Article
Polymer Science
Jin-Rae Cho, Young-Ju Ahn
Summary: This paper numerically investigates the mechanical behavior of a functionally graded carbon nanotube-reinforced composite plate. The displacement is approximated using a hierarchical model and 2-D meshfree natural element method, and the effective elastic properties are determined by referring to MD simulation and the linear rule of mixtures. The study examines the effects of CNT volume fraction and distribution, plate geometry, and boundary conditions on the bending, vibration, and buckling behaviors of FG-CNTRC plates. The results highlight the significant dependence of the mechanical behavior on these parameters.
Article
Mechanics
Ngoc-Duong Nguyen, Thien-Nhan Nguyen, Trung-Kien Nguyen, Thuc P. Vo
Summary: This paper introduces a simple two-variable shear deformation theory for functionally graded porous beams and investigates the effects of various factors on the frequency, buckling load, deflection, and stress of the beams. The theory considers different boundary conditions and porosity parameters to predict the behaviors of the beams.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Mojtaba Farrokh, Mohammad Taheripur, Erasmo Carrera
Summary: This paper investigates the thermal buckling of metal-ceramic functionally graded plates, and formulates the problem using a higher-order plate theory and linearized buckling analysis method. The optimization results show that the degrees of freedom associated with the composition distribution have a significant influence on the critical buckling temperature of the plate.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Civil
Lulu Shen, Jiayi Wang, Dan Lu, Weiqiu Chen, Bo Yang
Summary: This paper investigates the flexural responses of transversely isotropic functionally graded annular sector plates subjected to biharmonic loads. Analytical solutions are derived based on the extended England-Spencer plate theory and validated using a finite element model. The results show good agreement between the analytical and numerical solutions. The effects of material gradient index, boundary conditions, and thickness-to-radius ratio on the flexural responses of the plate are discussed using numerical examples.
ENGINEERING STRUCTURES
(2022)
Article
Construction & Building Technology
Gulshan Taj Mohammed Nabi Anwarbasha, Anupam Chakrabarti, Alireza Bahrami, Vasugi Venkatesan, Abdhullapuram Sachidhanandam Vijay Vikram, Jeyabharathi Subramanian, Vutukuru Mahesh, Hossam El-Din Mohammad Sallam, Fabrizio Greco
Summary: The analysis of functionally graded material plates/shells is crucial for predicting their responses in different environments. This study used a generalized four-parameter law to model the materials and considered both symmetric and non-symmetric configurations. The results showed that the symmetric configurations exhibited better performance.
Article
Mechanics
Peng Shi
Summary: This study investigates the static bending, free vibration, and buckling behaviors of functionally graded carbon nanotube-reinforced composite plates using isogeometric analysis. The accuracy of the method is validated through comparison with published literature. Additionally, the effects of CNT volume fractions, distributions, geometrical parameters, and boundary conditions on the plates are explored.
ARCHIVE OF APPLIED MECHANICS
(2022)
Article
Mechanics
Armagan Karamanli, Thuc P. Vo
Summary: This paper investigates the size-dependent responses of functionally graded porous microbeams using quasi-3D theory and modified strain gradient theory. Different porosity distribution models are considered and the effects of various factors on the structural responses are analyzed. The significant impact of variable material length scale parameters (MLSPs) is highlighted for accurate analysis.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Andrzej Teter, Zbigniew Kolakowski
Summary: This study investigates the multimodal buckling phenomenon of wide stiffened plates made of Functionally Graded Materials (FGM) under uniform compression. It is found that the stiffness of the stiffeners significantly affects the ultimate load-carrying capacity of the structure when the eigenvalues of the global mode and the lowest local mode are comparable.
