Bernd Schmidt- Effective theories and energy minimizing configurations for heterogeneous multilayers
Автор: Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Загружено: 2019-11-23
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This talk was part of the Workshop “Modeling of Crystalline Interfaces and Thin Film Structures: A Joint Mathematics-Physics Symposium” held November 11 - 15, 2019 at the ESI.
We will report on recent advances in deriving effective theories for thin sheets consisting of multiple layers with (slightly) mismatching equilibria, see [1,2]. 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 Karman and linearized von Karman functionals with a spontaneous curvature term. We will also investigate optimal energy configurations and find that the von Karman scaling is critical for their generic shape.
References
[1] M. de Benito Delgado, B. Schmidt, A hierarchy of multilayered plate models. arXiv:1905.11292
(2019).
[2] M. de Benito Delgado, B. Schmidt, Energy minimizing configurations of pre-strained multilayers. arXiv:1907.00447
(2019).
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