Why do you think the tarp ripped? Cheap tarp? Grommets? Are grommets less strong than the sewn in tie out loops on the high quality tarps sold by the vendors who are well known here?
If it was the grommets, could that be overcome by wrapping the tarp around a smooth stone ( or whatever suitable might be available) and cinching the tie out cords around the fabric bulge or "knot" that results?