Hello fellow Stressers!!!

Just for curiosity.. We know that Force (F)= Stiffness (K) x Displacement (D).

And for a simple bar, the stiffness (K) is given by AE/L.

From the equation as L approaches 0 the stiffness K is going to infinity.

And as the stiffness K is going to infinity the Force (F) is going to infinity.

But I think, the displacement (D) will be very small also, so maybe ultimately the Force (F) will be not going to infinity.

Anyway, is this one case of singularity in FEA? Where at sharp corners, as you increase the mesh density, the mesh length is approaching zero and thereby the stress is not converging and keep on increasing in value as you increase the mesh density.

Just correct me if any wrong mathematical statement I've made.

Cheers!!!