Wrinkling instabilities for biologically relevant fiber-reinforced composite materials with a case study of Neo-Hookean/Ogden-Gasser-Holzapfel bilayer.
Wrinkling instabilities for biologically relevant fiber-reinforced composite materials with a case study of Neo-Hookean/Ogden-Gasser-Holzapfel bilayer.
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DOI：
10.1007/s10237-020-01345-0
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发表时间：
2020-12
影响因子：
3.5
通讯作者：
Pocivavsek L
中科院分区：
文献类型：
--
作者：
Nguyen N;Nath N;Deseri L;Tzeng E;Velankar SS;Pocivavsek L
皱纹是许多生物组织中普遍存在的表面现象，并且被认为在动脉健康中起重要作用。由于动脉是高度非线性，各向异性，多层复合材料系统，它是必要的，以研究结合这些材料的特性。几项研究利用非线性各向同性材料关系研究了表面起皱机制。尽管如此，与各向异性本构模型（例如Ogden-Gasser-Holzapfel（OGH））相关的起皱仍然需要研究，该模型适用于软生物组织，特别是动脉。在这里，OGH参数，如纤维的取向，刚度，和分散体的发病的皱纹，皱纹波长和振幅的影响，阐明通过分析的双层系统组成的薄，硬的新胡克膜和软OGH基板进行压缩。采用有限元分析和解析线性摄动法预测了起皱的临界收缩应变。结果表明，除了刚度不匹配，与纤维刚度和分布相关的各向异性特征可以用于自然层状系统中，以调整扭曲和随后的折叠行为。进一步分析的双层系统中的（x-y）平面中的纤维在x方向上受到压缩，显示了一个复杂的依赖性，纤维的角度，刚度和色散的螺旋应变和波长。利用OGH模型的线性化各向异性特性，通过近似捕获这种行为。对这种动脉壁样系统中的螺旋化的理解将有助于确定螺旋化机制在生物动脉中的作用以及其合成对应物的设计。
Wrinkling is a ubiquitous surface phenomenon in many biological tissues and is believed to play an important role in arterial health. As arteries are highly nonlinear, anisotropic, multilayered composite systems, it is necessary to investigate wrinkling incorporating these material characteristics. Several studies have examined surface wrinkling mechanisms with nonlinear isotropic material relationships. Nevertheless, wrinkling associated with anisotropic constitutive models such as Ogden–Gasser–Holzapfel (OGH), which is suitable for soft biological tissues, and in particular arteries, still requires investigation. Here, the effects of OGH parameters such as fibers’ orientation, stiffness, and dispersion on the onset of wrinkling, wrinkle wavelength and amplitude are elucidated through analysis of a bilayer system composed of a thin, stiff neo-Hookean membrane and a soft OGH substrate subjected to compression. Critical contractile strain at which wrinkles occur is predicted using both finite element analysis and analytical linear perturbation approach. Results suggest that besides stiffness mismatch, anisotropic features associated with fiber stiffness and distribution might be used in natural layered systems to adjust wrinkling and subsequent folding behaviors. Further analysis of a bilayer system with fibers in the (x–y) plane subjected to compression in the x direction shows a complex dependence of wrinkling strain and wavelength on fiber angle, stiffness, and dispersion. This behavior is captured by an approximation utilizing the linearized anisotropic properties derived from OGH model. Such understanding of wrinkling in this artery wall-like system will help identify the role of wrinkling mechanisms in biological artery in addition to the design of its synthetic counterparts.
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影响因子：
2
作者：
Holzapfel, GA;Gasser, TC;Ogden, RW
通讯作者：
Ogden, RW
影响因子：
6.7
作者：
Hasan J;Chatterjee K
通讯作者：
Chatterjee K
影响因子：
2.4
作者：
Cerda, E
通讯作者：
Cerda, E
影响因子：
8.6
作者：
Hohlfeld, Evan;Mahadevan, L.
通讯作者：
Mahadevan, L.
荷叶状聚苯乙烯微纳米结构薄膜的制备及其血液相容性
影响因子：
--
作者：
Mao, Chun;Liang, Cunxia;Zhao, Wenbo
通讯作者：
Zhao, Wenbo