Sliding adhesive contact of one-dimensional hexagonal piezoelectric quasicrystals on imperfect interface substrates

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2025-09-24 DOI:10.1016/j.apm.2025.116470

Yapeng Duan , Jiale Du , Xin Zhang , Rukai Huang

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引用次数: 0

Abstract

This study delves into the sliding adhesive contact problem of a one-dimensional (1D) hexagonal piezoelectric quasicrystals (PEQCs) spherical indenter on an imperfectly bonded system comprising a 1D hexagonal PEQCs coating and a piezoelectric substrate. Based on the general solutions for the half-space of 1D hexagonal PEQCs and piezoelectric substrate and the boundary conditions of the imperfect interface, dual Fourier integral transforms were applied to derive frequency response functions for relevant physical quantities, subsequently converted into corresponding influence coefficients. Numerical solutions were obtained using an algorithm combining the adhesion-driven conjugate gradient method (AD-CGM) and discrete convolution-fast Fourier transform (DC-FFT), with results elucidating the influence mechanisms of friction coefficient, coating thickness, adhesion parameter, and imperfection index on the system. The conclusions provide a theoretical foundation for the fabrication and application of micro-nano devices.

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一维六边形压电准晶体在非完美界面基板上的滑动黏着接触

本文研究了一维六边形压电准晶体（PEQCs）球面压头在由一维六边形压电准晶体涂层和压电衬底组成的非完美结合体系上的滑动粘接接触问题。基于一维六边形PEQCs与压电衬底半空间的通解和非完美界面的边界条件，应用对偶傅立叶积分变换推导出相关物理量的频响函数，并将其转化为相应的影响系数。采用黏附驱动共轭梯度法（AD-CGM）和离散卷积快速傅里叶变换（DC-FFT）相结合的算法，得到了数值解，揭示了摩擦系数、涂层厚度、黏附参数和缺陷指数对系统的影响机理。研究结果为微纳器件的制备和应用提供了理论基础。

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

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.