Surface Wrinkling versus Global Buckling Instabilities in Thin Film-Substrate Systems under Biaxial Loading: Direct 3D Numerical Simulations,Advanced Theory and Simulations

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Surface Wrinkling versus Global Buckling Instabilities in Thin Film-Substrate Systems under Biaxial Loading: Direct 3D Numerical Simulations
Advanced Theory and Simulations ( IF 2.9 ) Pub Date : 2022-06-21 , DOI: 10.1002/adts.202200183
Siavash Nikravesh ₁ , Donghyeon Ryu ₂ , Yu‐Lin Shen ₁

Affiliation

When a thin film bonded to a compliant substrate is subject to in-plane compressive loading, wrinkles on the thin film may form as a consequence of deformation instability. The specimen geometry may also favor global buckling. In this study, a recently developed computational approach is employed to directly simulate 3D wrinkling and buckling from pre-instability to post-instability in a straightforward manner, covering a wide biaxial loading spectrum. The finite element models contain an embedded imperfection with perturbed material properties at the film-substrate interface. This approach is capable of activating the first and subsequent bifurcation modes, along with the deformation patterns in between. It is demonstrated that, in addition to the temporal evolution of wrinkle patterns, surface wrinkling and global buckling can form simultaneously as the substrate becomes thinner. Wrinkles and buckle can either co-develop, or the buckling-induced curvature may help facilitate wrinkle formation depending on the specimen thickness and loading biaxiality. Different wrinkle patterns, such as parallel waveform and checkerboard, can even coexist on the same buckled structure. The state of biaxiality can influence the deformation instability significantly, and each bifurcation point can be traced back to certain abrupt changes in the overall load–displacement response.

中文翻译：

双轴载荷下薄膜基板系统的表面起皱与全局屈曲不稳定性：直接 3D 数值模拟

当粘合到柔顺基板的薄膜受到面内压缩载荷时，由于变形不稳定性，薄膜上可能会形成褶皱。试样几何形状也可能有利于全局屈曲。在这项研究中，采用最近开发的计算方法以直接的方式直接模拟从不稳定前到不稳定后的 3D 起皱和屈曲，涵盖广泛的双轴载荷谱。有限元模型包含嵌入的缺陷，在薄膜-基板界面处具有扰动的材料特性。这种方法能够激活第一个和随后的分叉模式，以及它们之间的变形模式。结果表明，除了皱纹模式的时间演变，随着基材变薄，表面起皱和整体屈曲会同时形成。皱纹和屈曲可以共同发展，或者屈曲引起的曲率可能有助于促进皱纹的形成，具体取决于试样厚度和加载双轴性。不同的皱纹图案，如平行波形和棋盘格，甚至可以共存于同一个带扣结构上。双轴性状态可以显着影响变形不稳定性，并且每个分叉点都可以追溯到整体载荷 - 位移响应的某些突然变化。如平行波形和棋盘格，甚至可以共存于同一个带扣结构上。双轴性状态可以显着影响变形不稳定性，并且每个分叉点都可以追溯到整体载荷 - 位移响应的某些突然变化。如平行波形和棋盘格，甚至可以共存于同一个带扣结构上。双轴性状态可以显着影响变形不稳定性，并且每个分叉点都可以追溯到整体载荷 - 位移响应的某些突然变化。

更新日期：2022-06-21

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