe and the weld root, which take into account the overall joint geometry (both local, ie, the weld shape effect, and global), the absolute dimensions, and the loading condition.…”