A geometry-dependent generalized shape function for calculation of stress intensity factor for axially cracked thin-walled tubes

Abstract

Geometric shape function, f(a/W), is a correction factor that accounts for finite specimen size in calculation of stress intensity factor (SIF). Pin-loading tension method is suitable for fracture toughness testing of axially cracked thin-walled tubular specimens. But unique expression for f(a/W) of such specimens does not exist as it is sensitive to tube geometry. In this work, a generalized form of geometric shape function has been derived through a detailed finite element analysis and the outcome is validated with actual experimental results. Using the general shape function, SIF for any axially cracked thin-walled tube having dimensions within the range can be predicted.

Determination of the fracture toughness of a 9Cr ODS steel fuel cladding using the pin loading Tension test

“…According to equations ( 2) and ( 3), the geometric function 𝑓(𝑎 𝑊 ⁄ ) is needed to evaluate the stress intensity factor 𝐾 𝐼 and deduce 𝐽 𝑒𝑙 . In case of the PLT specimen, Grigoriev et al [5], Sanyal and Samal [28], Alvares Holston et al [29], and Nitu et al [10] proposed geometry-dependent functions for their PLT specimens. The 𝑓(𝑎/𝑊) functions proposed by these authors are applicable to their specific specimen geometry.…”