I used Model–> Shatter and I want to have the chunks of the mesh all move outward from the center of the mesh.

I also do not want the chunks to scale at all.

Any ideas how to get the pieces to all break outwards?

If you want an outward motion, you just need to apply some outward-facing velocity to the pieces before they feed into DOPs.

If you're trying to get control over a radial distribution of fracture points, you just need to feed some radially-distributed points into the fracture sop.

Here's a hip file to demonstrate both of these, since you didn't post a hip file showing where you're at so far.

Hope this helps!