Article
Mechanics
Shanhong Ren, Changzheng Cheng, Bo Yu, Zeng Meng, Bowei Huang, Qiaoguo Wu
Summary: This paper proposes new refined higher-order shear deformation theories (RHSDTs) for functionally graded plates. The theories describe the initial displacement using higher-order theories and determine the in-plane stress fields using geometrical and constitutive relations. By incorporating tangential stress-free conditions and defining new variables, the transverse shear stress expressions without differential variables are obtained. These refined theories can better predict the mechanical responses of functionally graded plates.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Engineering, Aerospace
Tapaswinee Das, Jayanta Kumar Nath
Summary: A zigzag theory with electromechanical coupling is introduced for static and free vibration responses in functionally graded material plates bonded with piezoelectric layers, allowing for consideration of continuity and discontinuity in material properties at all interfaces. The displacement field approximation, made layer independent by using continuity conditions and zero traction conditions, has been used to derive analytical solutions for elastic and piezoelectric layer bonded FGM plates, with material properties varying continuously in the thickness direction for FGM layers and remaining constant in piezoelectric layers.
Article
Engineering, Aerospace
Giuseppe Ruta, Isaac Elishakoff
Summary: By choosing suitable yet general enough functional gradients for the radius and thickness, closed-form solutions for the linear elastic direct problem of axisymmetric circular plates can be obtained. The plates are modeled using the Kirchhoff-Love theory under the assumption of thinness, and the governing equations are dealt with in nondimensional form to abstract from actual geometric and material parameters.
Article
Computer Science, Interdisciplinary Applications
Thien T. Truong, Vay S. Lo, Minh N. Nguyen, Nha T. Nguyen, Kien D. Nguyen
Summary: This paper incorporates the discrete shear gap into the meshfree radial point interpolation method for nonlinear static analysis of functionally graded plates. The method effectively addresses the shear locking issue and improves accuracy. Through numerical examples, the proposed approach demonstrates better performance compared to existing techniques.
ENGINEERING WITH COMPUTERS
(2023)
Article
Materials Science, Composites
Jiao Li, Jun Lin, Hakim Naceur, Weizhen Kong, Shengcheng Ji, Yanjin Guan, Dong Quan, Jinqiang Chen, Yunjiang Li
Summary: A self-developed meshless SPH model was used to analyze the impact responses of FG-CNT nanocomposites. The model demonstrated strong capability in simulating impact. Increasing the number of CNTs near the strike face improves the impact resistance of the material.
POLYMER COMPOSITES
(2023)
Article
Mechanics
Chao Wang, Liangliang Ma, Yang Bu, Jie Zhao, Kang Hao Cheong
Summary: This study proposes an effective approach for the optimal material distribution design of bi-directional functionally graded plates (2D-FGPs) with complex shapes. By combining multi-patch isogeometric analysis and an improved multi-objective particle swarm optimization algorithm, it achieves a unified CAD/CAE optimization design of 2D-FGPs across multiple non-smooth boundaries.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
H. Nguyen-Xuan, Kim Q. Tran, Chien H. Thai, Jaehong Lee
Summary: This paper investigates a new model of porous plates called Functionally Graded Triply Periodic Minimal Surface (FG-TPMS) plates. The effective moduli and Poisson's ratio of TPMS structures are evaluated using a fitting technique based on a two-phase piece-wise function. The mechanical characteristics of the FG-TPMS plates are verified through numerical examples, demonstrating their reliability and accuracy.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Civil
V. Pasha Zanussi, H. Shahverdi, V. Khalafi, M. M. Navardi
Summary: The present study analyzes the nonlinear aeroelastic behavior of Functionally Graded plates with arbitrary shapes using an isogeometric approach. The aeroelastic equations and the structural dynamics equations are established to study the flutter and post-flutter behavior of the plates. The effects of shape and boundary conditions are also examined.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Duy-Khuong Ly, Tam T. Truong, Sy-Ngoc Nguyen, T. Nguyen-Thoi
Summary: This paper presents an efficient numerical approach for dealing with hybrid damping vibration control of laminated functionally graded carbon-nanotube reinforced composite plates. The proposed method is validated and compared with other numerical methods, and the effects of various factors on the damping behavior are investigated.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Mechanics
Aleksander Muc, Justyna Flis
Summary: This paper investigates the flutter characteristics and free vibrations of porous functionally graded plates using analytical and Rayleigh-Ritz methods, studying the influence of various porosity models and the necessity of optimization techniques for finding the best solutions in engineering applications.
