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A numerical solution for quasistatic viscoelastic frictional contact problems
Faculty
Not Specified
Year:
2008
Type of Publication:
Article
Pages:
Authors:
Mahmoud, Fatin F, El-Shafei, Ahmed G, Al-Shorbagy, Amal E, Rahman, Alaa A. Abdel
DOI:
10.1115/1.2806202
Journal:
JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME ASME-AMER SOC MECHANICAL ENG
Volume:
130
Research Area:
Engineering
ISSN
ISI:000253640900012
Keywords :
contact mechanics, friction, microslip, nonclassical friction law, viscoelasticity, Wiechert model, incremental convex programming method (ICPM), finite element medel (FEM)
Abstract:
The tribological aspects of contact are greatly affected by the friction throughout the contact interface. Generally, contact of deformable bodies is a nonlinear problem. Introduction of the friction with its irreversible character makes the contact problem more difficult. Furthermore, when one or more of the contacting bodies is made of a viscoelastic material, the problem becomes more complicated. A nonlinear time-dependent contact problem is addressed. The objective of the present work is to develop a computational procedure capable of handling quasistatic viscoelastic frictional contact problems. The contact problem as a convex programming model is solved by using an adaptive incremental procedure. The contact constraints are incorporated into the model by using the Lagrange multiplier method. In addition, a local-nonlinear nonclassical friction model is adopted to model the friction at the contact interface. This eliminates the difficulties that arise with the application of the classical Coulomb's law. On the other hand, 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; therefore, complications that arise during the integration of these equations, especially with contact problems, are avoided. Two examples are presented to demonstrate the applicability of the proposed method.
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