“…Many models have been developed to evaluate the failure stress of pipelines containing surface and throughwall cracks, for example, the well-known Battelle (i.e. Ln-Sec) model [40] and modified Battelle model [38,39], CorLAS model [34,55], PAFFC [45], PRCI MAT-8 [4,5], and failure assessment diagram-based approaches recommended in API 579 [3], BS 7910 [10] and R6 [24]. However, the employment of these models in Shannon's approach to separate failure modes has, to our best knowledge, not been reported in the literature.…”