Article
Engineering, Civil
Quoc-Hoa Pham, Parviz Malekzadeh, Van Ke Tran, Trung Nguyen-Thoi
Summary: In this study, a two-node beam element enriched based on the Lagrange and Hermite interpolation function is proposed to solve the governing equation of a functionally graded porous (FGP) curved nanobeam on an elastic foundation in a hygro-thermo-magnetic environment. The material properties of curved nanobeams change continuously along the thickness via a power-law distribution, and the porosity distributions are described by an uneven porosity distribution.
FRONTIERS OF STRUCTURAL AND CIVIL ENGINEERING
(2023)
Article
Mechanics
Shupeng Sun, Chao Guo, Weiming Feng, Dengqing Cao
Summary: This paper investigates the nonlinear vibration analysis of carbon-nanotube reinforced functionally graded composite (FG-CNTRC) cylindrical shells resting on elastic foundations. The distribution patterns and stiffness of the elastic foundations are considered, and the nonlinear behaviors of the shells are analyzed using the harmonic balance method and the arc length continuation technique. The study also explores the chaotic vibrations resulting from 1:1 internal resonance.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Engineering, Mechanical
Zhiyuan Li, Yepeng Xu, Dan Huang
Summary: This study presents an efficient approach for obtaining accurate solutions for free vibration of functionally graded beams with variable cross-sections on Pasternak elastic foundations. The method is validated through analysis of several typical examples, offering a potential alternative for vibration analysis of functionally graded components in modern mechanical systems with ultra-high precision requirements. The study further analyzes the effects of geometric and mechanical parameters on the vibration frequency and mode shapes of FGB with variable cross-sections resting on Pasternak elastic foundations.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Quoc-Hoa Pham, Trung Thanh Tran, Van Ke Tran, Phu-Cuong Nguyen, Trung Nguyen-Thoi, Ashraf M. Zenkour
Summary: This study utilized the finite element method and four-unknown shear deformation theory to conduct static bending and hygro-thermo-mechanical vibration analysis on sandwich functionally graded porous doubly curved nanoshells supported on an elastic foundation. A new element approximation method was proposed, and the effects of various geometrical parameters and material properties on the nanoshells were investigated.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Emad Sobhani, Babak Safaei
Summary: This study provides the first investigation into the vibrational responses of nanocomposite conical shells made from graphene oxide powder (GOP) and supported by Winkler and Winkler-Pasternak flexible bases. Two graded forms and a uniform distribution of GOP are used, and the rule of mixture and Halpin-Tsai concepts determine the effective values of the nanocomposite. The Winkler and Winkler-Pasternak flexible models simulate the interaction between the structure and foundations, and the Donnell's shell and first-order shear deformation schemes are employed to determine the essential connections of the nanocomposite structure.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Thermodynamics
Nguyen Thi Giang, Nguyen Thi Hong
Summary: This study presents a finite element formulation for the hygro-thermal-mechanical stability analysis of variable thickness functionally graded sandwich porous plates. The study explores the effects of porosity distribution, thermo-humidity environment, and variable thickness elastic foundation on the stability of the plates.
JOURNAL OF THERMAL STRESSES
(2022)
Article
Mechanics
Tetyana Shmatko, Lidiya Kurpa, Jan Awrejcewicz
Summary: This study investigates the free vibrations of shallow sandwich shells supported by elastic foundations. The shell is assumed to be composed of three layers with defined thickness, where the core is made of ceramics or metal while the upper and lower layers are made of functionally graded material. The volume fractions of metal and ceramics are described using a power law. The study applies higher-order shear deformation shell theory and R-functions theory combined with the variational Ritz method to analyze shells with arbitrary planforms. Numerical simulations are conducted based on the refined third-order theory. The proposed method and numerical techniques are validated using test problems for shells with rectangular planforms, and new results for shells with complex cut-outs are obtained. The study investigates the effects of various factors, such as the gradient index, boundary conditions, thickness of layers, and elastic foundations, on the fundamental frequencies of the shells.
