S57... Seriously, there is probably not enough information in this issue/question for us to help You.
Secondary structure... what is the Joint configuration? Fasteners?
WHY does the secondary structure have-to-be aluminum-to-graphite? Titanium or even a composite panel [S-glass/epoxy] to carbon-epoxy seems more balanced.
What is the isolation interface between carbon [graphite] and aluminum... corrosion potential is gorilla-in-the-closet!
Real-world thermal design range? Example: -65F to 250F... or....??
I expect that 7xxx alloys are unsuitable much above 225F; 2024-T81 would be unsuitable above ~300F; and only 2219-T6 would be suitable from 325F to [maybe] 375F or 400F [short exposure]. IF temp range is really high... then only special corrosion protective primer-hybrid-blends will survive-long-term above 350F.
Is the problem with high thermal-induced stress [a] axial or biaxial in the aluminum? IF the aluminum part had built-in expansion 'wrinkles'... or keyhole slots [long-thin slots with a large diameter hole at the end/base of each slot]… with fasteners installed thru the edge 'ands' or 'flat-lands' into the composite... MIGHT be a way to relieve/soften stresses in the aluminum fastening along the composite edge. expansion contraction would then be a long-term issue.
Regards, Wil Taylor
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