Sep 2026· International Journal of Applied Mechanics· 0 citations
Abstract
The free vibration analysis of a bidirectional functionally graded (2D-FG) curved structure with a through-thickness longitudinal central crack is performed in the current analysis. The model employs higher-order displacement theory for kinematics, taking into consideration both situations with even and uneven porosity. The three grading patterns-exponential, sigmoid and power law distributions are included to depict the material variation through the axial and thickness directions. Using Hamilton's principle, the governing equations of the porous FG structure are obtained and subsequently solved through the isoparametric finite element method (FEM). The sensitivity of the predicted results is proven through convergence, and accuracy is validated by comparing with published data. This study aims to calculate the natural frequencies for various geometrical configurations and to examine how the crack-to-length ratio, power-law exponents (n
x
, n
z
), porosity index, aspect ratio, porosity distribution type (even or uneven), thickness ratio, curvature ratio, and boundary conditions influence the free vibration characteristics of the FG panel.
This paper investigates multiple embedded curved cracks in a functionally graded piezoelectric (FGP) strip. In order to compute Mode I/II stress intensity factors (SIFs) and electric displacement intensity factor (EDIF), distributed dislocation technique (DDT) is employed. It is assumed that the mechanical properties...
Mojtaba Mahmoudi Monfared, Ali Khodagholi· Fatigue & Fracture of En...· 0 citations
The main purpose of this paper is to investigate the spatial bending and free vibration behaviors of functionally graded (FG) beams with varying thickness. For FG beams consisting of two material components, two types of material mixing rules are assumed: the material properties for the first type vary along the thickn...
Ju Hyang Kim, Myong Jin Paek, S. Kwak et al.· International Journal of Str...· 0 citations
This study presents a modified variational modeling method for the flexural–torsional buckling of functionally graded porous (FGP) curved beams. Unlike conventional methods that rely on strictly admissible functions, the proposed framework accommodates arbitrary orthogonal polynomial basis functions and segment-wise...
Ying Tian, Shou-Xiang Ma, Wei Liu et al.· Journal of Structural Engine...· 0 citations
This work provides an in‐depth investigation into wave propagation in functionally graded material (FGM) beams subjected to coupled thermo‐hygro‐mechanical loading. The proposed model explicitly accounts for the presence of cracks, material porosity, axial pre‐stress, and combined temperature–moisture gradients, whic...
Slimane Debbaghi, M. Dahmane, Mohammed el Amin Bourouis et al.· Fatigue & Fracture of En...· 0 citations
Background/Aim: This study develops and verifies a finite-difference formulation for the linear buckling analysis of rectangular power-law functionally graded material (P-FGM) plates, based on first-order shear deformation theory (FSDT). The aim is to provide an accurate, computationally efficient numerical approach fo...
Khaled Benmahdi, Ali Meksi, Mohamed Sadoun et al.· Vojnotehnički Glasnik· 0 citations
