Comparison between Analytical and ANSYS Calculations for a Receding Contact Problem
Publication: Journal of Engineering Mechanics
Volume 140, Issue 9
Abstract
This paper considers a receding contact problem for two elastic layers (with different elastic constants and heights) supported by two elastic quarter planes. The lower layer is supported by two elastic quarter planes, and the upper elastic layer is subjected to a symmetrical distributed load whose length is on its top surface. It is assumed that contact between all surfaces is frictionless, and the effect of gravity force is neglected. First, the problem is formulated and solved using the theory of elasticity and integral transform technique. Using the integral transform technique and boundary conditions of the problem, the problem is reduced to a system of singular integral equations in which contact pressures and contact areas are unknown. The system of singular integral equations is solved numerically by using the Gauss-Jacobi integration formulation. Second, the receding contact problem has been developed based on the FEM ANSYS software. Two-dimensional analysis of the problem is carried out. The ANSYS and analytical results for the contact pressures, contact areas, and normal stresses ( and ) along the axis of symmetry are given for various dimensionless quantities. The ANSYS results are verified by comparison with analytical results.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 9 • September 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jun 17, 2013
Accepted: Feb 13, 2014
Published online: Mar 14, 2014
Discussion open until: Aug 14, 2014
Published in print: Sep 1, 2014
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