Application of J-integral to adhesive contact under general plane loading for rolling resistance

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Applied Mathematical Modelling Pub Date : 2024-09-21 DOI:10.1016/j.apm.2024.115700
Zhao-Yang Ma, Gan-Yun Huang
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Abstract

In the present work, a mechanical model for two-dimensional non-slipping adhesive contact between dissimilar elastic solids under general loading, namely, normal forces, tangential forces and moments is proposed. The general solutions are obtained analytically with the stresses at the contact edges exhibiting oscillatory singularity, similar to those at a bimaterial interface crack. The well-known J-integral under the current context is analyzed. Its application under the selected integration contour readily gives the relationship between the stress intensity factors and energy release rates at the contact edges. With the results rolling adhesion between two solids with parabolic profiles is considered further. The applied moment can be directly determined by the difference in energy release rates at the trailing and leading edges and hence the rolling resistance even for adhesive contact with cohesive zones. These results provide the foundation for understanding some tribological phenomena associated with adhesion.
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将 J 积分应用于一般平面载荷下的粘合接触,以获得滚动阻力
本研究提出了不同弹性固体在一般载荷(即法向力、切向力和力矩)作用下的二维非滑动粘合接触力学模型。一般解是通过分析得到的,接触边缘的应力表现出振荡奇异性,类似于双材料界面裂缝处的应力。分析了当前背景下著名的 J 积分。在选定的积分等值线下应用该积分,很容易得出接触边缘的应力强度因子和能量释放率之间的关系。根据分析结果,进一步考虑了两个具有抛物线轮廓的固体之间的滚动粘附。通过后缘和前缘能量释放率的差异,可以直接确定外加力矩,因此即使在粘附接触有内聚区的情况下,也能确定滚动阻力。这些结果为理解与粘附相关的一些摩擦学现象奠定了基础。
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
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.
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