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 have 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. In addition, 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.
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April 2007
Technical Papers
An Incremental Adaptive Procedure for Viscoelastic Contact Problems
Fatin F. Mahmoud,
Fatin F. Mahmoud
Mem. ASME
Department of Mechanical Engineering, College of Engineering,
e-mail: [email protected]
Zagazig University
, Zagazig, 44511, Egypt
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Ahmed G. El-Shafei,
Ahmed G. El-Shafei
Department of Mechanical Engineering, College of Engineering,
Zagazig University
, Zagazig, 44511, Egypt
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Mohamed A. Attia
Mohamed A. Attia
Department of Mechanical Engineering, College of Engineering,
Zagazig University
, Zagazig, 44511, Egypt
Search for other works by this author on:
Fatin F. Mahmoud
Mem. ASME
Department of Mechanical Engineering, College of Engineering,
Zagazig University
, Zagazig, 44511, Egypte-mail: [email protected]
Ahmed G. El-Shafei
Department of Mechanical Engineering, College of Engineering,
Zagazig University
, Zagazig, 44511, Egypt
Mohamed A. Attia
Department of Mechanical Engineering, College of Engineering,
Zagazig University
, Zagazig, 44511, EgyptJ. Tribol. Apr 2007, 129(2): 305-313 (9 pages)
Published Online: November 11, 2006
Article history
Received:
May 6, 2006
Revised:
November 11, 2006
Citation
Mahmoud, F. F., El-Shafei, A. G., and Attia, M. A. (November 11, 2006). "An Incremental Adaptive Procedure for Viscoelastic Contact Problems." ASME. J. Tribol. April 2007; 129(2): 305–313. https://doi.org/10.1115/1.2464139
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