含磨损接触问题的广义时间演化模型及其分析

IF 1 Q4 MECHANICS

Mathematics and Mechanics of Complex Systems Pub Date : 2022-03-06 DOI:10.2140/memocs.2022.10.279

D. Ponomarev

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引用次数: 1

摘要

．在本文中，我们回顾了一些经典的和最近的工作，模拟滑动接触与磨损，并提出他们的推广。也就是说，我们通过加入一些非局部时间依赖性来升级压力与磨损率之间的关系。为了达到这个效果，我们结合了分数微积分和松弛效应。此外，我们还考虑了载荷在时间上不恒定的可能性。对所提出的模型进行了分析和求解。对结果进行了数值说明，并与同类模型进行了比较。

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A generalised time-evolution model for contact problems with wear and its analysis

. In this paper, we revisit some classical and recent works on modelling sliding contact with wear and propose their generalisation. Namely, we upgrade the relation between the pressure and the wear rate by incorpo- rating some non-local time-dependence. To this eﬀect, we use a combination of fractional calculus and relaxation eﬀects. Moreover, we consider a possibility when the load is not constant in time. The proposed model is analysed and solved. The results are illustrated numerically and comparison with similar models is discussed.

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来源期刊

Mathematics and Mechanics of Complex Systems MECHANICS-

CiteScore

3.00

自引率

5.30%

发文量

期刊介绍： MEMOCS is a publication of the International Research Center for the Mathematics and Mechanics of Complex Systems. It publishes articles from diverse scientific fields with a specific emphasis on mechanics. Articles must rely on the application or development of rigorous mathematical methods. The journal intends to foster a multidisciplinary approach to knowledge firmly based on mathematical foundations. It will serve as a forum where scientists from different disciplines meet to share a common, rational vision of science and technology. It intends to support and divulge research whose primary goal is to develop mathematical methods and tools for the study of complexity. The journal will also foster and publish original research in related areas of mathematics of proven applicability, such as variational methods, numerical methods, and optimization techniques. Besides their intrinsic interest, such treatments can become heuristic and epistemological tools for further investigations, and provide methods for deriving predictions from postulated theories. Papers focusing on and clarifying aspects of the history of mathematics and science are also welcome. All methodologies and points of view, if rigorously applied, will be considered.