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Hygro-Thermo-Mechanical Equivalent Layer-Wise Theory of Laminated Shell Structures

Computer Modeling in Engineering & Sciences 2025年第2期142卷 1697-1765页

作者： Francesco Tornabene Matteo Viscoti Rossana Dimitri Department of Innovation Engineering University of SalentoLecce73100Italy

This study presents a generalized two-dimensional model for evaluating the stationary hygro-thermo-mechanical response of laminated shell structures made of advanced *** introduces a generalized kinematic model,enabling the assessment of arbitrary values of temperature variation and mass concentration variation for the unvaried configuration at the top and bottom *** is achieved through the Equivalent Layer-Wise description of the unknown field variable using higher-order polynomials and zigzag *** addition,an elastic foundation is modeled utilizing the Winkler-Pasternak *** fundamental equations,derived from the total free energy of the system,are solved analytically using navier’s ***,the Fourier-based generalized differential quadrature numerical method is adopted to efficiently recover the through-the-thickness distribution of secondary variables in agreement with the hygro-thermal loading *** formulation is applied in some examples of investigation where the response of panels of different curvature and lamination schemes is evaluated under external hygro-thermal fluxes and prescribed values of temperature and moisture *** addition,this study investigates the effect of the hygro-thermal coupling due to Dufour and Soret *** present formulation is verified to be a valuable tool for reducing computational effort and determining the effect on the mechanical response of laminated structures in a thermal and hygrometric environment.

关键词： Dufour and Soret effects equivalent layer-wise hygro-thermal analysis generalized differential quadrature navier solution smart structures

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Magneto-Electro-Elastic Analysis of Doubly-Curved Shells: Higher-Order Equivalent Layer-Wise Formulation

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Computer Modeling in Engineering & Sciences 2025年第2期142卷 1767-1838页

作者： Francesco Tornabene Matteo Viscoti Rossana Dimitri Department of Innovation Engineering University of SalentoLecce73100Italy

Recent engineering applications increasingly adopt smart materials,whose mechanical responses are sensitive to magnetic and electric *** this context,new and computationally efficient modeling strategies are essential to predict the multiphysic behavior of advanced structures ***,the manuscript presents a higher-order formulation for the static analysis of laminated anisotropic magneto-electro-elastic doubly-curved shell *** fundamental relations account for the full coupling between the electric field,magnetic field,and mechanical *** configuration variables are expanded along the thickness direction using a generalized formulation based on the Equivalent Layer-Wise ***-order polynomials are selected,allowing for the assessment of prescribed values of the configuration variables at the top and bottom sides of *** addition,an effective strategy is provided for modeling general surface distributions of mechanical pressures and electromagnetic external *** model is based on a continuum-based formulation which employs an analytical homogenization of the multifield material properties,based on Mori&Tanaka approach,of a magneto-electro-elastic composite material obtained from a piezoelectric and a piezomagnetic phase,with coupled magneto-electro-elastic effects.A semi-analytical navier solution is applied to the fundamental equations,and an efficient post-processing equilibrium-based procedure is here used,based on the numerical assessment with the Generalized Differential Quadrature(GDQ)method,to recover the response of three-dimensional *** formulation is validated through various examples,investigating the multifield response of panels of different curvatures and lamination *** efficient homogenization procedure,based on the Mori&Tanaka approach,is employed to obtain the three-dimensional constitutive relation of magneto-electro-elastic *** model is validated against three-d

关键词： Magneto-electro-elastic materials equivalent layer-wise generalized differential quadrature higher-order theories navier solution recovery procedure smart structures

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A two variable refined plate theory for the bending analysis of functionally graded plates

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Acta Mechanica Sinica 2010年第6期26卷 941-949页

作者： Ismail Mechab Hassen Ait Atmane Abdlouahed Tounsi Hichem Abdesselem Belhadj EI Abbas Adda Bedia Laboratoire des Materiaux et Hydrologie Universite de Sidi Bel AbbesBP 89 Cite Ben M'hidi22000 Sidi Bel AbbesAlgerie Departement de genie civil Faculte des Sciences de l'IngenieurUniversite Hassiba Benbouali de ChlefChlefAlgerie

Bending analysis of functionally graded plates using the two variable refined plate theory is presented in this *** number of unknown functions involved is reduced to merely four,as against five in other shear deformation theories. The variationally consistent theory presented here has, in many respects,strong similarity to the classical plate theory. It does not require shear correction factors,and gives rise to such transverse shear stress variation that the transverse shear stresses vary parabolically across the thickness and satisfy shear stress free surface *** properties of the plate are assumed to be graded in the thickness direction with their distributions following a simple power-law in terms of the volume fractions of the *** equations are derived from the principle of virtual displacements, and a closed-form solution is found for a simply supported rectangular plate subjected to sinusoidal loading by using the navier *** results obtained by the present theory are compared with available solutions,from which it can be concluded that the proposed theory is accurate and simple in analyzing the static bending behavior of functionally graded plates.

