Would it be a cubic/quadratic Bezier curve? Or perhaps (part of an) ellipse?
I am a computer science student who is working on a physics engine using realistic materials, meaning I would like for example wood to bend in a realistic manner when pressure is applied to it at a certain point. When I thought I had found that a quadratic Bezier curve resembled part of an ellipse (if |AB| = |BC|, it seems to be part of a circle), I believed I had the answer, however after some checking this appears not to be the case. So with what kind of curve do materials naturally bend?
My apologies if this is an obvious question, or if this question does not fit this stackexchange, as I have little to no background in physics :) (Just high school and game physics.)