Computers and Concrete

  • 제33권1호
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  • Pages.13-25
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  • 2024
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  • 1598-8198(pISSN)
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  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
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Contact analysis in functionally graded layer loaded with circular two punches

  • Muhammed T. Polat (Munzur University, Department of Civil Engineering) ;
  • Alper Polat (Munzur University, Department of Civil Engineering)
  • 투고 : 2022.08.26
  • 심사 : 2023.07.24
  • 발행 : 2024.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, contact analysis in a functionally graded (FG) layer loaded with two circular punches is solved using the finite element method (FEM). The problem is consisted of a functionally graded layer that resting on an elastic semi-infinite plane and is loaded with two rigid punches of circular geometry. External loads P and Q are transferred to the layer via two rigid punches. The finite element model of the functionally graded layer is created using the ANSYS package program and a 2-dimensional analysis of the problem is analyzed. The contact lengths, obtained as a result of the analysis are compared with the analytical solution in the literature. In the study, the effects of parameters such as distances between punches, loads, inhomogenity parameter on contact zones, initial separation loads and distances, normal stresses, stresses across depth and contact stresses are investigated. As a result, in this study, it can be said that the magnitude of the stresses occurring in the FG layer is less than the homogeneous layer, therefore the life of FG materials will be longer than the homogeneous layer. When the distance between the punches is 2.25, the initial separation distance is 6.98, and when the distance between the punches is 4, the initial separation distance decreases to 6.10. In addition, when the load increased in the second punch, the initial separation load decreased from 55 to 18. The obtained results are presented in the form of graphs and tables.

