长记忆粘弹性材料的正常柔度摩擦接触问题

Q4 Mathematics Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Pub Date : 2021-01-01 DOI:10.56082/annalsarscimath.2022.1-2.142

A. Kasri

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引用次数: 0

摘要

本文研究了长记忆粘弹性材料与地基的准静态接触问题。这种接触是用库仑干摩擦定律的一个版本和一般的正常顺应条件来建模的。我们推导了模型的变分形式，并在一个较小的假设下，建立了问题的弱解的存在性。利用时间离散化方法、Banach不动点定理以及紧性、下半连续性和单调性的证明

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A FRICTIONAL CONTACT PROBLEM WITH NORMAL COMPLIANCE FOR VISCOELASTIC MATERIALS WITH LONG MEMORY

This paper is devoted to study a quasistatic contact problem be-tween a viscoelastic material with long memory and a foundation. Thecontact is modelled with a version of Coulomb’s law of dry friction anda general normal compliance condition. We derive a variational formu-lation of the model and, under a smallness assumption, we establishthe existence of a weak solution to the problem. The proof is based onthe time-discretization method, the Banach ﬁxed point theorem andarguments of compactness, lower semicontinuity and monotonicity

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来源期刊

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Mathematics-Mathematics (all)

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： The journal Mathematics and Its Applications is part of the Annals of the Academy of Romanian Scientists (ARS), in which several series are published. Although the Academy is almost one century old, due to the historical conditions after WW2 in Eastern Europe, it is just starting with 2006 that the Annals are published. The Editor-in-Chief of the Annals is the President of ARS, Prof. Dr. V. Candea and Academician A.E. Sandulescu (†) is his deputy for this domain. Mathematics and Its Applications invites publication of contributed papers, short notes, survey articles and reviews, with a novel and correct content, in any area of mathematics and its applications. Short notes are published with priority on the recommendation of one of the members of the Editorial Board and should be 3-6 pages long. They may not include proofs, but supplementary materials supporting all the statements are required and will be archivated. The authors are encouraged to publish the extended version of the short note, elsewhere. All received articles will be submitted to a blind peer review process. Mathematics and Its Applications has an Open Access policy: all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. No submission or processing fees are required. Targeted topics include : Ordinary and partial differential equations Optimization, optimal control and design Numerical Analysis and scientific computing Algebraic, topological and differential structures Probability and statistics Algebraic and differential geometry Mathematical modelling in mechanics and engineering sciences Mathematical economy and game theory Mathematical physics and applications.