Loading rate effects on parameters of the Weibull stress model for ferritic steels

Abstract

Abstract This study investigates the effects of loading rate on parameters of the Weibull stress model for prediction of cleavage fracture in a low strength, strongly rate-sensitive A515-70 pressure vessel steel. Based on measured, dynamic fracture toughness data from deep- and shallow-cracked SE(B) specimens, the calibrated Weibull modulus ( m ) at K ˙ I = 22 . 5 MPa m / s shows little difference from the value calibrated previously using static toughness data. This newly obtained result supports the hypothesis in an earlier study [Gao X, Dodds RH, Tregoning RL, Joyce JA. Weibull stress model for cleavage fracture under high-rate loading. Fatigue Fract Engng Mater Struct 2001;24:551–64] that the Weibull modulus likely remains rate independent for this material over the range of low-to-moderate loading rates. Additional experimental and computational results for higher rates show that a constant m -value remains applicable up to the maximum loading rate imposed in the testing program ( K ˙ I ≈ 2200 MPa m / s ) . Rate dependencies of the scale parameter ( σ u ) and the threshold parameter ( σ w-min ) are computed using the calibrated m , and the results indicate that σ u decreases and σ w-min increases with higher loading rates. The predicted cumulative probability for cleavage fracture exhibits a strong sensitivity to small changes in σ u . Consequently, σ u must be calibrated using dynamic fracture toughness data at each loading rate of interest in an application or selected to make the Weibull stress model predict a dynamic master curve of macroscopic toughness for the material.