Equivalent in-plane elastic moduli of honeycomb materials under hypergravity conditions

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2023-11-01 DOI:10.1098/rspa.2023.0638
Lei Wang, Guannan Wang, Chaofeng Lü
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Abstract

Honeycomb materials frequently encounter hypergravity conditions in both aerospace and biological contexts during phases such as launch, reentry or under centrifugal motion. The significant body force engendered by hypergravity induces alterations in the microstructure of honeycomb materials, which in turn, influences their macroscopic mechanical behaviour. Leveraging the stiffness of the beam element as a pivotal variable, we successfully derived the equivalent moduli of the honeycomb material under hypergravity conditions. We further proposed the concept of a ‘hypergravity factor’, elucidating that the density of the base material, the dimensions of honeycomb cells and the magnitude of the hypergravity contribute to amplifying hypergravity effects. The results, numerically validated through finite-element simulations, could be reduced to the case that neglects body force. The critical buckling load of the honeycomb material under hypergravity can be assessed by setting the derived moduli to zero. In the presence of hypergravity, a honeycomb material undergoes a transition into a gradient material along the hypergravity direction, thereby exacerbating anisotropy. This phenomenon is theoretically expected to occur in virtually all porous materials. The analytical framework adopted, which employs beam stiffness as an intermediary variable, facilitates the extension of these results to honeycomb materials which encompass beam elements with functional gradients or varying cross-sectional morphologies.
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超重力条件下蜂窝材料的等效面内弹性模量
蜂窝材料在发射、再入或离心运动等阶段经常遇到航空航天和生物环境中的超重力条件。由超重力产生的巨大体力引起蜂窝材料微观结构的改变,进而影响其宏观力学行为。利用梁单元的刚度作为关键变量,我们成功地推导了蜂窝材料在超重力条件下的等效模量。我们进一步提出了“超重力因子”的概念,阐明了基础材料的密度、蜂窝细胞的尺寸和超重力的大小有助于放大超重力效应。通过有限元模拟对结果进行了数值验证,可以简化为忽略身体力的情况。通过将导出模量设为零,可以确定蜂窝材料在超重力作用下的临界屈曲载荷。在超重力作用下,蜂窝材料沿超重力方向转变为梯度材料,从而加剧了各向异性。理论上,这种现象几乎在所有多孔材料中都会发生。采用梁刚度作为中间变量的分析框架有助于将这些结果扩展到蜂窝材料,蜂窝材料包含具有功能梯度或不同横截面形态的梁单元。
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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