Finite Element Modeling of Receding Contact Problem

Murat Yaylacı; Mehmet Çağrı Bayrak; Mehmet Avcar

doi:10.24107/ijeas.646718

Research Article

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

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

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

There are 12 citations in total.

Details

Primary Language	English
Journal Section	Articles
Authors	Murat Yaylacı 0000-0003-0407-1685 Mehmet Çağrı Bayrak This is me 0000-0002-9995-7325 Mehmet Avcar 0000-0002-0689-0601
Publication Date	December 5, 2019
Acceptance Date	December 5, 2019
Published in Issue	Year 2019 Volume: 11 Issue: 4

Cite

APA	Yaylacı, M., Bayrak, M. Ç., & Avcar, M. (2019). Finite Element Modeling of Receding Contact Problem. International Journal of Engineering and Applied Sciences, 11(4), 468-475. https://doi.org/10.24107/ijeas.646718
AMA	Yaylacı M, Bayrak MÇ, Avcar M. Finite Element Modeling of Receding Contact Problem. IJEAS. December 2019;11(4):468-475. doi:10.24107/ijeas.646718
Chicago	Yaylacı, Murat, Mehmet Çağrı Bayrak, and Mehmet Avcar. “Finite Element Modeling of Receding Contact Problem”. International Journal of Engineering and Applied Sciences 11, no. 4 (December 2019): 468-75. https://doi.org/10.24107/ijeas.646718.
EndNote	Yaylacı M, Bayrak MÇ, Avcar M (December 1, 2019) Finite Element Modeling of Receding Contact Problem. International Journal of Engineering and Applied Sciences 11 4 468–475.
IEEE	M. Yaylacı, M. Ç. Bayrak, and M. Avcar, “Finite Element Modeling of Receding Contact Problem”, IJEAS, vol. 11, no. 4, pp. 468–475, 2019, doi: 10.24107/ijeas.646718.
ISNAD	Yaylacı, Murat et al. “Finite Element Modeling of Receding Contact Problem”. International Journal of Engineering and Applied Sciences 11/4 (December 2019), 468-475. https://doi.org/10.24107/ijeas.646718.
JAMA	Yaylacı M, Bayrak MÇ, Avcar M. Finite Element Modeling of Receding Contact Problem. IJEAS. 2019;11:468–475.
MLA	Yaylacı, Murat et al. “Finite Element Modeling of Receding Contact Problem”. International Journal of Engineering and Applied Sciences, vol. 11, no. 4, 2019, pp. 468-75, doi:10.24107/ijeas.646718.
Vancouver	Yaylacı M, Bayrak MÇ, Avcar M. Finite Element Modeling of Receding Contact Problem. IJEAS. 2019;11(4):468-75.