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Research Papers

Independent Meshing of Contact Surfaces in 3D Boundary Element Method Contact Analysis

[+] Author and Article Information
A. Sahli

Department of Mechanical Engineering, Laboratory of Applied Mechanics, LMA,  University of Sciences and Technology, B.P. 1505 Oran, El Menaouer 31000, Algeriasahli@univ-usto.dz

M. B. Guemmour, S. Kebdani, D. Boutchicha, O. Rahmani

Department of Mechanical Engineering, Laboratory of Applied Mechanics, LMA,  University of Sciences and Technology, B.P. 1505 Oran, El Menaouer 31000, Algeria

J. Appl. Mech 75(4), 041021 (May 19, 2008) (8 pages) doi:10.1115/1.2912998 History: Received August 28, 2007; Revised March 30, 2008; Published May 19, 2008

This paper deals with the development of two new boundary element algorithms for solving 3D, frictional, and linear elastostatic contact problems. The main contribution of this research is that solving 3D boundary element models with nonconforming discretizations becomes possible for the first time by using the proposed algorithms. The new algorithms provide the contact constraint equations that will be added to the underdetermined linear system of equations. These algorithms are implemented in a new 3D boundary element code using C++ and verified using several numerical examples. For the models studied, the results using the new boundary element algorithms match well with the finite element results and clearly demonstrate the feasibility of the new boundary element approach for 3D contact analysis.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram. Point a or b is either a node or a point on Body A or B

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Figure 2

Conceptual diagrams for the first algorithm

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Figure 3

The concept of second algorithm: Because one more value is known, new approximation (blue dashed line) is more accurate than original approximation (black solid line)

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Figure 4

Geometry and mesh for flat punch problem

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Figure 5

Displacement in the direction normal to contact surface and along the X axis (block on block)

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Figure 6

Normal traction on contact surface (block on block)

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Figure 7

Tangential traction on contact surface (block on block)

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Figure 8

Geometry and mesh of the second example

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Figure 9

Displacement in the direction normal to contact surface (cylinder on block)

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Figure 10

Normal traction on contact surface (cylinder on block)

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