Contact pressure distribution throughout the contact interface has a vital role on the tribological aspects of the contact systems. Generally, contact of deformable bodies is a nonlinear problem. Viscoelastic materials having a time-dependent response, since both viscous and elastic characteristics depend on time. Such types of materials have the capability of storing and dissipating energy. When at least one of the contacting bodies is made of a viscoelastic material, contact problems become more difficult, and a nonlinear time-dependent contact problem is obtained. The objective of this paper is to develop an incremental adaptive computational model capable of handling quasistatic viscoelastic frictionless contact problems. The Wiechert model, as an effective model capable of describing both creep and relaxation phenomena, is adopted to simulate the linear behavior of viscoelastic materials. The resulting constitutive integral equations are linearized and, therefore, complications that arise during the direct integration of these equations, specially with contact problems, are avoided. Also, the incremental convex programming method is adopted and modified to accommodate the contact problem of viscoelastic bodies. The Lagrange multiplier method is adopted to enforce the contact constraints. Two different contact problems are presented to demonstrate the efficient applicability of the proposed model.
Skip Nav Destination
STLE/ASME 2006 International Joint Tribology Conference
October 23–25, 2006
San Antonio, Texas, USA
Conference Sponsors:
- Tribology Division
ISBN:
0-7918-4259-2
PROCEEDINGS PAPER
An Incremental Adaptive Procedure for Viscoelastic Contact Problems Available to Purchase
Fatin F. Mahmoud,
Fatin F. Mahmoud
Zagazig University, Zagazig, Egypt
Search for other works by this author on:
Ahmed G. El-Shafei,
Ahmed G. El-Shafei
Zagazig University, Zagazig, Egypt
Search for other works by this author on:
Mohamed A. Attia
Mohamed A. Attia
Zagazig University, Zagazig, Egypt
Search for other works by this author on:
Fatin F. Mahmoud
Zagazig University, Zagazig, Egypt
Ahmed G. El-Shafei
Zagazig University, Zagazig, Egypt
Mohamed A. Attia
Zagazig University, Zagazig, Egypt
Paper No:
IJTC2006-12073, pp. 729-738; 10 pages
Published Online:
October 2, 2008
Citation
Mahmoud, FF, El-Shafei, AG, & Attia, MA. "An Incremental Adaptive Procedure for Viscoelastic Contact Problems." Proceedings of the STLE/ASME 2006 International Joint Tribology Conference. Part A: Tribomaterials; Lubricants and Additives; Elastohydrodynamic Lubrication; Hydrodynamic Lubrication and Fluid Film Bearings; Rolling Element Bearings; Engine Tribology; Machine Components Tribology; Contact Mechanics. San Antonio, Texas, USA. October 23–25, 2006. pp. 729-738. ASME. https://doi.org/10.1115/IJTC2006-12073
Download citation file:
7
Views
Related Proceedings Papers
Related Articles
An Incremental Adaptive Procedure for Viscoelastic Contact Problems
J. Tribol (April,2007)
A Numerical Solution for Quasistatic Viscoelastic Frictional Contact Problems
J. Tribol (January,2008)
Modeling of Quasistatic Thermoviscoelastic Frictional Contact Problems
J. Tribol (January,2012)
Related Chapters
Matrix Equations of the Contact Problem
Contact in Structural Mechanics: A Weighted Residual Approach
Thermal Transfer Calculation Methods for Insulated Underground Piping Systems and Comparisons of Results
Thermal Insulation Performance
Design, Implementation, and Control of a Computerized Tension Testing Station
Computer Automation of Materials Testing