Abstract
A higher order C(t)-Tz-AT solution is developed for power-law creeping solids on the basis of the C(t)-A2(t) and C(t)-Tz solutions. Validations against comprehensive 3D FE analysis results in specimens with through-thickness, corner, surface and embedded cracks show that the developed C(t)-Tz-AT solution can provide an accurate description of the 3D crack border stress fields in all the simulated conditions. At small-scale and large-scale creep stages, the absolute value of in-plane constraint coefficient AT is within 0.05 in the SECT, CT and SENB specimens, which indicates that the higher order C(t)-Tz-AT solution could degenerate into the C(t)-Tz solution in such high constraint specimens. However, in CCT and part-through cracked specimens, the absolute value of AT may increase remarkably with creep time, and the C(t)-Tz-AT solution is necessary. Based on the numerical results, a set of explicit empirical formulae of Tz are obtained for all the specimens, and the detailed values of AT are listed in Appendix.
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