The Fracture animation rollout contains parameters which allow you to control how fracture patterns (patterns generated in radial/texmap fracture modes) are animated.
Grow %: controls the growth of a fracture pattern, outwards from the center of a given fracture plane.
Branch offset: controls how much to offset the growth of a given pattern branch, randomly.
Pattern branches are continuous groups of pattern sub-segments. For example, in a radial fracture pattern, each radial line is considered a branch. When “branch offset” is set to a value greater than 0, the growth of each branch will be offset/randomized by the specified amount.
Distance along branch: branches will grow relative to the distance of each sub-segment along the branch.
Distance to center: branches will grow relative to their distance from the center of the fracture pattern.