Dergiler / Turkish Journal of Science and Technology / 2018 / Cilt: 13 - Sayı: 1

Finite Element Solution of the Contact Problem

Sayfa
113–117
Yayın Tarihi
2018-03-01
DOI
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Finally, the results obtained from the finite element solution are verified by comprasion with the analytical results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, continuous and discontinuous contact problems for an elastic layer loaded by symmetrical distributed loads whose lengths are 2a on an elastic semi-infinite plane is solved using finite element method.
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Temel Bulgular & Veri:The elastic layer also subjected to uniform vertical body force because of effect of the gravity.
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Sonuç & Katkı:Finally, the results obtained from the finite element solution are verified by comprasion with the analytical results.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mechanic · Continuous contact · Discontinuous contact

Abstract

In this paper, continuous and discontinuous contact problems for an elastic layer loaded by symmetrical distributed loads whose lengths are 2a on an elastic semi-infinite plane is solved using finite element method. The elastic layer also subjected to uniform vertical body force because of effect of the gravity. Thickness in z direction is taken to be unit. It is assumed that the contact surfaces are frictionless, only normal tractions can be transmitted through the contact areas. The contact along the interface between elastic layer and half plane is continuous if the value of load factor is less than a critical value. In continuous and discontinuous contact cases, the stress distribution on the contact interface are plotted for different dimensionless quantities. The finite element model of the problem is constituted using ANSYS software and analysis of the problem is carried out. Finally, the results obtained from the finite element solution are verified by comprasion with the analytical results.

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Bu Makaleye Atıf Yap

KARABULUT, P. M., YAYLACI, M., BİRİNCİ, A. (2018). Finite Element Solution of the Contact Problem. Turkish Journal of Science and Technology, Cilt: 13 - Sayı: 1, 113–117. https://ajindex.com/articles/809620

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Kaynakça (15)

  1. Chan, S. K. and Tuba, I. S. (1971). A finite element method for contact problems of solid bodies - part I: theory and validation. International Journal of Mechanica Sciences, 13(7): 615-625
  2. Keer, L. M., Dundurs, J. and Tsai, K. C. (1972). Problems involving a receding contact between a layer and a half space. Journal of Applied Mechanics, 39(4): 1115-1120
  3. Erdogan, F. and Gupta, G. D. (1972). Numerical solution of singular integral equations. Quarterly of Applied Mathematics, 29(4): 525-&
  4. Ratwani, M. and Erdogan, F. (1973). On the plane contact problem for a frictionless elastic layer. International Journal of Solids and Structures, 9(8): 921-936
  5. Francavilla, A. and Zienkiewicz, O. C. (1975), A note on numerical of elastic contact problems. International Journal for Numerical Methods in Engineering, 9(4): 913-924
  6. Adams, G. G., Bogy, D. B. (1977), The plane symmetric contact problem for dissimilar elastic semi-infinite strips of different widths. Journal of Applied Mechanics-ASME, 44(4): 604-610
  7. Civelek, M. B., Erdogan, F. and Cakiroglu, A.O. (1978). Interface seperation for an elastic layer loaded by a rigid stamp. International Journal of Engineering Science, 16(9): 669-679
  8. Gecit, M. R. (1986). Axisymmetric contact problem for a semi-infinite cylinder and a half space. International Journal of Engineering Science, 24(8): 1245-1256
  9. Abdou, M. A. (1999). Integral equation and contact problem for a system of impressing stamps. Applied Mathematics and Computation, 106(2-3): 141-148
  10. Francavilla, A. and Zienkiewicz, O. C. (1975). A note on numerical computation of elastic contact problems. International Journal for Numerical Methods in Engineering, 9(4): 913-924
  11. Cakiroglu, A. O. and Cakiroglu, F.L. (1991). Continuous and discontinuous contact problems for strips on an elastic semi-infinite plane. International Journal of Engineering Science, 29: 93-111
  12. Jing, H. -S. and Liao, M. -L. (1990). An improved finite element scheme for elastic contact problems with friction. Mathematical and Computer Modeling, 15: 143-154
  13. Gorrido, J. A., Foces, A. and Paris, F. (1991). BEM applied to receding contact problems with friction. Mathematical and Computer Modeling, 15, 143-154
  14. Gorrido, J. A., Foces, A. and Paris, F. (1991). BEM applied to receding contact problems with frictions. Mathematical and Computer Modeling, 15(3-5), 143-153
  15. Gorrido, J. A. and Lorenzana, A. (1998). Receding contact problem involving large d