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A macroscopic stationary crack in viscoplastic materials is considered under mode I creep loading conditions. Typical representations of constitutive laws with internal variables (back stress) which can be derived from a scalar potential function are used to model the inelastic material behaviour. In the limit of high stresses, the constitutive equations adopt the form of Norton's law thus leading to a singular field of the HRR-type at the crack tip. The amplitude of the crack tip field includes additional domain integrals, which ensure the independence of the choice of the integration contour and the area enclosed around the crack tip in the regions where primary creep and linear elastic effects cannot be neglected.

Additional information

Authors: STAMM H, JRC Ispra (IT);WALZ G, University of Karlsruhe, Institute for Reliability and Failure Analysis in Engineering (DE)
Bibliographic Reference: Article: International Journal of Fracture, Vol. 64 (1993) pp. 135-155
Record Number: 199410572 / Last updated on: 1994-11-28
Original language: en
Available languages: en