Universal hybrid method and approximate closed-form solution for V-notched and V-notch-cracked plate under tensile and in-plane bending

•A universal closed-form NSIF and SIF formula with high accuracy and applicability.•NSIF results verified for a V-notched rectangular strip under tension and bending.•Numerical results verified for a crack at the apex of a V-notched half plane.•Reliable FE mesh model for various crack propagation applications.•Numerical data conversion between the finite and half planes.