How can I make a section of turf in my concrete yard for my dogs?

My very small backyard is entirely concrete. I have 2 dogs (a corgi and a yorkie) and I'd like to put in a section of artificial turf for them. Since I don't really have DIY skills, I was thinking of buying a children's wooden sandbox, layering gravel, sand and the dog safe turf on top. Has anyone tried this before on concrete? Any suggestions?
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