COMPOSITE STRUCTURES
(2021)
Article
Construction & Building Technology
Minh-Ngoc Nguyen, Wonsik Jung, Soomi Shin, Joowon Kang, Dongkyu Lee
Summary: This paper presents a new scheme called Discrete Shear Gap element (DSG) for constructing locking-free finite elements in thick and thin plates. It utilizes multiphase material topology optimization for triangular elements and includes common methods such as quadrilateral element (Q4) and reduced integration method. It also addresses the transverse shear-locking problem in thin plates using the stabilized discrete shear gap technique.
STEEL AND COMPOSITE STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Berrabah Hamza Madjid, Bouderba Bachir
Summary: In this study, the application of a precise theory of shear deformation for the buckling analysis of plates with functional gradation is investigated. By comparing different dimensional and nondimensional parameters, the study confirms the accuracy and convergence of the theory for this type of problem.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Mechanics
Armagan Karamanli, Metin Aydogdu
Summary: The dynamical analysis of two directional functionally graded carbon nanotube reinforced composite plates shows that the distribution of CNTs significantly affects the dimensionless frequencies. The difference between the dimensionless frequencies calculated based on the 2DFG-CNTRC and 1DFG-CNTRC configurations is significant under different CNT configurations, volume fractions, and aspect ratios.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Sumit Kumar Sharma, Neha Ahlawat
Summary: In this paper, a semi-analytical technique based on Taylor's series method (DTM) is used to solve the differential equation governing the motion of three types of annular functionally graded material (FGM) plates. The mechanical properties of the plate vary in thickness direction and follow a power-law. The effect of radii ratio and volume fraction index on the frequency parameter modes of the plates is studied, and the accuracy of the present technique is verified by comparing the numerical results with available literature. Three-dimensional mode shapes for all three plates are also presented.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Mechanics
Abdelbasset Chedad, Noureddine Elmeiche, Souad Hamzi, Hichem Abbad
Summary: This document studies the effect of porosity on the buckling of functionally graded sandwich plates under a nonlinear thermal loading. The four-variable refined plate theory is utilized, and various types of functionally graded material sandwich plates are considered. The study highlights the influence of transverse shear and compares the proposed model with other works reported in the literature.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Computer Science, Interdisciplinary Applications
Chien H. Thai, A. J. M. Ferreira, H. Nguyen-Xuan, Lieu B. Nguyen, P. Phung-Van
Summary: This paper proposes a nonlocal strain gradient meshfree plate approach for the bending and free vibration analyses of laminated composite and sandwich nanoplates. The deflection and natural frequency of the plates are significantly influenced by the nonlocal and strain gradient parameters. The results show that both models coincide when the nonlocal and strain gradient parameters are taken as zero.
ENGINEERING WITH COMPUTERS
(2023)
Article
Cardiac & Cardiovascular Systems
Daniel Matos, Pedro Adragao, Cristiano Pisani, Vinicius Hatanaka, Pedro Freitas, Francisco Costa, Muhiedinne Chokr, Carina Hardy, Antonio Miguel Ferreira, Pedro Carmo, Sissy Laura, Francisco Morgado, Diogo Cavaco, Miguel Mendes, Mauricio Scanavacca
Summary: The study compared the efficacy and safety of combined (C-ABL) and non-combined (NC-ABL) endo-epicardial ventricular tachycardia (VT) ablation. The results showed that a combined or sequential ablation strategy was associated with lower VT recurrence and lower all-cause death in patients with ischemic heart disease and non-ischemic cardiomyopathy undergoing repeated procedures. Both approaches seemed equally safe.
