COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM

Yusuf Kaya; Alper Polat; Talat Şükrü Özşahin

COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM

Abstract

The continuous and discontinuous contact problem of a homogeneous layer loaded with three rigid flat blocks and resting on the elastic semi-infinite plane was investigated in this study by using the finite element method (FEM). All surfaces are assumed to be frictionless. The homogenous layer was loaded by means of three rigid flat blocks whose external loads are Q and P (per unit thickness in 𝑧 direction). Two dimensional finite element analysis of the problem was performed using ANSYS package program. Analyzes were performed for loading conditions which are Q=P, Q=2P, Q=4P, Q=8P and Q=10P, and different values of block widths, distances between blocks and shear modulus. The initial separation loads and initial separation distances between the homogeneous layer and the elastic semi-infinite plane were determined for continuous contact condition. The length of the separation zone was obtained for discontinuous contact condition. In addition to these, normal stress distributions between the layer and the semi-infinite plane were determined for continuous and discontinuous contact conditions. As a result of the study, the analytical results, and the results of the finite element method were shown by comparing as graphs and tables.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Yusuf Kaya This is me
0000-0002-1894-1146
Türkiye

Alper Polat This is me
0000-0002-6368-5276
Türkiye

Talat Şükrü Özşahin This is me
0000-0002-1179-6556
Türkiye

Publication Date

December 1, 2018

Submission Date

April 17, 2018

Acceptance Date

June 29, 2018

Published in Issue

Year 2018 Volume: 36 Number: 4

IZ

https://izlik.org/JA34XR43BU

Cite

RIS / Bibtex

APA

Kaya, Y., Polat, A., & Özşahin, T. Ş. (2018). COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM. Sigma Journal of Engineering and Natural Sciences, 36(4), 977-992. https://izlik.org/JA34XR43BU

AMA

1.Kaya Y, Polat A, Özşahin TŞ. COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM. SIGMA. 2018;36(4):977-992. https://izlik.org/JA34XR43BU

Chicago

Kaya, Yusuf, Alper Polat, and Talat Şükrü Özşahin. 2018. “COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM”. Sigma Journal of Engineering and Natural Sciences 36 (4): 977-92. https://izlik.org/JA34XR43BU.

EndNote

Kaya Y, Polat A, Özşahin TŞ (December 1, 2018) COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM. Sigma Journal of Engineering and Natural Sciences 36 4 977–992.

IEEE

[1]Y. Kaya, A. Polat, and T. Ş. Özşahin, “COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM”, SIGMA, vol. 36, no. 4, pp. 977–992, Dec. 2018, [Online]. Available: https://izlik.org/JA34XR43BU

ISNAD

Kaya, Yusuf - Polat, Alper - Özşahin, Talat Şükrü. “COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM”. Sigma Journal of Engineering and Natural Sciences 36/4 (December 1, 2018): 977-992. https://izlik.org/JA34XR43BU.

JAMA

1.Kaya Y, Polat A, Özşahin TŞ. COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM. SIGMA. 2018;36:977–992.

MLA

Kaya, Yusuf, et al. “COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 4, Dec. 2018, pp. 977-92, https://izlik.org/JA34XR43BU.

Vancouver

1.Yusuf Kaya, Alper Polat, Talat Şükrü Özşahin. COMPARISON OF FEM SOLUTION WITH ANALYTICAL SOLUTION OF CONTINUOUS AND DISCONTINUOUS CONTACT PROBLEM. SIGMA [Internet]. 2018 Dec. 1;36(4):977-92. Available from: https://izlik.org/JA34XR43BU