Abstract: |
We will report on recent advances in deriving effective theories for thin sheets consisting of multiple layers with (slightly) mismatching equilibria. While the regime of finite bending energy is well understood by now, the talk will focus on energy scaling regimes beyond Kirchhoff`s theory leading to linearized Kirchhoff, von K{\`a}rm{\`a}n and linearized von K{\`a}rm{\`a}n functionals with a spontaneous curvature term. We will also investigate optimal energy configurations and find that the von K{\`a}rm{\`a}n scaling is critical for their generic shape. |
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