Article
Engineering, Civil
Wei-Ren Chen, Chien-Hung Lin
Summary: This study investigates the vibration behaviors of elastically supported functionally graded sandwich beams on elastic foundations under moving loads. The bending vibration equations are established using the transformed-section method and the free and forced vibrations are studied using the Chebyshev collocation method. Two types of sandwich beams with different face-core combinations are considered. Parametric studies are performed to analyze the effects of various factors on the dynamic characteristics of FG sandwich beams.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Engineering, Civil
Jinpeng Su, Yegao Qu, Kun Zhang, Qiang Zhang, Ying Tian
Summary: This paper presents a modified variational method for the dynamic analysis of functionally graded piezoelectric (FGPM) deep curved beams with porosity (FGPP beam). The proposed method is validated by comparing the results with those available in literature and by presenting numerical examples. The combined effects of porosity properties with other material properties on the dynamic characteristics are examined, which are significant for optimal design of smart structures.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Civil
Ismail M. Mudhaffar, Abdelouahed Tounsi, Abdelbaki Chikh, Mohammed A. Al-Osta, Mesfer M. Al-Zahrani, Salah U. Al-Dulaijan
Summary: The bending behavior of an advanced functionally graded ceramic-metal plate subjected to a hygrothermo-mechanical load and resting on a viscoelastic foundation is studied using a higher-order integral shear deformation theory, investigating the linear and nonlinear influence of temperature and moisture concentration. The governing equations are derived using the principle of virtual displacement and the analytical solution is obtained by the Navier method, with a parametric investigation established to discuss the effects of various factors on the plate's bending response.
Article
Thermodynamics
Quoc-Hoa Pham, Van Ke Tran, Phu-Cuong Nguyen
Summary: This paper investigates the hygro-thermal vibration behavior of bidirectional functionally graded porous curved beams on two-layer elastic foundations using the generalized finite element method. The effects of parameters on the curved beam are analyzed through enriched mathematical space.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Construction & Building Technology
Bouzid Merazka, Abdelhakim Bouhadra, Abderrahmane Menasria, Mahmoud M. Selim, Abdelmoumen Anis Bousahla, Fouad Bourada, Abdeldjebbar Tounsi, Kouider Halim Benrahou, Abdelouahed Tounsi, Mesfer Mohammad Al-Zahrani
Summary: This study investigates the hygro-thermo-mechanical bending responses of simply supported FG plates on a Winkler-Pasternak elastic foundation, considering transverse shear strains and ensuring zero transverse shear stress without shear correction factors. The developed simplified model reduces unknown variables and analyzes the effects of various factors on FG plates.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Ashraf M. Zenkour, Rabab A. Alghanmi
Summary: An improved porosity distribution is introduced for the bending of functionally graded sandwich plates using a refined quasi-3D shear and normal deformation theory. The study finds that the shear correction factor is unnecessary and considers the continuous variation of material properties of the sandwich plates in the thickness direction.
THIN-WALLED STRUCTURES
(2022)
Article
Mechanics
Varun Katiyar, Ankit Gupta
Summary: This study investigates the free vibration analysis of geometrically imperfect and discontinuous porous functionally graded bi-directional plate resting on an elastic foundation in a thermal environment. A new porosity model and expression for temperature rise have been developed. The accuracy of the study has been validated through verification and comparative analysis, and the influential factors have been discussed in detail.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Engineering, Mechanical
Hadjira Hellal, Mohamed Bourada, Habib Hebali, Fouad Bourada, Abdelouahed Tounsi, Abdelmoumen A. Bousahla, S. R. Mahmoud
Summary: In this work, a new simple four-variable shear deformation plate model is proposed to investigate the effects of hygro-thermal environment on dynamic and buckling behavior of functionally graded material sandwich plates supported by Winkler-Pasternak elastic foundations. The model uses only four variables with trigonometric variation of transverse shear stress and integral term in the field of displacement, leading to a reduction of unknowns and basic equations. Parametric investigation demonstrates the impacts of temperature rise, moisture condition, elastic foundation coefficients, and power law index on the vibration and buckling of functionally graded material sandwich plates, showing excellent agreement with existing results.
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
(2021)
