Assuming the dogs are just walking on Faulkner RV Mat # FR48709 and not intentionally scratching at it the mat will hold up well. Outdoor mats like this are generally more durable than standard indoor rugs and mats.
The material is 1/8 inches thick but if a dog was determined enough it could probably tear it up but the same could be said for any mat I suppose. I have linked a video review for you. view full answer...