表面弹性和表面粘弹性对固体材料中液体夹杂物的影响

IF 1.9 4区材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Modelling and Simulation in Materials Science and Engineering Pub Date : 2024-03-06 DOI:10.1088/1361-651x/ad2c34

Dong Mao, Jiaxi Zhao, Jin He

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引用次数: 0

摘要

本文采用有限元（FE）方法研究了表面弹性和表面粘弹性以及表面张力对含有液体夹杂物的固体变形的影响。表面张力和表面弹性都会使含有液体夹杂物的固体变硬。弹性毛细管数中的表面张力被表面杨氏模量取代，从而定义了第二个弹性毛细管数。夹杂液体的长宽比用于表示这两个数值的增硬效果。纵横比越小，加固效果越大。在典型的 FE 分析中，当任一数值为 1 且施加的应变为 4% 时，由于表面张力，纵横比降低了 7.4%，由于表面弹性，纵横比降低了 2.6%。与表面张力相比，表面弹性对含有液体夹杂物的固体变形的影响相似但较小。通过大量的有限元计算，建立了高宽比与弹性毛细管数、第二弹性毛细管数和外加应变的拟合公式。在 FE 方法中，通过将表面粘弹特性转换为等效壳体的粘弹特性来模拟表面粘弹性。表面粘弹性导致的随时间变化的高宽比被呈现出来，FE 结果显示出与近似理论计算结果相同的趋势。通过 FE 分析获得了所含液体的内部压力，并与采用 Young-Laplace 方程进行的理论估算进行了比较。

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Effects of surface elasticity and surface viscoelasticity on liquid inclusions in solid materials

The effects of surface elasticity and surface viscoelasticity as well as surface tension on the deformation of solids with liquid inclusions are investigated using a finite element (FE) method. Both surface tension and surface elasticity stiffen the solids with liquid inclusions. The surface tension in elastic capillary number is replaced with surface Young’s modulus to define the second elastic capillary number. The aspect ratio of the included liquids is used to indicate the stiffening effect for both numbers. A smaller aspect ratio corresponds to a larger stiffening effect. In a typical FE analysis, when either number is 1 and the applied strain is 4%, the aspect ratio decreases by 7.4% due to surface tension and 2.6% due to surface elasticity. Compared to surface tension, surface elasticity has a similar but smaller influence on the deformation of solids with liquid inclusions. Extensive FE calculations are performed to establish the fitting formula for the aspect ratio as a function of elastic capillary number, the second elastic capillary number, and the applied strain. Surface viscoelasticity is modelled in the FE method by converting surface viscoelastic properties into the viscoelastic properties of the equivalent shell. The time-dependent aspect ratio due to surface viscoelasticity is presented and FE results show the same trend as those calculated from the approximated theory. The internal pressure of the included liquid is obtained from FE analysis and is compared with the theoretical estimation employing the Young–Laplace equation.

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来源期刊

Modelling and Simulation in Materials Science and Engineering 工程技术-材料科学：综合

CiteScore

3.30

自引率

5.60%

发文量

审稿时长

1.7 months

期刊介绍： Serving the multidisciplinary materials community, the journal aims to publish new research work that advances the understanding and prediction of material behaviour at scales from atomistic to macroscopic through modelling and simulation. Subject coverage: Modelling and/or simulation across materials science that emphasizes fundamental materials issues advancing the understanding and prediction of material behaviour. Interdisciplinary research that tackles challenging and complex materials problems where the governing phenomena may span different scales of materials behaviour, with an emphasis on the development of quantitative approaches to explain and predict experimental observations. Material processing that advances the fundamental materials science and engineering underpinning the connection between processing and properties. Covering all classes of materials, and mechanical, microstructural, electronic, chemical, biological, and optical properties.