Category Ranking
98%
Total Visits
921
Avg Visit Duration
2 minutes
Citations
20
Article Abstract
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. The investigation focuses on how crack parameters and material gradient coefficients affect vibration characteristics in exponentially graded FGM plates. The results show that natural frequencies decrease with increasing crack length, while crack presence alters nodal line patterns and mode symmetry. During free vibration, the upper and lower surfaces of the crack region exhibit relative displacement. Material gradient effects induce thickness-direction asymmetry, causing non-uniform displacements between the plate's upper and lower sections.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC12387506 | PMC |
| http://dx.doi.org/10.3390/ma18163868 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Dynamical Characterization of Plates Containing Plane Cracks with Functional Gradient Materials.
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 PDFDeterministic and stochastic free vibration analysis of CNT reinforced functionally graded cantilever plates.
Sci 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 PDFEffect of EDTA and silane on the bond strength of cementing agents of glass fiber posts to root dentin.
J 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.
In-Plane Vibration Analysis of Rectangular Plates with Elastically Restrained Boundaries Using Differential Quadrature Method of Variational Weak Form.
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 PDFCalculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods.
Materials (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.
View Article and Find Full Text PDF