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Curvature of sheet due to thermal expansion

Physics Asked on March 15, 2021

I have a sheet of aluminum, 1.2m x 2.8m, which will be bonded to PTFE (also 1.2m x 2.8m). The temperature of the laminate will then increase by ΔT. Material properties are:

COEFFICIENT OF THERMAL EXPANSION
Aluminum: 24×10^-6/°C
PTFE: 126×10^-6/°C

YOUNG’S MODULUS
Aluminum:70,000MPa
PTFE: 414MPa

Since the PTFE will expand more than the aluminum, the laminate will begin to curve as it is heated. Assuming it is flat at room temperature, how would I calculate the radius of curvature of the laminate once the material is heated up, as a function of thickness of each material?

Thank you!

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