Finite Element Modeling of Receding Contact Problem

Year 2019, Volume: 11 Issue: 4, 468 - 475, 05.12.2019

Murat Yaylacı , Mehmet Çağrı Bayrak Mehmet Avcar

https://doi.org/10.24107/ijeas.646718

Cited By: 5

Abstract

In this study, the contact problem of an elastic
layer resting on the rigid foundation is examined. For this aim,
two-dimensional analysis has been performed using Finite Element Method (FEM)
based software called ANSYS. In the solution of the problem, the mass forces of
the layers are neglected and the thickness through z-axis direction is taken as
a unit since the problem is examined for the plane state. The contact length
between the punch and layer and the resulting contact stresses are obtained for
various dimensionless parameters. 

Keywords

Contact Mechanics , Plane contact problem , FEM analysis

References

• Hertz, H., Ueber die Berührung fester elastischer Körper, Journal Fur Die Reine Und Angewandte Mathematik, 1882, 156–71, 1882. doi:10.1515/crll.1882.92.156
• Weitsman, Y., On the unbonded contact between plates and an elastic half space, Journal of Applied Mechanics, Transactions ASME, 1964. doi:10.1115/1.3564607
• Keer, L.M., Dundurs, J., Tsai, K.C., Problems involving a receding contact between a layer and a half space, Journal of Applied Mechanics, Transactions ASME, 1972. doi:10.1115/1.3422839
• Ratwani, M., Erdogan, F., On the plane contact problem for a frictionless elastic layer, International Journal of Solids and Structures, 1973. doi:10.1016/0020-7683(73)90021-8
• Nowell, D., Hills, D.A., Contact problems incorporating elastic layers, International Journal of Solids and Structures, 1988. doi:10.1016/0020-7683(88)90102-3
• Chan, S.K., Tuba, I.S., A finite element method for contact problems of solid bodies-Part I. Theory and validation, International Journal of Mechanical Sciences, 13, 615–25, 1971. doi:10.1016/0020-7403(71)90032-4
• Francavilla, A., Zienkiewicz, O.C., A note on numerical computation of elastic contact problems, International Journal for Numerical Methods in Engineering, 9, 913–24, 1975. doi:10.1002/nme.1620090410
• Jing, H.S., Liao, M.L., An improved finite element scheme for elastic contact problems with friction, Computers and Structures, 35, 571–8, 1990. doi:10.1016/0045-7949(90)90385-F
• Garrido, J.A., Foces, A., Paris, F., B.E.M. applied to receding contact problems with friction, Mathematical and Computer Modelling, 15, 143–53, 1991. doi:10.1016/0895-7177(91)90060-K
• Garrido, J.A., Lorenzana, A., Receding contact problem involving large displacements using the BEM, Engineering Analysis with Boundary Elements, 21, 295–303, 1998. doi:10.1016/s0955-7997(98)00018-6
• Yaylaci, M., Terzi, C., Avcar, M., Numerical analysis of the receding contact problem of two bonded layers resting on an elastic half plane, Structural Engineering and Mechanics, accepted, 2019
• ANSYS, Swanson Analysis Systems Inc. Houston PA, USA., 2013