Material Nonlinear Static Analysis of Axially Functionally Graded Porous Bar Elements
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Tehran, Danishgah-I Tihran
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This investigation presents material nonlinear analysis of a cantilever bar element made of functionally graded material with porosity properties. The material properties of bar element are considered as changing though axial direction based on the Power -Law distribution and uniform porosity distribution. The stress -strain relation of the material is considered as a nonlinear property according to a Power -Law function. The cantilever bar element is subjected to a point load at the free end. In order to obtain more realistic solution for the nonlinear problem and axially material distribution, nonlinear finite element method is used. In the obtaining of finite element equations, the virtual work principle is used and, after linearization step, the tangent stiffness matrix and residual vector are obtained. In the nonlinear solution process, the incremental force method is implemented and, each load step, the nonlinear equations are solved by using the Newton-Raphson iteration method. In the numerical results, effects of material nonlinearity parameters, porosity coefficients, material distribution parameter and aspect ratios on nonlinear static deflections of the bar are presented and discussed. The obtained results show that the material nonlinear behaviour of the bar element is considerably affected with porosity and material graduation.
Açıklama
Anahtar Kelimeler
Porosity, Material Nonlinearity, Functionally Graded Materials, Nonlinear Solution, Finite Element Method
Kaynak
Journal of Computational Applied Mechanics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
55
Sayı
2
