Research Article

COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM

Volume: 35 Number: 2 June 1, 2017
  • Murat Yaylacı

COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM

Abstract

A finite element calculation has been utilized to investigate the plane symmetric double receding contact problem for a rigid stamp and two elastic layers. Elastic layers have different elastic constants and heights. The external load is applied to the upper elastic layer by means of a rigid stamp and the lower elastic layer is bonded to a rigid support. The external load is applied to the upper elastic layer by means of a rigid stamp and the lower elastic layer is bonded to a rigid support. The problem is solved under the assumptions that the contact between two elastic layers, and between the rigid stamp and the upper elastic layer are frictionless, the effect of gravity force is neglected. Numerical simulations are realized by the world wide code ANYS software based on FEM. The model provides dimensionless expressions for the contact areas and contact pressures. This paper presents comparison with numerical solutions and analytical solutions. Calculated contact areas and contact pressures may be used for the optimal design of layer system as well as together with analytical solutions.

Keywords

References

  1. [1] ANSYS (2013), Swanson Analysis Systems Inc., Houston, PA, USA.
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  4. [4] Bhushan, B. 1996, “Contact Mechanics of Rough Surfaces in Tribology: Single Asperity Contact”, Appl. Mech. Rev., 49, pp. 275–298.
  5. [5] Birinci, A. Adıyaman, G. Yaylacı, M. and Öner, E. (2015), “Analysis of Continuous and Discontinuous Cases of a Contact Problem Using Analytical Method and FEM”, Latin American Journal of Solids And Structures, 12(9), 1771-1789.
  6. [6] Bostan, V. and Han, W. (2006), “A posteriori error analysis for finite element solutions of a frictional contact problem”, Comput. Methods Appl. Mech. Eng. 195(9-12), 1252–1274.
  7. [7] Chan, S. K. and Tuba, I. S. (1971), “A finite element method for contact problems of solid bodies-I. Theory and Validation”, Int. J. mech. Sci., 13, 615-625.
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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Murat Yaylacı This is me
Türkiye

Publication Date

June 1, 2017

Submission Date

November 30, 2016

Acceptance Date

February 25, 2017

Published in Issue

Year 2017 Volume: 35 Number: 2

APA
Yaylacı, M. (2017). COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM. Sigma Journal of Engineering and Natural Sciences, 35(2), 333-346. https://izlik.org/JA99TF53BZ
AMA
1.Yaylacı M. COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM. SIGMA. 2017;35(2):333-346. https://izlik.org/JA99TF53BZ
Chicago
Yaylacı, Murat. 2017. “COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM”. Sigma Journal of Engineering and Natural Sciences 35 (2): 333-46. https://izlik.org/JA99TF53BZ.
EndNote
Yaylacı M (June 1, 2017) COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM. Sigma Journal of Engineering and Natural Sciences 35 2 333–346.
IEEE
[1]M. Yaylacı, “COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM”, SIGMA, vol. 35, no. 2, pp. 333–346, June 2017, [Online]. Available: https://izlik.org/JA99TF53BZ
ISNAD
Yaylacı, Murat. “COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM”. Sigma Journal of Engineering and Natural Sciences 35/2 (June 1, 2017): 333-346. https://izlik.org/JA99TF53BZ.
JAMA
1.Yaylacı M. COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM. SIGMA. 2017;35:333–346.
MLA
Yaylacı, Murat. “COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM”. Sigma Journal of Engineering and Natural Sciences, vol. 35, no. 2, June 2017, pp. 333-46, https://izlik.org/JA99TF53BZ.
Vancouver
1.Murat Yaylacı. COMPARISON BETWEEN NUMERICAL AND ANALYTICAL SOLUTIONS FOR THE RECEDING CONTACT PROBLEM. SIGMA [Internet]. 2017 Jun. 1;35(2):333-46. Available from: https://izlik.org/JA99TF53BZ

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