Steel lined wood fired oven

Re: steel template inside liner

I'm making an oven with a 2:1 elliptical 1/4" thick steel dome. I want to lay brick around that using it for template and support, and then blanket insulation, and then chicken wire and concrete cladding, and then a sheet metal outer shell for weatherproofing. The inside is 42" dia. It will sit on a 3" steel reinforced concrete slab with 2" of refractory concrete on that, and then 4 1/2" X 2 1/2" X 9" firebrick on edge for the floor.
What about the disparity in expansion rates between the steel liner and the masonry surrounding it. I'm thinking about avoiding something catastrophic (late at night, always). Any concerns there?
Jim