Weibull Stress Model for Cleavage Fracture Under High-Rate Loading
This paper examines the effects of loading rate on the Weibull stress model for prediction of cleavage fracture in a low-strength, A515-70 pressure vessel steel. Interest focuses on low-to-moderate loading rates (K˙I < 2500 MPa √m s−1 ). Shallow cracked SE(B) specimens were tested at four different loading rates for comparison with previous quasi-static tests on shallow notch SE(B)s and standard C(T)s. To utilize these dynamic experimental data, we assume that the Weibull modulus (m) previously calibrated using quasi-static data remains invariant over the loading rates of interest. The effects of dynamic loading on the Weibull stress model enter through the rate-sensitive material flow properties, the scale parameter (σu ) and the threshold Weibull stress (σw-min ). Rate-sensitive flow properties are modelled using a viscoplastic constitutive model with uniaxial, tension stress–plastic strain curves specified at varying plastic strain rates. The analyses examine dependencies of σw-min and σu on K˙I . Present results indicate that σw-min and σu are weak functions of loading rate K˙I for this pressure vessel steel. However, the predicted cumulative probability for cleavage exhibits a strong sensitivity to σu and, consequently, the dependency of σu on K˙I is sufficient to preclude use of the static σu value for high loading rates.
Fatigue & Fracture of Engineering Materials & Structures
Gao, Xiaosheng; Dodds, Robert H. Jr.; Tregoning, R. L.; and Joyce, James A., "Weibull Stress Model for Cleavage Fracture Under High-Rate Loading" (2001). Mechanical Engineering Faculty Research. 927.