Hi so i've recently learned the SFML graphics library and would like to use or make a non-rigid body 2D physics system to use with it. I have three questions:

The definition of rigid body in Box2d is

A chunk of matter that is so strong that the distance between any two bits of matter on the chunk is completely constant.

And this is exactly what i don't want as i would like to make elastic, deformable, breakable, and re-connection bodies. 1. Are there any simple 2D physics engines, but with these kinds of characteristics out there? preferably free or opensource?

2. If not could i use box2d and work off of it to create it even if it's based on rigid bodies?

3. Finally, if there is a simple physics engine like this, should i go through with the proccess of creating a new one anyway, simply for experience and to enhance physics math knowledge? I feel like it would help if i ever wanted to modify the code of an existing engine, or create a game with really unique physics.

Thanks!