A quasistatic analysis for thermoviscoelastic contact problems

Author:

Mahmoud F F1,El-Shafei A G1,Attia M A1

Affiliation:

1. Department of Mechanical Design and Production, College of Engineering, Zagazig University, Egypt

Abstract

Thermomechanical contact of viscoelastic bodies is a non-linear time- and temperature-dependent problem. Consideration of temperature as an independent variable destroys the convolution integral form of the viscoelasticity constitutive relations. This paper presents a computational procedure capable of predicting the quasistatic response of uncoupled, thermoviscoelastic, frictionless contact problems. The contact problem as a convex programming model is solved throughout an incremental procedure. The Wiechert model is adopted to simulate the linear behaviour of viscoelastic materials. The temperature dependency of viscoelasticity is accounted for by applying the time—temperature superposition principle, in which the William, Landel, and Ferry relationship is adopted to determine the shift factor. Thus, the constitutive equations are transformed to be a function of the reduced time as the only independent variable, maintaining the convolution integral form. Therefore, the complications that arise during the direct integration of these equations, especially with contact problems, are avoided. Two different illustrative examples are included to demonstrate the applicability of the proposed procedure.

Publisher

SAGE Publications

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Modeling and Simulation

Reference46 articles.

1. 1 Leaderman H. Elastic and creep properties of filamentous materials and other polymers, 1943, pp. 175–185 (Textile Foundation, Washington, DC).

2. Stress Relaxation Studies of the Viscoelastic Properties of Polymers

3. Time‐Temperature Dependence of Linear Viscoelastic Behavior

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Investigation of multibody receding frictional indentation problems of unbonded elastic functionally graded layers;International Journal of Mechanical Sciences;2020-10

2. Modeling and analysis of the nonlinear indentation problems of functionally graded elastic layered solids;Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology;2019-05-21

3. On vibrations of functionally graded viscoelastic nanobeams with surface effects;International Journal of Engineering Science;2018-06

4. Size-dependent behavior of viscoelastic nanoplates incorporating surface energy and microstructure effects;International Journal of Mechanical Sciences;2017-04

5. Analysis of viscoelastic Bernoulli–Euler nanobeams incorporating nonlocal and microstructure effects;International Journal of Mechanics and Materials in Design;2016-05-19

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3