Research Papers: Contact Mechanics

The Influence of the Elastoplastic Behavior and the Load Pattern on the Tribological Properties of Two-Dimensional Frictional Contact Problems

[+] Author and Article Information
Waleed S. Abdalla

Mechanical Design
and Production Engineering Department,
Faculty of Engineering,
Zagazig University,
Zagazig 44511, Egypt
e-mail: waleed_zaraa@yahoo.com

Soliman S. Ali-Eldin

Mechanical Design
and Production Engineering Department,
Faculty of Engineering,
Zagazig University,
Zagazig 44511, Egypt
e-mail: s.alieldin@yahoo.com

Mohamed R. Ghazy

Mechanical Design
and Production Engineering Department,
Faculty of Engineering,
Zagazig University,
Zagazig 44511, Egypt
e-mail: ghazy_moh_riad@yahoo.com

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received November 7, 2013; final manuscript received March 13, 2014; published online May 12, 2014. Assoc. Editor: Dong Zhu.

J. Tribol 136(3), 031402 (May 12, 2014) (10 pages) Paper No: TRIB-13-1226; doi: 10.1115/1.4027240 History: Received November 07, 2013; Revised March 13, 2014

The macromechanical tribological mechanism describes the friction phenomenon by considering the stress and the strain distributions, and the total elastic and plastic deformations. Based on the finite element method (FEM), the elastoplastic frictional contact problem is formulated as an incremental convex programming model (CPM). The Lagrange multiplier approach is adopted for imposing the inequality contact constraints. The Coulomb's friction law and the Prandtl–Reuss flow rule are used for the friction conditions and the elastoplastic behavior, respectively. The frictional contact examples are analyzed using the developed adaptive incremental procedure to elucidate the tribological behavior of the contact bodies and the model applicability.

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Fig. 1

A schematic of two bodies in contact

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Fig. 3

A schematic of a cylinder resting on a rigid surface

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Fig. 4

von Mises equivalent stress distribution in the cylinder

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Fig. 5

Contact pressure along the interface

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Fig. 6

RTD along the interface

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Fig. 7

Tangential stress along the interface

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Fig. 8

Two deformable blocks under a distributed load

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Fig. 9

Contact stresses along the interface

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Fig. 10

RTD along the interface

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Fig. 11

Contact stresses along the interface

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Fig. 12

Deformable block on a rigid foundation

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Fig. 13

RTD at the contact interface

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Fig. 14

Contact stresses distribution

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Fig. 15

The von Mises equivalent stress distribution



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