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A finite strain model predicts oblique wrinkles in stretched anisotropic films
International Journal of Engineering Science ( IF 5.7 ) Pub Date : 2020-08-02 , DOI: 10.1016/j.ijengsci.2020.103354
Yifan Yang , Chenbo Fu , Fan Xu

Transverse wrinkles commonly occur in a uniaxially tensile elastic membrane and can vanish upon excess stretching. The wrinkling direction is usually perpendicular to the stretching direction under isotropic elasticity. Here, we show that wrinkles are orientable by material anisotropy, such as in fiber-reinforced or fibrous films, and the wrinkling orientation can be tuned by varying the stiffness and direction of fibers. To quantitatively describe large anisotropic deformations and predict morphological evolution, we develop a finite strain model by introducing anisotropic, hyperelastic constitutive law into the geometrically extended Föppl-von Kármán nonlinear plate theory. We find that the shear modulus ratio between fibers and matrix significantly affects the critical buckling threshold, restabilization point and wrinkling amplitude. The shear modulus ratio above a critical value prevents the appearance of wrinkles. Effects of the angle between fibers and stretching direction on the oblique wrinkling orientation are carefully examined. The findings could provide an effective way to design wrinkle-tunable surfaces for fiber-reinforced or biomimetic membranes.



中文翻译:

有限应变模型预测拉伸各向异性薄膜的斜皱纹

横向皱纹通常出现在单轴拉伸弹性膜中,并在过度拉伸时消失。在各向同性弹性下,起皱方向通常垂直于拉伸方向。在这里,我们显示出皱纹可以通过材料各向异性来定向,例如在纤维增强或纤维薄膜中,并且可以通过改变纤维的刚度和方向来调整皱纹的方向。为了定量描述大的各向异性变形并预测形态演化,我们通过将各向异性的超弹性本构定律引入几何扩展的Föppl-vonKármán非线性板理论中来开发有限应变模型。我们发现,纤维与基体之间的剪切模量比显着影响临界屈曲阈值,再稳定点和起皱幅度。高于临界值的剪切模量比可防止皱纹的出现。仔细检查纤维之间的角度和拉伸方向对倾斜起皱方向的影响。这些发现可以为设计纤维增强或仿生膜的皱纹可调表面提供有效的方法。

更新日期:2020-08-02
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