Question: Consider a thin film attached to a thick substrate, shown in the following figure. We know E f = 1 0 GPa, E s =

Consider a thin film attached to a thick substrate, shown in the following figure. We know

E_{f} = 10

GPa,

E_{s} = 10

MPa and

t_{f} = 1 m, t_{s} = 400 m .

The film and substrate have different thermal expansion coefficient, which leads to a bending deformation at a given temperature. Please answer the following questions.

.

Compute the ratio between the film stress and the maximum stress inside the substrate.

.

If we know the bending radius

R

16 m m,

compute the film stress.

Consider a thin film attached to a thick substrate, shown in

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