This subject is very important because evidence of circular cracks is observed experimentally on various macrographs of broken specimens, under fatigue for instance. Our recent work (see below in answers) provides associated physical quantities.
A corresponding work (Anongba, 2021) is intitled ʺ Elliptical crack under general loading: dislocation, crack-tip stress, and crack extension forceʺ. The various physical quantities displayed there depend implicitly on time t through the dependence on time of the circular crack radius R ≡ a0+vt (v and a0 are constants). We take ar = a1 / a2 = 1 where ai are the semiaxes of the elliptical crack; R = a1.
P.N.B. ANONGBA, Elliptical crack under arbitrarily applied loadings: dislocation, crack-tip stress and crack extension force, Rev. Ivoir. Sci. Technol., 38 (2021) 388 – 409; see also, http://dx.doi.org/10.13140/RG.2.2.27048.29446
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