压电材料摩擦接触的表面效应

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.2025.116456

Zhanzhou Ma, Tiejun Liu

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引用次数: 0

摘要

研究了压电半平面在圆柱压头作用下的表面效应对摩擦接触的影响。采用傅里叶积分变换方法，推导了考虑表面效应的压电材料摩擦接触的基本解。通过对具有表面效应的滑动摩擦接触问题的控制方程进行数值求解，得到了接触应力和电位移在压电材料表面的分布。分析了摩擦系数、表面残余应力和表面材料常数对压电材料摩擦接触问题机电响应的影响。研究表明，表面效应在压电材料的摩擦接触中起着重要的作用。

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Surface effect on frictional contact of piezoelectric material

The paper focuses on the influence of the surface effect on the frictional contact of a piezoelectric half-plane subjected to a cylindrical indenter. The Fourier integral transform method is adopted to derive the fundamental solution for the frictional contact of piezoelectric materials by considering the surface effect. The distributions of contact stresses and electric displacements on the surface of the piezoelectric material are obtained by numerically solving the governing equations of the sliding frictional contact problem with surface effect. The influence of the friction coefficient, surface residual stress, and surface material constants on the electromechanical response in the frictional contact problem of piezoelectric materials are analyzed. The present research indicates that the surface effect plays a significant role in the frictional contact of piezoelectric materials.

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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.