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Radius of Rolled-Up Trilayer

​
ε
1
-0.002
ε
2
0
ε
3
0
d
1
[nm]
10
d
2
[nm]
10
d
3
[nm]
0
Y
1
[GPa]
80
Y
2
[GPa]
80
Y
3
[GPa]
80
ν
1
0.3
ν
2
0.3
ν
3
0.3
Using the principle of a bimetal strip on the nanoscale, rolled-up tubes with equilibrium radius
R
can be fabricated by etching the layer below a prestrained multilayer. Here, we use three layers that are stacked on top of one other, with different eigenstrains
ε
i
, thicknesses
d
i
, Young's modulus
Y
i
, and Poisson's ratio
ν
i
. Assuming mechanical equilibrium of bending forces and moments, the equilibrium radius
R
can be determined.
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