Yazarlar
Yayınlar
- MakaleYalnız künye2025Scopus SJRQ2A shear deformable numerical approaches for the static analysis of bi-directional functionally graded beams
Turan, Muhittin; Kahya, Volkan; Yaylacı, Ecren Uzun; Yaylacı, Murat
This paper introduces a highly accurate and computationally efficient shear deformable finite element model for the static analysis of bi-directional functionally graded beams (BD-FGBs) with various boundary conditions grounded in the first-order shear deformation theory (FSDT). The model, featuring ten degrees of freedom across five nodes, excels in capturing both axial and shear deformations with remarkable precision while maintaining a streamlined formulation. In a novel approach, Artificial Neural Network (ANN) methods are also employed alongside the finite element analysis, offering a dual-method investigation into the static behavior of BD-FGBs. This paper aims to further advance the understanding of BD-FGM beams by exploring their static behavior under diverse loading conditions and boundary constraints, employing advanced finite element methods and artificial neural network techniques. The material properties are modeled through power-law distributions, and the governing equations are derived from Lagrange’s principle. Displacements and stresses were computed under different boundary conditions (BCs), slenderness ratios (L/h), and power-law indices (px, pz). Comparative analysis with existing literature reveals the superior suitability of the proposed finite element model for static analysis, while the ANN approach further reinforces its potential as a robust, complementary tool. The innovative combination of these methods promises to offer significant contributions to the field and provides new insights into the behavior of BD-FGBs under static loads.
AtıfScopus20WoS24OpenAlex3
İncele - MakaleYalnız künye2023Scopus SJRQ1A New Higher-Order Finite Element for Static Analysis of Two-Directional Functionally Graded Porous Beams
Turan, Muhittin; Adiyaman, Gokhan
A new higher-order finite element for the static analysis of two-directional functionally graded (2D FG) porous beams subjected to various boundary conditions based on parabolic shear deformation theory (PSDT) is presented. The main purpose of this study is to predict the deflections and stresses of 2D FG porous and non-porous beams with the help of the proposed finite element. Since a higher-order finite element with a third order polynomial is used, the deflections and stresses can be accurately and rapidly obtained even for short beams. In addition, the new higher-order element is free of shear locking phenomenon without requiring any shear correction factors. Three types of distribution functions were used for porosity in this study. To the author's knowledge, the sinusoidal uneven distribution function (FGP-3) is presented for the first time. The governing equations are derived by Lagrange’s principle using a parabolic shear deformation theory that considers normal and shear deformations. According to a power-law rule, the material change in the beam volume in both directions is defined. The dimensionless maximum transverse deflections, normal stresses, and shear stresses are obtained for various boundary conditions, gradation exponents (px, pz) in the x- and z-directions, porosity coefficient (e), porosity distribution (FGP-1, FGP-2, FGP-3), and the slenderness (L/h). This study's new higher-order finite element gives results compatible with the literature and it can be used to accurately find the deflections and stresses for the 2D FG non-porous or porous beams subjected to various boundary conditions.
AtıfScopus30WoS28OpenAlex26İncele