JOURNAL OF INTERVENTIONAL CARDIAC ELECTROPHYSIOLOGY
(2023)
Article
Materials Science, Multidisciplinary
Sajedeh Khosravani, Mohammad Homayoune Sadr, Erasmo Carrera, Alfonso Pagani
Summary: In this study, randomly three-dimensional graphene foam (RGF) was synthesized and used to prepare RGF/epoxy composite material. Tensile testing showed that the drying percentage of RGF had a significant effect on the mechanical properties of the composite. Furthermore, multi-scale numerical methods were employed to obtain the mechanical properties of the RGF/epoxy composite material.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Marin Marin, Erasmo Carrera, Sorin Vlase
Summary: The paper focuses on a mixed initial-boundary value problem in thermoelasticity of piezoelectric bodies with a dipolar structure. It considers the case of an inhomogeneous and anisotropic thermoelastic body with the added effect of piezoelectricity. The paper establishes the existence of a unique solution for the mixed problem by imposing some intermediate conditions and obtains a generalized form of Hamilton's principle to cover this context.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Ehsan Daneshkhah, Erasmo Carrera, Xiangyang Xu, Hao Yang
Summary: The Carrera Unified Formulation and full Green-Lagrange nonlinear relations are used to investigate the postbuckling behavior of laminated composite panels under in-plane shear and combined loadings. Layerwise refined plate models with efficient Lagrange expansion functions are employed to simulate the laminate thickness. The accuracy of the model is validated based on existing literature. The effects of stiffeners on the nonlinear response of the panels are evaluated, and a comprehensive assessment is provided for the equilibrium curves and stress distributions.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Mechanics
Nguyen Chi Tho, Do Van Thom, Pham Hong Cong, Ashraf M. Zenkour, Duc Hong Doan, Phung Van Minh
Summary: This study uses the third-order shear deformation theory and phase-field theory to model the free vibration response and static bending of laminated composite plates with just a core layer fracture. It integrates the finite element method with the phase-field theory to model the appearance of a fracture in a portion of the plate thickness. The results show surprising phenomena, such as minimal changes in crack length and plate properties, making it difficult to detect this kind of flaw.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
A. Garg, T. Mukhopadhyay, M. O. Belarbi, H. D. Chalak, A. Singh, A. M. Zenkour
Summary: Available shear deformation theories (SDTs) have their own merits and demerits. Among SDTs, first-order shear deformation theory (FSDT) and higher-order shear deformation theories (HSDT) are widely used for LCS beams analysis. However, they cannot predict the continuation of transverse shear stresses at interfaces across the thickness of the LCS beams. This study aims to transform the stress variations obtained from FSDT to 3D Elasticity solutions using Gaussian Process Regression (GPR) based surrogate model in order to predict the variation of transverse normal stresses across the thickness accurately and efficiently.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Mechanical
Ashraf M. Zenkour, Hela D. El-Shahrany
Summary: In this study, vibration analysis of adaptive sandwich plates under hygrothermal loads are performed. The influences of various parameters on the hygrothermal vibration characteristics are investigated, such as thickness ratio, aspect ratio, viscoelastic to magnetostrictive layer thickness ratio, modes, stiffness and damping coefficients, lamination schemes, magnitude of the feedback coefficient, location of the magnetostrictive layers, viscoelastic structural damping, temperature rise, and moisture concentration. The findings show that the vibration characteristics are sensitive to temperature and humidity concentrations. Considering these observations, the design of smart structural applications that can control vibration under such environmental conditions may be facilitated.
ACTA MECHANICA SINICA
(2023)
Article
Engineering, Multidisciplinary
Ashraf M. Zenkour, Hela D. El-Shahrany
Summary: In this study, smart Terfenol-D actuating layers are used to control composite viscoelastic beams with homogenous faces under thermal/hygrothermal environmental conditions. A three-parameter Kerr's foundation is employed to reduce system deflections. The cross-ply case of the structural layers is considered with simply supported conditions. The distributions of thermal/hygrothermal loadings are assumed to vary through the thickness direction of the beam. Analytical computations, tabular displays, and graphical illustrations are used to study the vibration damping process of the presented smart sandwich beam with important structure-dependent design parameters and environmental conditions variation.
