The origin of compression influences geometric instabilities in bilayers

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autor(en): Andres S, Steinmann P, Budday S
Zeitschrift: Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences
Jahr der Veröffentlichung: 2018
ISSN: 1364-5021


Abstract








Geometric instabilities in bilayered structures control the surface morphology in a wide range of biological and technical systems. Depending on the application, different mechanisms induce compressive stresses in the bilayer. However, the impact of the chosen origin of compression on the critical conditions, post-buckling evolution and higher-order pattern selection remains insufficiently understood. Here, we conduct a numerical study on a finite element setup and systematically vary well-known factors contributing to pattern selection under the four main origins of compression: film growth, substrate shrinkage and whole-domain compression with and without pre-stretch. We find that the origin of compression determines the substrate stretch state at the primary instability point and thus significantly affects the critical buckling conditions. Similarly, it leads to different post-buckling evolutions and secondary instability patterns when the load further increases. Our results emphasize that future phase diagrams of geometric instabilities should incorporate not only the film thickness but also the origin of compression. Thoroughly understanding the influence of the origin of compression on geometric instabilities is crucial to solve real-life problems such as the engineering of smart surfaces or the diagnosis of neuronal disorders, which typically involve temporally or spatially combined origins of compression.


FAU-Autoren / FAU-Herausgeber

Budday, Silvia Dr.-Ing.
Lehrstuhl für Technische Mechanik
Steinmann, Paul Prof. Dr.-Ing.
Lehrstuhl für Technische Mechanik


Zitierweisen

APA:
Andres, S., Steinmann, P., & Budday, S. (2018). The origin of compression influences geometric instabilities in bilayers. Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences. https://dx.doi.org/10.1098/rspa.2018.0267

MLA:
Andres, Sebastian, Paul Steinmann, and Silvia Budday. "The origin of compression influences geometric instabilities in bilayers." Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences (2018).

BibTeX: 

Zuletzt aktualisiert 2019-04-01 um 21:10