Nonlinear elastic metafoundation as a model for adhesive micropatterned elastic interfaces

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2024-12-25 DOI:10.1016/j.ijengsci.2024.104211

Ivan Argatov

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引用次数: 0

Abstract

A hierarchical asymptotic modeling approach is applied to solve unilateral contact problems for vibroadhesive micropatterned elastic interfaces. The deformation model for individual micropillars accounts for contributions from both local (Hertzian contact) and global (elastic rod with variable cross-section) deformations. The deformation model of substrate (elastic half-space), on top of which the micropatterned interface is attached, is constructed using the Kachanov method for describing the elastic interaction between the pillar bases. The generalized JKR-type rate-dependent adhesion is assumed for characterizing the contact interface between the micropillars and a rigid punch (external indenting body), which is taken to be spherical in the considered specific cases. In the spirit of the metamaterials paradigm, each elastic micropillar is equipped with a rigid inertial inclusion to enhance vibroadhesion in a resonance range of excitation frequencies. Simple analytical approximations for the total pull-off force are obtained by means of a homogenization method. The influence of substrate (or backing-layer interaction) on the adhesive strength is described in detail in the case of flat-ended pillars. It was shown that the effect of rate-dependent adhesion, which is characterized by the Gent–Schultz power law, reveals itself in gradual stiffening the contact with excitation frequency increasing towards the resonance, which implies the so-called stiffening behavior of the amplitude–frequency characteristic for an individual composite micropillar.

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粘接微图案化弹性界面的非线性弹性元基础模型

应用层次渐近建模方法求解振动微纹弹性界面的单侧接触问题。单个微柱的变形模型考虑了局部（赫兹接触）和全局（变截面弹性杆）变形的贡献。采用描述柱基间弹性相互作用的Kachanov方法，建立了附着微图纹界面的基底（弹性半空间）的变形模型。假设微柱与刚性冲头（外部压痕体）之间的接触界面为广义的jkr型速率依赖粘附，在考虑的具体情况下，该冲头被认为是球形的。在超材料范式的精神中，每个弹性微柱都配备了刚性惯性包涵体，以增强激发频率共振范围内的振动性。用均匀化方法得到了总拉脱力的简单解析近似。在平端柱的情况下，详细描述了衬底（或衬底层相互作用）对粘接强度的影响。结果表明，速率相关的粘附效应表现为根特-舒尔茨幂律，随着激励频率向共振方向增加，接触逐渐变硬，这意味着单个复合材料微柱的幅频特性具有所谓的变硬行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.