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E6000 is by far the best from what we tested and have used cases of it to glue 1000's of slate, granite, grout pucks, ceramic and saltillo pieces to expanded PVC. It will hold almost anything to anything and has a higher temp level than most. Can withstand up to I think 140 degrees. Does take 24 to 48 hours to totally cure so we built multi level (13 slots high 6 slots wide) drying racks that could be stacked on top of each other when not in use.
Can also be purchased at retail from a True value hardware so they may even be up north of the border.
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I have always put my faith in Silicone. As the wood and stone expands and contracts with heat/cold/moisture, nothing fights with the silicone adh. it allows expansion and contraction. You never know where your work will end up, could eventually be in anything from a frozen cabin, to a hut in the jungle.. If things aren't allowed to move, they will separate on their own..