期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 136, 期 -, 页码 1-16出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2018.12.002
关键词
Hyperelastic membranes; Post-buckling; Poisson effect; Restabilization; Finite strain
资金
- National Natural Science Foundation of China [11602058, 11872150, 11772094, 11461161008]
- Shanghai Education Development Foundation (Shanghai Chenguang Program) [16CG01]
- Shanghai Municipal Education Commission (Shanghai Chenguang Program) [16CG01]
- State Key Laboratory for Strength and Vibration of Mechanical Structures [SV2018-KF-17]
- Fudan University
- French National Research Agency ANR (LabEx DAMAS) [ANR-11-LABX-0008-01]
- Fudan Fellowship
Wrinkles are commonly observed in uniaxially stretched rectangular sheets with clamped-clamped boundaries, and can disappear upon excess stretching. Here we explore this wrinkling and restabilization behavior both analytically and numerically. We find that Poisson's ratio plays a crucial role in the wrinkling and restabilization behavior. Smaller Poisson's ratio makes later onset of wrinkling, lower amplitude and earlier disappearance of wrinkles. In particular, when Poisson's ratio is below a threshold, no wrinkles occur, which can be explained by the decreasing transverse compressive stresses with respect to the reducing Poisson's ratio. Furthermore, based on the Koiter stability theory, we have semi-analytically predicted isola-center bifurcation points, through looking into the sign change of the quadratic terms of potential energy. Both theoretical buckling and restabilization points are in agreement with finite element results. Lastly, a 3D phase diagram on stability boundaries is provided and we find that when the aspect ratio is beyond a threshold, wrinkles may not occur in the center but are split into two packets near the stretching ends. (C) 2018 Elsevier Ltd. All rights reserved.
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