几何不相容性调节了生长球形软组织的模式选择和形态演化

IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL
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引用次数: 0

摘要

在自然系统中广泛观察到的表面形态模式与重要的生物功能密切相关,并为软物质系统的表面形态设计提供了灵感。不同长度尺度的生物组织中广泛存在几何不相容性,在软组织的生长诱导模式选择和形态演化中发挥着重要作用。然而,在几何不相容的球形软组织中,生长诱导的图案形成和屈曲后演化的基本物理机制仍然难以捉摸。本文通过膨胀实验、理论分析和数值模拟,研究了几何不相容对生长诱导模式选择和后屈曲演化的影响。结果表明,通过调节几何不相容性不仅可以调节不稳定模式,还可以调节不稳定阈值。值得注意的是,当几何不相容性参数超过临界值时,会出现生长前的自发不稳定性。随着持续增长,核壳软球扣成周期性的扣球图案,并向豆形图案演变,然后经历从皱褶到折叠的转变,形成迷宫形地貌。我们的研究结果从实验和理论两方面证明,几何不相容性能有效地引导生长诱导的图案形成和形态演化。这项研究不仅加深了我们对球形软组织中生长诱导的图案选择和形态演变的理解,还为在曲面上制造形态图案提供了启发。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Geometrical incompatibility regulated pattern selection and morphological evolution in growing spherical soft tissues

Geometrical incompatibility regulated pattern selection and morphological evolution in growing spherical soft tissues

Surface morphological patterns are widely observed in natural systems, which are closely correlated to vital biological functions and inspire surface morphology designs in soft matter systems. Geometrical incompatibility widely exists in biological tissues across different length scales and plays an important role in growth-induced pattern selection and morphological evolution of soft tissues. However, the underlying physical mechanism of growth-induced pattern formation and post-buckling evolution in geometrically incompatible spherical soft tissues remain elusive. Here, the effect of geometrical incompatibility on the growth-induced pattern selection and post-buckling evolution are investigated through swelling experiment, theoretical analysis and numerical simulation. The results show that not only the instability pattern but also the instability threshold can be regulated by manipulating geometric incompatibility. Notably, when the geometrical incompatibility parameter exceeds a critical value, spontaneous instability is observed before growth. With continuous growth, the core–shell soft sphere buckles into a periodic buckyball pattern and evolves toward a bean-shaped pattern, and then undergoes a wrinkle-to-fold transition into a labyrinth topography. Our results demonstrate, both experimentally and theoretically, that geometrical incompatibility can guide the growth-induced pattern formation and morphological evolution effectively. This study not only enhances our understanding of the growth-induced pattern selection and morphological evolution in spherical soft tissues, but also provides an inspiring insight for the fabrication of morphological patterns on curved surfaces.

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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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