THIN-WALLED STRUCTURES
(2022)
Article
Mechanics
Armagan Karamanli
Summary: This study investigates the structural responses of three directional functionally graded microplates using the modified couple stress theory and finite element method, considering variations in material properties and porosity in different spatial directions. Numerical examples demonstrate the effects of material properties and porosity on the deflections, natural frequencies, and buckling loads of the microplates.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
J. F. Wang, S. Q. Shi, J. P. Yang, W. Zhang
Summary: This paper employs a molecular dynamics (MD)-based multiscale analysis to investigate the free vibration of graphene reinforced laminated composite plates from the atomic scale to the macroscopic behavior. The study combines the simulation of material properties at the atomic scale and the response of structure at the macro scale, providing a feasible way to study the vibration behavior of composite structures.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mechanics
Kushal Jana, Subham Pal, Salil Haldar
Summary: This article analyzes rectangular functionally graded material plates with rectangular cutouts of diverse sizes, numbers, and positions for free vibration using Mindlin's first-order shear deformation theory (FSDT). Isoparametric plate elements of nine nodes and five degrees of freedom at each node were used for the present finite element formulation. The Poisson ratio is assumed to be constant throughout the plate. The study considers various factors such as shapes, sizes, numbers, positions of cutouts, thickness ratio, aspect ratio, FGM power law index, and different edge conditions to obtain new results.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Construction & Building Technology
Fethi Mouaici, Abed Bouadi, Mohamed Bendaida, Kada Draiche, Abdelmoumen Anis Bousahla, Fouad Bourada, Abdelouahed Tounsi, Mofareh Hassan Ghazwani, Ali Alnujaie
Summary: This paper develops an accurate kinematic model to study the mechanical response of functionally graded sandwich beams, covering bending, buckling, and free vibration problems. The model uses a new refined shear deformation beam theory and provides good accuracy, considering a nonlinear transverse shear deformation shape function. The numerical computations using the model are compared with other beam theories to confirm its performance and verify the accuracy of the kinematic model.
STEEL AND COMPOSITE STRUCTURES
(2022)
Article
Engineering, Civil
Armagan Karamanli, Nuttawit Wattanasakulpong, M. Lezgy-Nazargah, Thuc P. Vo
Summary: The flexural, free vibration, and buckling responses of 2D-FG curved beams with various shear deformation theories are studied using a finite element model. Material properties are varied with power-law distribution in both length and thickness directions. A two-node beam element with C1 continuity requirement is employed for solving the problems. Various problems including isotropic, 1D- and 2D-FG curved beams are analyzed and the results are validated with those available in the literature. Comprehensive parameter examinations are conducted to investigate the effects of gradation indexes, open angles, end conditions, and aspect ratios on the structural behaviors of 2D-FG curved beams.
Article
Engineering, Multidisciplinary
Pham Van Vinh, Le Quang Huy
Summary: This study establishes a finite element model based on a new hyperbolic sheareformation theory to investigate the static bending, free vibration, and buckling of functionally graded sandwich plates with porosity. The results show that the distribution of porosity plays a significant role in the mechanical behavior of functionally graded sandwich plates.
DEFENCE TECHNOLOGY
(2022)
Article
Engineering, Civil
Wenbin Ye, Jun Liu, Jing Zhang, Fan Yang, Gao Lin
Summary: This paper presents a study on bending response, free vibration, and mechanical buckling of functionally graded material (FGM) plates using the scaled boundary finite element method (SBFEM) for the first time. The method employs high order spectral elements with three degrees of freedom per node to ensure accuracy and reduce computational cost. By eliminating the need for numerical approximations in the thickness direction, the approach provides an accurate solution for displacement in the thickness direction while strictly following the 3D theory of elasticity. Comparisons with analytical and numerical solutions from other researchers confirm the accuracy and computational efficiency of the proposed formulations.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Mehmet N. Balci, Serkan Dag
APPLIED MATHEMATICAL MODELLING
(2020)
Article
Engineering, Mechanical
Ata Donmez, Ender Cigeroglu, Gokhan O. Ozgen
NONLINEAR DYNAMICS
(2020)
Article
Engineering, Mechanical
Siar Deniz Yavuz, Zihni Burcay Saribay, Ender Cigeroglu
NONLINEAR DYNAMICS
(2020)
Article
Mathematics, Applied
Iman Eshraghi, Serkan Dag
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2020)
Article
Materials Science, Multidisciplinary
Reza Aghazadeh
Summary: The current study investigates the torsional vibrations of bi-directional functionally graded small-scale tubes. The size effect is captured using the modified couple stress theory, and the material properties are characterized by specific functions. A model including governing equations and boundary conditions is developed using Hamilton's principle. Numerical results show the effects of material and geometric parameters on natural frequencies and highlight the significant influence of the length scale parameter on the natural frequencies.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Acoustics
Veysel Yalin Ozturk, Ender Cigeroglu, H. Nevzat Ozguven
Summary: The study aims to investigate the effects of tooth profile modifications (TPMs) on planetary gear trains (PGTs) through parametric studies, proposing a nonlinear dynamic model considering time-varying stiffness and utilizing experimentally measured loaded static transmission error (LSTE) for dynamic modeling. Parametric studies using the mathematical model reveal the relationships between various modal characteristics of PGTs and the effectiveness of TPMs in detail.
