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This paper presents a finite element formulation to study the mechanical buckling of stiffened functionally graded material (FGM) plates. The approach is based on a third-order shear deformation theory (TSDT) introduced by Guangyu Shi. The material properties of the plate were assumed to be varied in the thickness direction by a power law distribution, but the material of the stiffener was the same as that of the one of the bottom surface where the stiffener was placed. A parametric study was carried out to highlight the effect of material distribution, the thickness-to-width ratio, and stiffener parameters on the buckling characteristics of the stiffened FGM plates. Numerical results showed that the addition of stiffener to the FGM plate could significantly reduce the weight of the FGM plate but that both the FGM plates with and without stiffener had equally high strength in the same boundary condition and compression loading.
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http://dx.doi.org/10.3390/ma12081262 | DOI Listing |
Materials (Basel)
August 2025
School of Aerospace Engineering, North University of China, Taiyuan 030051, China.
This study develops a vibration model for functionally graded material (FGM) plates with embedded planar cracks. Based on thin plate theory and von Kármán-type geometric nonlinear strain assumptions, the kinetic and potential energies of each region are derived. Displacement field trial functions are constructed according to boundary conditions, and the Ritz method is employed to determine natural frequencies and vibration modes under small deformation conditions.
View Article and Find Full Text PDFSci Rep
August 2025
Department of Mechanical Engineering, Parul Institute of Engineering & Technology, FET, Parul University, Vadodara, India.
This paper presents both deterministic and stochastic free vibration analyses of carbon nanotube (CNT)-reinforced multi-layered functionally graded material (FGM) cantilever plates. The reinforcement varies linearly following a power-law distribution. The governing equation is derived using the first-order shear deformation theory (FSDT), while the rule of mixtures is applied to determine the effective elastic modulus, mass density, and Poisson's ratio of the CNT-reinforced FGM plate.
View Article and Find Full Text PDFJ Clin Exp Dent
July 2025
DDS, MsD, PhD. Department of Endodontics, Faculty of Dentistry, University of Fortaleza, Fortaleza, Ceará, Brazil.
Background: This study aimed to evaluate the effect of dentin pre-treatment with EDTA and silanization of glass fiber posts on the bond strength of different resin cements to root dentin.
Material And Methods: Fifty-six extracted single-rooted human teeth received endodontic treatment and were restored with White Post DC (FGM) 0.5 fiber posts.
Materials (Basel)
July 2025
School of Science, Changzhou Institute of Technology, Changzhou 213032, China.
An efficient numerical approach utilizing a variational weak form, grounded in 2D elastic theory and variational principles, is proposed for analyzing the in-plane vibrational behavior of rectangular plates resting on elastically restrained boundaries. The differential and integral operators can be discretized into matrix representations employing the differential quadrature method (DQM) and Taylor series expansion techniques. The discretization of dynamics equations stems directly from a weak formulation that circumvents the need for any transformation or discretization of higher-order derivatives encountered in the corresponding strong equations.
View Article and Find Full Text PDFMaterials (Basel)
June 2025
Department of Mechanical Engineering, National Kaohsiung University of Science and Technology, No.415, Jiangong Rd, Sanmin Dist, Kaohsiung 807618, Taiwan.
In the field of crack mechanics, predicting the direction of a crack is important because this will evaluate whether, when the crack propagates, it penetrates into important areas and whether the structure is dangerous or not. This paper will refer to three theories that predict the propagation direction of cracks: a theory of maximum tangential normal stress, a theory of maximum energy release, and a theory of minimum strain energy density. At the same time, the finite element method (FEM)-ANSYS program will be used to calculate stress intensity factors (SIFs), strain energy release rate (J-integral), stress field, displacement near a crack tip, and crack propagation phenomenon based on the above theories.
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