Analysis of the contact problem functionally graded layer placed on a Pasternak foundation

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Yazıcıoğlu A., Yaylacı M., Sekban D. M., Kuleyin H., Uzun Yaylacı E., Birinci A.

ZAMM ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK, cilt.105, sa.8, ss.1-23, 2025 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 105 Sayı: 8
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/zamm.70152
  • Dergi Adı: ZAMM ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1-23
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

This paper uses analytical and numerical methods to investigate the frictionlessreceding contact problem of two layers, one functionally graded (FG), loaded bya circular rigid block and resting on a Pasternak foundation. The upper layerloaded by the circular punch has homogeneous properties and contains a singleshear modulus, while the shear modulus of the bottom layer is changed depend-ing on an exponential function, making it an FG layer. In the solution, Poisson’sratios of both layers are assumed to be constant, and their weights are neglected.First, the overview of the topic, the existing studies in the literature, and the gapsin these studies are discussed. Then, an analytical solution is performed usingthe theory of elasticity and the Fourier integral transform techniques. The prob-lem is modeled, and a numerical solution is obtained using the ANSYS packageprogram based on the finite element method (FEM). Finally, the two methodsare compared, and the results are presented using tables and graphs. Comparinganalytical and numerical (FEM) solutions for the frictionless receding contactproblem involving a FG layer resting on a Pasternak foundation is the main goalof this study.1 INTRODUCTIONContact problems, commonly encountered in engineering and mechanics, examine situations in which two or moresolid bodies interact with each other. These problems involve complex issues such as stress distributions, deformations,and analyses of frictional effects that occur in the areas where surfaces come into contact. Numerous researchers haveThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided theoriginal work is properly cited.© 2025 The Author(s). ZAMM - Journal of Applied Mathematics and Mechanics published by Wiley-VCH GmbH.Z Angew Math Mech. 2025;105:e70152. www.zamm-journal.org 1 of 23https://doi.org/10.1002/zamm.70152