Failure analysis of a notched laminate through FE approach

•New method for determining interlaminar matrix stress modification coefficient before delamination initiation is proposed.•Delaminated area in any laminated structure is obtained and displayed with no iteration.•Ultimate strength of a laminated structure is assumed when any primary element outside neighborhood of singularity or weak singularity attains an ultimate failure.•Neighborhood sizes of singularity and weak singularity are determined.