A numerical study of the wrinkling evolution of an elastic film on a viscous layer | |
Jiang, Wei ; Li, Zhiping | |
2009 | |
关键词 | COMPRESSED THIN-FILMS PATTERNS RELAXATION SUBSTRATE KINETICS POLYMER |
英文摘要 | The wrinkling phenomenon of a compressed elastic thin film bonded to a viscous layer is studied. Linear stability analysis (LSA) shows that, for materials with cubic crystalline symmetry, the sign of the degree of elastic anisotropy zeta = ((C(12) + 2C(44))/C(11)) - 1 plays an important role in the anisotropy of the buckling instability of the thin film system. More precisely, the growth rate of the fastest growing wave number, taken as a function of directions, reaches a peak in the < 1 0 0 > directions for zeta > 0 and in the < 1 1 0 > directions for zeta < 0. A highly efficient semi-implicit spectral method is established. The numerical experiments of long time wrinkling evolution processes of a 1 + 2-dimensional system verified the LSA results, successfully simulated anisotropic wrinkling pattern formation and coarsening, produced a power law scaling and reproduced certain featured phenomena observed in physical experiments.; Materials Science, Multidisciplinary; Physics, Applied; SCI(E); EI; 0; ARTICLE; 5; 17 |
语种 | 英语 |
出处 | SCI ; EI |
出版者 | modelling and simulation in materials science and engineering |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/396935] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Jiang, Wei,Li, Zhiping. A numerical study of the wrinkling evolution of an elastic film on a viscous layer. 2009-01-01. |
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