JOURNAL OF SOUND AND VIBRATION
(2021)
Article
Engineering, Mechanical
Saeed Lotfan, Mirmeysam Rafiei Anamagh, Bekir Bediz, Ender Cigeroglu
Summary: The current study aimed to develop an accurate model to investigate nonlinear resonances in an axially functionally graded beam rotating with time-dependent speed. Stiffening and Coriolis effects were modeled based on nonlinear strain relations, and equations governing deformations and rotating speed variation were obtained. Multi-mode discretization and spectral Chebyshev approach were used to study the nonlinear behavior, and results were validated through literature comparison and numerical simulations. The study found properties of functionally graded material and values of average rotating speed leading to internal resonance in the system, showing complex nonlinear behavior under rotating speed fluctuation.
NONLINEAR DYNAMICS
(2022)
Article
Materials Science, Multidisciplinary
Selim E. Toktas, Serkan Dag
Summary: This paper presents a multi-layer model for moving contact problems of functionally graded coatings. The model takes into account general property distributions in the coating and derives wave equations for the layers and the substrate. The results demonstrate the influences of factors such as punch speed, coefficient of friction, and material property variation on contact stresses and punch stress intensity factors.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART L-JOURNAL OF MATERIALS-DESIGN AND APPLICATIONS
(2022)
Article
Engineering, Mechanical
Selim E. Tokta, Serkan Dag
Summary: This article presents analytical solution procedures for moving Hertzian contact problems involving multi-layer and functionally graded coatings. The developed procedures are verified through comparisons to the findings available in the literature. Numerical results illustrate the influences of factors on the contact stresses and the required contact force.
TRIBOLOGY INTERNATIONAL
(2022)
Article
Mechanics
Hamed Samandari, Ender Cigeroglu
Summary: In recent years, there has been growing interest in using nonlinear normal modes (NNMs) to interpret various nonlinear dynamic phenomena. This study introduces a simple and efficient computational framework to compute NNMs of large order nonlinear structures, overcoming challenges associated with commonly used methods. The developed Receptance Based Nonlinear Normal Mode Calculation Method (RBNM) successfully determines NNMs in the frequency domain, using the Describing Function Method (DFM) to model the internal nonlinear forcing vector. The unique matrix manipulation approach based on dynamic stiffness and receptance concepts provides a significant computational advantage over classical reduced order modeling techniques.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Abdelrahim Abeidi, Serkan Dag
Summary: A computational technique based on domain-boundary element method is developed to analyze the elastodynamics of functionally graded thick-walled cylinders and annular coatings subjected to pressure shock loadings. The numerical results illustrate the influence of material property gradation on the time histories and spatial distributions of displacement and stress components.
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
(2022)
Article
Materials Science, Multidisciplinary
Saeed Lotfan, Demir Dedekoy, Bekir Bediz, Ender Cigeroglu
Summary: This study introduces the Spectral Chebyshev Technique (SCT) for nonlinear vibrations of rotating beams. It provides a fast and accurate solution for linear vibrations of complex structures, and is also capable of analyzing the nonlinear vibration behavior of continuous systems. The method takes into account rotational motion and material gradation, which further complicates the nonlinear behavior.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Engineering, Mechanical
Reza Aghazadeh
Summary: This study addresses the dynamic problem of axially functionally graded fluid conveying cantilevered pipes and discusses the effects of gravity, longitudinal phase distribution profile, and flow velocity on the dynamics and stability of the system. The model is solved using the Galerkin method and numerical results are generated to analyze the influences. The determination of critical flow velocity at which instability occurs is also emphasized.
JOURNAL OF THE CHINESE SOCIETY OF MECHANICAL ENGINEERS
(2022)
Article
Multidisciplinary Sciences
Reza Aghazadeh
Summary: The aim of this study is to propose a new model for analyzing the stability of axially functionally graded micro-pipes conveying fluid. The modified couple stress theory is employed to consider the scale effects and Hamilton's principle is used to derive the governing formulation. Through detailed numerical investigations, the influences of size, material distribution, geometrical aspects, and fluid velocity on the stability of these micro-pipes have been elucidated. The developed procedures also enable the determination of the critical flow velocity, which is important for designing small-scale pipes.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2022)
Article
Mechanics
I. Eshraghi, S. Dag
Summary: A domain-boundary element method based on modified couple stress theory is developed for transient dynamic analysis of functionally graded micro-beams. The method converts governing partial differential equations of motion into a set of coupled integral equations, which are then solved using the Houbolt time marching scheme. Numerical results show that metal-rich micro-beams and those with a smaller length scale parameter ratio exhibit higher displacements and larger normal stresses.
ARCHIVES OF MECHANICS
(2021)
