i have a simple triangle mesh which i want to explode. so i am looking for an algorithm that makes every triangle to move outwards from the centerpoint. is there already something premade like this?
Look into particle physics. Each vertex would be set up as one particle per triangle it is a part of and each would be pushed away from the explosion point using whatever force you want. To keep the triangles from warping as the particles move, add stick constraints for each edge (they're described in the article linked above). When the constraints are resolved, it will modify the particle movement and cause the triangles to move independently, flipping and rotating as they go.