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DY: Fachverband Dynamik und Statistische Physik

DY 54: Posters - Pattern Formation, Reaction Diffusion, Chimera

DY 54.12: Poster

Donnerstag, 23. März 2017, 17:00–19:30, P1A

Rectangular and branched Wrinkle patterns in inhomogeneous film substrate systems — •A. Zippelius, R. Aichele, M. Hilt, B. Kaoui, F. Ziebert, and W. Zimmermann — Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth, Germany

We study wrinkles on thin hard skins supported by elastic substrates under uniaxial (anisotropic case) and biaxial compression. We use generic models and the full elastic equations for the skin substrate system [1,2]. For homogeneous skin layers the preferred wave-vector of wrinkles points along the major compression direction (anisotropy). As recent experimental studies show [2], a spatial variation of the substrate elasticity (bending elasticity of the skin [3]) perpendicular to the anisotropy triggers branched wrinkle patterns. One observes coexistence of many branched wrinkle patterns of different wavenumbers and branching points densities, which are stable at identical parameters. This corresponds to a generalization of the concept (Eckhaus) stability bands to inhomogeneous systems.

For a spatial variation of the skin elasticity along the preferred (load) direction and with the modulation wavenumber of the order of that of the wrinkles, we predict and characterize rectangular wrinkle patterns.

[1] B. Kaoui, A. Guckenberger, A. P. Krekhov, F. Ziebert and W. Zimmermann, New J. Phys. 17, 103015 (2015); [2] B. A. Glatz, M. Tebbe, B. Kaoui, R. Aichele, C. Kuttner, A. E- Schedl, H. W. Schmidt and W. Zimmermann, A. Fery, Soft Matter 11, 3332 (2015); [3] J. Wang, B. Li, Y.-P. Cao, X.-Q. Feng, H. Gao, Appl. Phys. Lett. 106, 021903 (2016)