Abstract
An approximate solution of the problem of determining the fields of stresses and strain rates due to creep near the tip of a transverse shear crack in a material whose behavior is described by a fractional-linear law of the theory of steady-state creep is given. It is shown that the strain rates have a singularity of the type \( \dot \varepsilon \) ∼ r−α near the crack tip; the order of singularity α changes discretely, depending on the polar angle, and takes the values 1, 2/3, and 1/2.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 1, pp. 165–176, January–February, 2009.
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Stepanova, L.V. Asymptotics of stresses and strain rates near the tip of a transverse shear crack in a material whose behavior is described by a fractional-linear law. J Appl Mech Tech Phy 50, 137–146 (2009). https://doi.org/10.1007/s10808-009-0019-9
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DOI: https://doi.org/10.1007/s10808-009-0019-9