A model involving a Volterra kernel is considered for a hereditarily-elastic anisotropic aging two-dimensional body with a straight crack. The asymptotics of the time dependent solution near the crack tips is investigated.
We prove that, depending on the regularity of the material
law and the Volterra kernel, these asymptotics
- either have simple homogeneous behavior of degree 1/2 (in relation with the former results
[1] and [2])
- or have a more complicated dependence on
the distance variable r to the crack tips. In the latter situation,
asymptotics involve a function of log r growing in time, which
requires a modification of usual fracture criteria.
14 December 2004. Preprint IRMAR 04-57. Preprint IECN 59/2004.
M2AN Vol. 40, n° 3 (2006), pp 553-595.
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