JOURNAL OF ENGINEERING MATHEMATICS
(2023)
Article
Engineering, Mechanical
Ehsan Daneshkhah, Erasmo Carrera
Summary: In this paper, the post-buckling response of rectangular plates subjected to axial and shear loadings is studied using the Carrera Unified Formulation (CUF). Different plate models are implemented, and the effects of stiffeners' boundary conditions are accurately evaluated. The geometrically nonlinear equilibrium curves of the plate structures are assessed comprehensively using the Newton-Raphson linearization method, and comparisons of different geometrically nonlinear assumptions are presented. The importance of strain-displacement relationships and stiffeners' effects in the nonlinear response of plate structures is highlighted.
JOURNAL OF ENGINEERING MECHANICS
(2023)
Article
Materials Science, Multidisciplinary
Yumei Chen, Xiang Fang, Ji Wang, Matteo Filippi, Erasmo Carrera
Summary: By using a microstructure with an antisymmetric dual helix, we designed a metamaterial plate with wide band gaps for phononic crystals. The band structure and displacement transmission curves of the metamaterial plates were calculated and compared with and without considering the mass in the center of the dual helix. The results show excellent consistency in the band gaps, and the effects of various parameters on the band gaps were examined for further evaluation of potential applications.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
E. Carrera, V. V. Zozulya
Summary: Higher order models of elastic composite multilayer shells of revolution are developed using the variational principle of virtual power for the 3-D linear anisotropic theory of elasticity and generalized series in the shell thickness coordinates. Different types of shells, including cylindrical and circular plated as well as parabolic, hyperbolic, and pseudo-spheric shells, are considered and solved analytically. Numerical calculations are performed using Mathematica. The resulting equations can be used for theoretical analysis, stress-strain state calculation, and thin-walled structure modeling.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Mechanics
Quoc-Hoa Pham, Van Ke Tran, Trung Thanh Tran, Van Chinh Nguyen, Ashraf M. Zenkour
Summary: This article develops a novel finite element formulation based on nonlocal theory to analyze the vibration of viscoelastic orthotropic nanoplates resting on the variable viscoelastic foundation (VEF). The mechanical properties of the nanoplate are assumed to be viscoelastic orthotropic according to Kelvin's model. The variable VEF consists of two layers: a shear layer with constant stiffness, and the other layer is described as a system composed of alternating damping and springs, with variations only in the x-axis. Motion equations of the nanoplates are established using Hamilton's principle, a refined higher-order shear deformation plate theory (HSDT), and nonlocal theory. The results are verified through reliable publications, and factors influencing the vibration of orthotropic nanoplates resting on the variable VEF are discussed.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Alfonso Pagani, Erasmo Carrera, Daniele Scano, Riccardo Augello
Summary: This paper proposes the use of Jacobi polynomials to approximate higher-order theories of beam, plate, and shell structures. The Carrera unified formulation is used in this context to express displacement kinematics in a hierarchical form. The research focuses on the attenuation and correction of shear locking, and investigates the effectiveness and robustness of the proposed approach through case studies and benchmarks.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Mechanics
B. Amieur, M. Djermane, A. M. Zenkour, F. Hammadi
Summary: One of the most important aspects in the dimensioning of structural calculations is the study of static or dynamic stability, which can be approached through different methods such as static buckling, parametric resonance, and dynamic buckling.The present work focuses on dynamic stability of functionally graded material shell structures, using dynamic buckling criteria. The objective is to determine the critical dynamic load of FG structures composite type in the dynamic case, using phase plane and motion equation criteria. Different mechanical properties are considered as continuous functions through-thickness direction, according to the volume fraction of the constituents using a simple power law distribution. The effects of variations in volume fractions and shell geometrical parameters are studied. Convergence tests and comparison studies are conducted to establish the efficiency of the proposed model.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
