Yazarlar

  • Yüksek Lisans TeziAçık Erişim2023
    İzotrop yarım düzleme oturan ortotrop tabakanın sürekli temas problemi

    Mine Gül Oktay

    Temas mekaniği, güvenli ve enerji tasarruflu tasarımların inşası için vazgeçilmez olan mühendislik bilimlerinin temel disiplinlerindendir ve geniş teorik, sayısal ve deneysel araştırma alanını kapsamaktadır. Bu özelliğiyle mekaniğin önemli bir dalıdır ve halen de bu önemini sürdürmektedir. Temas mekaniği özellikle konvansiyonel olarak dökme malzemelerden imal edilen tribolojik ve yük aktarma düzeneklerinde öne çıkmaktadır. Mekanikte temas problemlerinin incelenmesini, varyasyonel eşitsizliklerin formülasyonu ve çözümü ile ilişkilendirmek mümkündür. Temas mekaniği konusu, son yıllarda mekanik ve uygulamalı matematik bilimlerinde yeni ve ilginç alanların gelişmesine önemli derecede katkı sağlamıştır. Debriyajlar, frenler, yol kaplamaları, lastikler, bilyalı rulmanlar, fren diskleri, menteşeler, demiryolu balastları, temeller gibi sayısız uygulama temas problemlerinin ilgi alanına girmektedir. Bu çalışmada izotrop yarım düzlem üzerine oturan ortotrop tabakanın sürekli temasına ilişkin problem incelenmiştir. Çözümde sadece ortotrop tabakanın kütle kuvveti hesaba katılmıştır. Ortotrop tabaka rijit bir panç vasıtasıyla yüklenmiştir. Tüm yüzeylerin sürtünmesiz olduğu varsayılmıştır. Çalışma sonucunda çeşitli boyutsuz parametrelere ve ortotrop malzeme türlerine bağlı olarak temas uzunluğu, temas gerilmesi, kritik ayrılma uzaklığı ve kritik ayrılma yükü boyutsuz olarak elde edilmiştir.

  • MakaleYalnız künye2021Scopus SJRQ1
    Frictionless contact mechanics of an orthotropic coating/isotropic substrate system

    Öner, Erdal

    This study has been performed to investigate the receding contact problem of a homogeneous orthotropic coating that is not bonded to a homogeneous isotropic substrate without any interfacial defects. The isotropic substrate is supported on a Winkler foundation. The problem is solved assuming that the contact between the rigid punch and orthotropic coating, and that between the orthotropic coating and isotropic substrate, are frictionless. Additionally, the effect of the body forces is neglected, and only compressive normal tractions can be transmitted through the interfaces. The contact analysis of the orthotropic coating, which is subjected to a contact load using a rigid cylindrical punch, is performed under plane strain conditions. The governing equations are analytically found using the theory of elasticity and Fourier integral transformation techniques. Subsequently, the governing equations are reduced to a system of two singular equations, wherein the unknowns are the contact stresses and contact widths. To numerically solve the resulting singular integral equations, Gauss-Chebyshev integration formulas are employed. It is analyzed the influence of the following parameters on the contact stresses and contact widths: orthotropic-material properties, punch radius, load ratio, Winkler foundation stiffness.

    AtıfScopus26WoS26OpenAlex10
    ScopusWeb of Scienceİncele
  • MakaleYalnız künye2017Scopus SJRQ3
    Continuous contact problem of a functionally graded layer resting on an elastic half-plane

    Öner, E.; Adiyaman, G.; Birinci, A.

    In this study, the continuous contact problem of a functionally graded layer resting on an elastic half-plane and loaded by a rigid rectangular stamp is examined. The problem is solved assuming that the functionally graded (FG) layer is isotropic and the shear modulus and mass density vary exponentially throughout the layer's thickness. However, the body force of the elastic half-plane is neglected. In addition, it is assumed that all surfaces are frictionless and only compressive stress is transferred along the contact surfaces. The mathematical problem is reduced to a singular integral equation in which the contact stress under the rigid stamp is unknown using the Fourier integral transform and boundary conditions related to the problem. This singular integral equation is solved numerically using the Gauss-Chebyshev integration formula. The dimensionless contact stress under the rigid stamp, the initial separation loads and the initial separation distances between the FG layer and the elastic half-plane are obtained for various dimensionless quantities.

    AtıfScopus26
    Scopusİncele
  • MakaleYalnız künye2015Scopus SJRQ2
    Analytical solution of a contact problem and comparison with the results from FEM

    Öner, Erdal; Yaylaci, Murat; Birinci, Ahmet

    This paper presents a comparative study of analytical method and finite element method (FEM) for analysis of a continuous contact problem. The problem consists of two elastic layers loaded by means of a rigid circular punch and resting on semi-infinite plane. It is assumed that all surfaces are frictionless and only compressive normal tractions can be transmitted through the contact areas. Firstly, analytical solution of the problem is obtained by using theory of elasticity and integral transform techniques. Then, finite element model of the problem is constituted using ANSYS software and the two dimensional analysis of the problem is carried out. The contact stresses under rigid circular punch, the contact areas, normal stresses along the axis of symmetry are obtained for both solutions. The results show that contact stresses and the normal stresses obtained from finite element method (FEM) provide boundary conditions of the problem as well as analytical results. Also, the contact areas obtained from finite element method are very close to results obtained from analytical method; disagree by 0.03-1.61%. Finally, it can be said that there is a good agreement between two methods.

    AtıfScopus84WoS84OpenAlex35
    ScopusWeb of Scienceİncele