The solution will be related to the side force exerted by the cutter in order to cut the material being low enough not to buckle the sharp edge.
Do the materials science to calculate that and talk to cutting tool suppliers to identify the required product.
If I had worked out the solution to this and was using it commercially I wouldn't share it, I have solutions for several frequently asked questions on machining forum sites (but not this one), because I spent time and effort developing and working them out and because they now they give me a commercial advantage in manufacturing some products, I don't share them.
Ask if they will sell you the solution ;-)