Minimal energy configurations of strained multi-layers
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Submission date: 28. Nov. 2005
published in: Calculus of variations and partial differential equations, 30 (2007) 4, p. 477-497
DOI number (of the published article): 10.1007/s00526-007-0099-4
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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.