Minimal energy configurations of strained multi-layers
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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.
KeywordsPlate theory Geometry of Energy minimizers Nanoscrolls
Mathematics Subject Classification (2000)49J45 74K20 74G65
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- 7.Schmidt B.(2006). Effective theories for thin elastic films. PhD thesis, University of Leipzig, LeipzigGoogle Scholar
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