Transition behavior of buckling modes on a sphere
LIChao\|Rong1,CAO Ze\|Xian2CHEN Xi3
(1 Department of Physics, Center for Optoelectronic Materials and Devices and Key Laboratory of Advanced Textile Materials & Manufacturing Technology Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, China)
(2 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China)
(3 Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY 10027-6699, USA)
AbstractFeasibility of manipulating the thin film buckling patterns is investigated by changing the substrate curvature and the stress developed upon cooling. The numerical and experimental studies are based on the spherical SiO2 film/Ag substrate system. It is found that for a substrate with a relatively large curvature, the triangularly distributed dent\|like buckling pattern forms when the nominal stress is just above a critical value. With increasing film stress and/or substrate radius, the labyrinth\|like buckling patterns take over. Bothe the buckling wavelength and the critical buckling stress become larger with increasing substrate radius. Researches along this line are helpful to the understanding of the formation and evolution of many natural patterns including the phyllotactic arrangements and wrinkles. ......