Minimal energy configurations of strained multi-layers |
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Authors: | Bernd Schmidt |
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Institution: | (1) Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22, 04103 Leipzig, Germany |
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Abstract: | We derive an effective plate theory for internally stressed thin elastic layers as are used, e.g., in the fabrication of nano-
and microscrolls. The shape of the energy minimizers of the effective energy functional is investigated without a priori assumptions
on the geometry. For configurations in two dimensions (corresponding to Euler-Bernoulli theory) we also take into account
a non-interpenetration condition for films of small but non-vanishing thickness.
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Keywords: | Plate theory Geometry of Energy minimizers Nanoscrolls |
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