I am working on anisotropic elasticity problem and I have calculated the static fullspace anisotropic fundamental solutions.
But when I substitute isotropic material properties in the formulae it doesn't give the result from the isotropic fundamental solution (Kelvin's solution for homogeneous elastic space). More precisely the displacement kernel is almost the same except U11 which is far away from the isotropic U11 solution.
So my question is if this is normal deviation from the isotropic fundamental solution or I certainly did some mistake?
And if this deviation is normal why it is so?
Isotropic case is a special case of anisotropic case. Therefore inserting isotropic properties into more general model should always result in isotropic one. You can see it for other displacement components. Therefore, it is almost certain that you have some mistake in your formulation (in the formula that leads to U11), especially if the sign change exists only for this particular component and the remaining have consistent signs.
I am afraid that you made a mistake; Pawel J. Matuszyk argument is right.
I knew it should be that way and I found the right formula for the fundamental solution, just added one more term. Everything is fine now, the only problem is that everywhere in the literature the fundamental solution given is without that term of mine. So at the end I succeeded in finding fundamental solution compliant with the isotropic case, but it differs with that in the literature with the additional term I added.
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