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 |
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Authors: | L V Stepanova |
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Institution: | (1) Samara State University, Samara, 443011, Russia |
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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
∼ 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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Keywords: | transverse shear crack fractional-linear law of steady-state creep stress field near the crack tip asymptotics of strain rates |
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