Abstract: | The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture
macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified
δC of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within
the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal
isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational
function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is
used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel
in the form of Rabotnov's fractional-exponential function.
S. P. Timoshenko Institute of Mechanics. National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 35, No. 10, pp. 54–60, October, 1999. |