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具有圆柱形核壳结构的可食用软物质干燥过程中的屈曲现象。

Buckling during drying of edible soft matter with cylindrical core-shell geometry.

作者信息

van der Sman R G M, Curatolo Michele, Teresi Luciano

机构信息

Wageningen Food & Biobased Research, The Netherlands.

Food Process Engineering, Wageningen University & Research, The Netherlands.

出版信息

Curr Res Food Sci. 2025 May 27;10:101074. doi: 10.1016/j.crfs.2025.101074. eCollection 2025.

Abstract

This paper investigates the large deformation during the drying of cylindrical core-shell geometries, having a stiff skin and a soft core of gel-like material, representing food materials like fruits or vegetables. This particular geometry is inspired by our earlier study on the drying of broccoli stalks. The MRI imaging of broccoli drying had shown non-affine large deformations, which were explained by the presence of an elastic skin. We solve this multiphysics problem with COMSOL, where the mass transfer of water is strongly coupled to the momentum equation and the energy equation. The core-shell geometry necessitates a multi-domain formalism, which we have developed in another recent study. Computer simulations show that the cylindrical core-shell system undergoes circumferential buckling if a critical buckling stress is imposed on the interface between core and shell. This critical stress depends on the ratio of shell thickness over total diameter , and the ratio of elastic moduli of core and shell . The number of buckling modes is largely determined by the geometric ratio , but it is also slightly dependent on . For relatively thick shells we also observe vertical buckling, next to circumferential buckling. The vertical buckling first shows a barrelling instability, which later transitions to snap-back buckling. These modes of vertical buckling bear large similarities with those observed via MRI imaging during broccoli drying. As a final note, we have remarked that the presented model is a good starting point for modelling shape morphing of 4D printed foods, which is also governed by buckling instabilities as observed during our simulations.

摘要

本文研究了圆柱形核壳结构在干燥过程中的大变形情况,该结构具有坚硬的外皮和凝胶状材料的柔软内核,代表水果或蔬菜等食品材料。这种特殊的几何结构灵感来源于我们早期对西兰花茎干燥的研究。西兰花干燥的磁共振成像显示了非仿射大变形,这可以通过弹性外皮的存在来解释。我们使用COMSOL解决这个多物理场问题,其中水的传质与动量方程和能量方程紧密耦合。核壳几何结构需要一种多域形式,这是我们在最近的另一项研究中开发的。计算机模拟表明,如果在核与壳的界面上施加临界屈曲应力,圆柱形核壳系统会发生周向屈曲。这个临界应力取决于壳厚度与总直径的比值 ,以及核与壳的弹性模量之比 。屈曲模式的数量在很大程度上由几何比值 决定,但也略微依赖于 。对于相对较厚的壳,除了周向屈曲外,我们还观察到垂直屈曲。垂直屈曲首先表现出鼓胀不稳定性,随后转变为回跳屈曲。这些垂直屈曲模式与西兰花干燥过程中通过磁共振成像观察到的模式有很大相似性。最后,我们指出所提出的模型是对4D打印食品形状变形建模的一个良好起点,4D打印食品的形状变形在我们的模拟中也受屈曲不稳定性的控制。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/881a/12167106/d1d15024ad31/ga1.jpg

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