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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

  • L. V. Stepanova
Article

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.

Key words

transverse shear crack fractional-linear law of steady-state creep stress field near the crack tip asymptotics of strain rates 

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Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Samara State UniversitySamaraRussia

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