A new Fourier-related double scale analysis for wrinkling analysis of thin films on compliant substrates

Huang, Qun; Yang, Jie; Huang, Wei; Liu, Yin; Hu, Heng; Giunta, Gaetano; Belouettar, Salim

doi:10.1016/j.compstruct.2016.10.062

Cited by 18 publications

(1 citation statement)

References 36 publications

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“…Zhang and colleagues 6,7 proposed a membrane model with viable Young's modulus and Poisson's ratio, and then adopted parametric finite element discretization and a smoothing Newton method to obtain a numerical solution. The finite element method 8,9 has been widely adopted; however, its use readily leads to divergent results. Coman and Bassom 10 built a numerical model to establish the nature of localized wrinkling according to Fo¨ppl-von Ka´rma´n nonlinear plate theory; however, the bifurcation theorem was introduced to track the bifurcation path, which is computationally expensive.…”

Section: Introductionmentioning

confidence: 99%

Boundary shape design of planar membrane structures based on an airy stress model

Liu

2020

Advances in Mechanical Engineering

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Maintaining surface accuracy is crucial to realizing the required performance of membrane structure. However, compressive stress inevitably leads to wrinkling, and the accurate analysis of the stresses becomes significant. The present study analyzed membrane structures with discrete loads. First, a simple method was proposed and the stress field was accurately described using an Airy stress model. The first and second principal stresses were obtained, and regions of wrinkling with negative stress were predicted. Second, for a square membrane structure, vertical tensions around the boundary were applied such that in-plane stresses were more evenly distributed. Finally, to reduce the wrinkling areas more effectively, an arc-edge structure was designed by removing some areas of low-stress. Simulation results showed that the in-plane stress field distribution was described accurately and the wrinkling regions were diminished effectively with the proposed method.

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Section: Introductionmentioning

confidence: 99%