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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Schmidt, B. Minimal energy configurations of strained multi-layers. Calc. Var. 30, 477–497 (2007). https://doi.org/10.1007/s00526-007-0099-4
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DOI: https://doi.org/10.1007/s00526-007-0099-4