关键词： FG plates Shear deformation theory Refined plate theory Higher-order theory navier solution

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Static Analysis of Functionally Graded Sandwich Plates Using an Efficient and Simple Refined Theory

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Chinese Journal of Aeronautics 2011年第4期24卷 432-433页

作者： Hadj Henni ABDELAZIZ Hassen Ait ATMANE Ismail MECHAB Lakhdar BOUMIA Abdelouahed TOUNSI Adda Bedia El ABBAS Laboratoire des Matériaux et Hydrologie Université de Sidi Bel Abbes Département de Génie Civil Université Ibn Khaldoun Département de Génie Civil Faculté de Génie Civil et d'Architecture Univesité de Chlef Département de Physique Université de Sidi Bel Abbes

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded sandwich plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Two common types of functionally graded sandwich plates, namely, the sandwich with fimctionally graded facesheet and homogeneous core and the sandwich with homogeneous facesheet and functionally graded core, are considered. Governing equations are derived from the principle of virtual displacements. The closed-form solution of a simply supported rectangular plate subjected to sinu- soidal loading has been obtained by using the navier method. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded sandwich plates.

关键词： functionally graded materials sandwich plates refined plate theory bending navier solution

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Free vibration of functionally graded sandwich plates using four-variable refined plate theory

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Applied Mathematics and Mechanics(English Edition) 2011年第7期32卷 925-942页

作者： L.HADJI H.A.ATMANE A.TOUNSI I.MECHAB E.A.ADDA BEDIA Laboratoire des Matériaux et Hydrologie Université de Sidi Bel AbbesSidi Bel Abbes 22000Algérie Département de Génie Civil Université Ibn KhaldounTiaret 14000Algérie Département de Génie Civil Faculté des Sciences de l'IngénieurUnivesité Hassiba Benbouali de ChlefChlef 02000Algérie

This paper uses the four-variable refined plate theory （RPT） for the free vibration analysis of functionally graded material （FGM） sandwich rectangular plates. Unlike other theories, there are only four unknown functions involved, as compared to five in other shear deformation theories. The theory presented is variationally consistent and strongly similar to the classical plate theory in many aspects. It does not require the shear correction factor, and gives rise to the transverse shear stress variation so that the transverse shear stresses vary parabolically across the thickness to satisfy free surface conditions for the shear stress. Two common types of FGM sandwich plates are considered, namely, the sandwich with the FGM facesheet and the homogeneous core and the sandwich with the homogeneous facesheet and the FGM core. The equation of motion for the FGM sandwich plates is obtained based on Hamilton＇s principle. The closed form solutions are obtained by using the navier technique. The fundamental frequencies are found by solving the eigenvalue problems. The validity of the theory is shown by comparing the present results with those of the classical, the first-order, and the other higher-order theories. The proposed theory is accurate and simple in solving the free vibration behavior of the FGM sandwich plates.

关键词： functionally graded material (FGM) free vibration sandwich plate refinedplate theory (RPT) navier solution

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A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates

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Advances in Applied Mathematics and Mechanics 2013年第3期5卷 351-364页

作者： Tahar Hassaine Daouadji Abdelouahed Tounsi El Abbes Adda Bedia Universit´e Ibn Khaldoun BP 78 Zaaroura14000 TiaretAlg´erie Laboratoire des Mat´eriaux&Hydrologie Universit´e de Sidi Bel AbbesAlg´erie

In this paper,a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded *** any other theory,the number of unknown functions involved is only four,as against five in case of other shear deformation *** theory presented is variationally consistent,has strong similarity with classical plate theory inmany aspects,does not require shear correction factor,and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface *** mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the *** illustrations concerned flexural behavior of FG plates with Metal-Ceramic *** studies are performed for varying ceramic volume fraction,volume fraction profiles,aspect ratios and length to thickness *** validity of the present theory is investigated by comparing some of the present results with those of the classical,the first-order and the other higher-order *** can be concluded that the proposed theory is accurate and simple in solving the static behavior of functionally graded plates.

关键词： Functionally graded material power law index volume fraction higher-order shear deformation theory navier solution

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