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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.     
Yazarlar
Öğr. Gör. Merve ABANOZ Öğr. Gör. Merve ABANOZ
Kastamonu Üniversitesi, Türkiye
Ahmet Birinci
Karadeniz Teknik Üniversitesi, Türkiye
Murat Yaylacı
Recep Tayyip Erdoğan Üniversitesi, Türkiye
Ecren Uzun Yaylacı
Türkiye
Hasan Ölmez
Türkiye
Dursun Murat Sekban
Türkiye
Özet
In this paper, frictionless contact problem for a functionally graded (FG) layer is considered. The FG layer is subjected to load with a rigid punch and the FG layer is bonded on a rigid foundation. Analysis of this contact problem was carried out by analytical method, finite element method (FEM) and multilayer perceptron (MLP), comparatively. The main target of this study is to investigate the applicability of MLP analysis for frictionless contact problem of FG layer bonded on a rigid foundation. Analytical solution of the problem is based on the theory of elasticity and integral transform techniques. The physical contact problem is transformed to mathematical system of integral equation. The integral equation in which the contact pressures are unknown functions is numerically solved with the Gauss–Jacobi integration formulation. Finite element analysis of the problem is carried out with ANSYS software by using the two-dimensional modeling technique. Finally, MLP analysis has been used to obtain the contact distances of the problem. Three-layer MLP was used for this calculation. Material properties and loading conditions were created by giving examples of different values in MLP training and testing stages. Program code was rewritten in C++. As a result, average deviation values such as 1.67 and 0.885 were obtained for FEM and MLP, respectively. It has been determined that the contact areas and contact stresses obtained from FEM and MLP are quite compatible with the results obtained from the analytical method.
Anahtar Kelimeler
Contact mechanics | Finite element method | Functionally graded layer | Multilayer perceptron | Theory of elasticity
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ARCHIVE OF APPLIED MECHANICS
Dergi ISSN 0939-1533
Dergi Tarandığı Indeksler SCI
Makale Dili İngilizce
Basım Tarihi 06-2022
Cilt No 92
Sayı 6
Sayfalar 1953 / 1971
Doi Numarası 10.1007/s00419-022-02159-5