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참고문헌

  1. Adiyaman, G., Yaylaci, M. and Birinci, A. (2015), "Analytical and finite element solution of a receding contact problem", Struct. Eng. Mech., 54(1), 69-85. https://doi.org/10.12989/sem.2015.54.1.069.
  2. ANSYS (2015), Swanson Analysis Systems Inc., Canonsburg, PA, USA.
  3. Apatay, T., Dag, S., Guler, M. and Gulgec, M. (2013), "Fonksiyonel derecelendirilmis kaplamalarda surtunmeli rijit zimba etkisiyle olusan yuzeyalti temas gerilmeleri", Gazi universitesi Muhendislik Mimarlik Fakultesi Dergisi, 25(3), 1.
  4. Arslan, O. (2020), "Plane contact problem between a rigid punch and a bidirectional functionally graded medium", Eur. J. Mech. A/Solids, 80, 0997-7538. https://doi.org/10.1016/j.euromechsol.2019.103925.
  5. Cao, R., Li, L., Li, X. and Mi, C. (2021), "On the frictional receding contact between a graded layer and an orthotropic substrate indented by a rigid flat-ended stamp", Mech. Mater., 158, 103847. https://doi.org/10.1016/j.mechmat.2021.103847.
  6. Chidlow, S.J. and Teodorescu, M. (2013), "Two-dimensional contact mechanics problems involving inhomogeneously elastic solids split into three distinct layers", Int. J. Eng. Sci., 70, 102-123. https://doi.org/10.1016/j.ijengsci.2013.05.004.
  7. Comez, I. (2013), "Contact problem of a functionally graded layer resting on a winkler foundation", Acta Mech., 224(11), 2833-2843. https://doi.org/10.1007/s00707-013-0903-5.
  8. Comez, I. (2015),"Contact problem for a functionally graded layer indented by a moving punch", Int. J. Mech. Sci., 100, 339-344. https://doi.org/10.1016/j.ijmecsci.2015.07.006.
  9. El-Borgi, S., Abdelmoula, R. and Keer, L. (2006), "A receding contact problem between a functionally graded layer and a homogeneous substrate", Int. J. Solid. Struct., 43, 658-674. https://doi.org/10.1016/j.ijsolstr.2005.04.017.
  10. Fathi, R., Wei, H., Saleh, B., Radhika, N., Jiang, J., Ma, A., Ahmed, M., Li, Q. and Ostrikov, K. (2022),"Past and present of functionally graded coatings: Advancements and future challenges", Applied Materials Today, 26, 2352-9407. https://doi.org/10.1016/j.apmt.2022.101373.
  11. Fu, P., Zhao, J., Zhang, X., Kang, G., Wang, P. and Kan, Q. (2022), "Elastic shakedown analysis of two-dimensional thermo-elastic rolling/sliding contact for a functionally graded coating/substrate structure with arbitrarily varying thermos-elastic properties", Compos. Struct., 280, 114891. https://doi.org/10.1016/j.compstruct.2021.114891.
  12. Johnson, K.L. (1985), Contact Mechanics, Cambrigde University Press, Cambridge, UK.
  13. Karabulut, P.M. and Comez, I. (2023), "Continuous and discontinuous contact problem of a functionally graded orthotropic layer indented by a rigid cylindrical punch: Analytical and finite element approaches", ZAMM-J. Appl. Math. Mech., 103(6), e202200427. https://doi.org/10.1002/zamm.202200427.
  14. Kaya, F. and Polat, A. (2023), "Stress analysis of the contact problem in a functionally graded layer loaded with a distributed load and two rigid circular punches resting on an elastic two quarter planes", Force. Mech., 11, 100203. https://doi.org/10.1016/j.finmec.2023.100203.
  15. Liu, T.J., Yang, F., Yu, H. and Aizikovich, S.M. (2019), "Axisymmetric adhesive contact problem for functionally graded materials coating based on the linear multi-layered model", Mech. Based Des. Struct. Mach., 49(1), 41-58. https://doi.org/10.1080/15397734.2019.1666721.
  16. Oner, E. (2017), "Continuous and discontinuous contact problems of a functionally graded layer loaded by a rigid stamp and resting on an elastic half plane", Ph.D. Thesis, Karadeniz Technical University, Trabzon, Turkey.
  17. Oner, E., Sengul, B. and Yaylaci, E.U. (2022), "On the plane receding contact between two functionally graded layers using computational, finite element and artificial neural network methods", ZAMM-J. Appl. Math. Mech., 102, e202100287. https://doi.org/10.1002/zamm.202100287.
  18. Polat, A. (2019), "Contact problem of a functionally graded layer sitting on an elastic half plane and loaded by two rigid blocks", Ph.D. Thesis, Munzur University, Tunceli, Turkey.
  19. Polat, A. (2019), "Investigation of the frictionless contact problem in a rigidly supported homogeneous layer by using fem", Gumushane Univ. J. Sci. Inst., 9, 797-807. https://doi.org/10.17714/gumusfenbil.569047.
  20. Polat, A. (2021), "Examination of contact problem between functionally graded punch and functionally graded layer resting on elastic plane", Struct. Eng. Mech., 78, 135-143. https://doi.org/10.12989/sem.2021.78.2.135.
  21. Polat, A. and Kaya, Y. (2022), "Analysis of discontinuous contact problem in two functionally graded layers resting on a rigid plane by using finite element method", Comput. Concrete, 29(4), 247-253. https://doi.org/10.12989/cac.2022.29.4.247.
  22. Polat, A., Kaya, Y. and Ozsahin, T. (2018), "Analytical solution to continuous contact problem for a functionally graded layer loaded through two dissimilar rigid blocks", Meccanica, 53, 3565-3577. https://doi.org/10.1007/s11012-018-0902-7.
  23. Polat, A., Kaya, Y., Bendine, K. and Ozsahin, T. (2019), "Frictionless contact problem for a functionally graded layer loaded through two rigid punches using finite element method", J. Mech., 35(5), 591-600. https://doi.org/10.1017/jmech.2018.55.
  24. Saleh, B., Fathi, R., Abdalla, M.A.A., Radhika, N., Ma, A. and Jiang, J. (2023),"Optimization and characterization of centrifugal-cast functionally graded al-sic composite using response surface methodology and grey relational analysis", Coat., 13, 813. https://doi.org/10.3390/coatings13050813.
  25. Saleh, B., Ji, B., Fathi, R., Guo, S., Ahmed, M., Jiang, J. and Ma, A. (2022), "Utilization of machining chips waste for production of functionally gradient magnesium matrix composites", J. Mater. Pr. Technol., 308, 0924-0136. https://doi.org/10.1016/j.jmatprotec.2022.117702.
  26. Saleh, B., Jiang, J., Fathi, R., Al-hababi, T., Xu, Q., Wang, L., Song, D. and Ma, A. (2020), "30 Years of functionally graded materials: An overview of manufacturing methods, Applications and Future Challenges", Compos. Part B: Eng., 201, 1359-8368. https://doi.org/10.1016/j.compositesb.2020.108376.
  27. Saleh, B., Ma, A., Fathi, R., Radhika, N., Ji, B. and Jiang, J. (2022), "Wear characteristics of functionally graded composites synthesized from magnesium chips waste", Tribol. Int., 174, 107692. https://doi.org/10.1016/j.triboint.2022.107692.
  28. Sathish, M., Radhika, N. and Saleh, B. (2021), "A critical review on functionally graded coatings: Methods, properties, and challenges", Compos. Part B: Eng., 225, 1359-8368. https://doi.org/10.1016/j.compositesb.2021.109278.
  29. Su, J., Ke, L.L. and Wang, Y.S. (2015), "Two-dimensional fretting contact analysis of piezoelectric materials", Int. J. Solid. Struct., 73, 41-54. https://doi.org/10.1016/j.ijsolstr.2015.07.026.
  30. Yang, J. and Ke, L.L. (2008), "Two-dimensional contact problem for a coating- graded layer- substrate structure under a rigid cylindrical punch", Int. J. Mech. Sci., 50, 985-994. https://doi.org/10.1016/j.ijmecsci.2008.03.002.
  31. Yaylaci, M., Abanoz, M. and Yaylaci, E.U. (2022), "Evaluation of the contact problem of functionally graded layer resting on rigid foundation pressed via rigid punch by analytical and numerical (FEM and MLP) methods", Arch. Appl. Mech., 92, 1953-1971. https://doi.org/10.1007/s00419-022-02159-5.
  32. Yaylaci, M., Eyuboglu, A., Adiyaman, G., Yaylaci, E.U., Oner, E. and Birinci, A. (2021), "Assessment of different solution methods for receding contact problems in functionally graded layered mediums", Mech. Mater., 154, 103730. https://doi.org/10.1016/j.mechmat.2020.103730.
  33. Yaylaci, M. and Avcar, M. (2020), "Finite element modeling of contact between an elastic layer and two elastic quarter planes", Comput. Concrete, 26(2), 107-114. https://doi.org/10.12989/cac.2020.26.2.107.
  34. Zhang, X.C., Xu, B.S., Wang, H.D., Wu, Y.X. and Jiang, Y. (2007), "Hertzian contact response of single-layer, functionally graded and sandwich coatings", Mater. Des., 28, 47-54. https://doi.org/10.1016/j.matdes.2005.06.018.