I think I've it figured out.
The FE model is fine, more importantly the Westegaard solution here isn't the full picture of what's going on. In fact it's realistically only applicable for r / a < 1x10^-3.
For values of r greater than that, more of the higher order terms of the Williams expansion...
Working from a statement of the complex Airy stress functions, Sih's solution considers an infinite plate with a central crack and to model the single edge notch panel, K has to be specified accordingly.
Therefore theta = 0, it should agree with Westegaard, but won't.
Also, I wouldn't have...
rb1957,
Thanks for the reply.
Displacement BC on the RHS, i.e. U1 = 0.
The mesh is very fine, ~13000 quadratic elements, with 100 elements along a 5mm line from the crack tip.
Surely the Westegaard XX stresses would tend to zero as you move towards the right hand side of the plate?
Also, I...
Hi,
I've been puzzling over this particular problem for quite some time now so it was time to get some opinions!
Problem
Plate, 100 x 100mm, with a 5mm edge crack on one side.
Remote load of 100MPa along the top, fixed BC on the right hand side
Linear elastic, isotropic material
Should be...