Stretch-induced wrinkling and post-buckling bifurcation in rectangular films: insights into energy barrier mechanisms

IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL
Xinghan Qiu , Jiaming Guo , Changguo Wang , Huifeng Tan
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引用次数: 0

Abstract

Theoretical understanding is essential for revealing wrinkling mechanisms, characterizing wrinkle behaviors, and guiding the design of thin films. However, existing studies on stretch-induced wrinkling in thin films still exhibit significant limitations in describing non-uniform wrinkle characteristics and post-buckling bifurcation evolution. This paper presents a novel wrinkle bifurcation theory based on energy methods. An energy model for a single wrinkle stripe is first constructed, and the concept of bifurcation points is introduced to describe the onset of wrinkle evolution. Specifically, the theory addresses typical nonuniform and localized instability modes in rectangular thin films under tension. By decomposing the axial boundary conditions and incorporating both mechanical and geometrical properties, this approach accurately captures spatial wrinkle variations and provides a detailed post-buckling bifurcation analysis. The concept of energy barriers, along with the decomposition of total energy into stretching and bending components, is employed to elucidate the evolution mechanism of wrinkle bifurcation throughout the loading process. This study offers valuable insights for the mitigation and control of wrinkles in rectangular thin film structures.
矩形薄膜中拉伸引起的起皱和后屈曲分岔:对能量势垒机制的见解
理论理解对于揭示起皱机理、表征起皱行为和指导薄膜设计至关重要。然而,现有的薄膜拉伸致皱研究在描述非均匀皱化特征和屈曲后分岔演化方面仍然存在明显的局限性。提出了一种新的基于能量方法的皱纹分岔理论。首先建立了单条起皱条纹的能量模型,并引入分岔点的概念来描述起皱演化。具体而言,该理论解决了矩形薄膜在张力作用下的典型非均匀和局部不稳定模式。通过分解轴向边界条件,结合力学和几何特性,该方法可以准确捕获空间褶皱变化,并提供详细的屈曲后分岔分析。利用能量势垒的概念,将总能量分解为拉伸和弯曲分量,阐明了整个加载过程中起皱分叉的演化机制。该研究为矩形薄膜结构中皱纹的缓解和控制提供了有价值的见解。
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来源期刊
International Journal of Mechanical Sciences
International Journal of Mechanical Sciences 工程技术-工程:机械
CiteScore
12.80
自引率
17.80%
发文量
769
审稿时长
19 days
期刊介绍: The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering. The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture). Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content. In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.
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