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Huu-tai Thai - One of the best experts on this subject based on the ideXlab platform.
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a new inverse trigonometric Shear Deformation theory for isotropic and functionally graded sandwich plates
Composites Part B-engineering, 2014Co-Authors: Vanhau Nguyen, Trungkien Nguyen, Huu-tai ThaiAbstract:A new inverse trigonometric Shear Deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse Shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing Shear Deformation theories is found to demonstrate the accuracy of the proposed theory.
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a new inverse trigonometric Shear Deformation theory for isotropic and functionally graded sandwich plates
Composites Part B-engineering, 2014Co-Authors: Vanhau Nguyen, Huu-tai Thai, Trungkien Nguyen, Thuc P VoAbstract:A new inverse trigonometric Shear Deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse Shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing Shear Deformation theories is found to demonstrate the accuracy of the proposed theory.
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analysis of functionally graded sandwich plates using a new first order Shear Deformation theory
European Journal of Mechanics A-solids, 2014Co-Authors: Huu-tai Thai, Trungkien Nguyen, Jaehong LeeAbstract:Abstract In this paper, a new first-order Shear Deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order Shear Deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of Shear correction factor is no longer necessary in the present theory since the transverse Shear stresses are directly computed from the transverse Shear forces by using equilibrium equations. Equations of motion are derived from Hamilton's principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order Shear Deformation theory is not only more accurate than the conventional one, but also comparable with higher-order Shear Deformation theories which have a greater number of unknowns.
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static and vibration analysis of functionally graded beams using refined Shear Deformation theory
Meccanica, 2014Co-Authors: Huu-tai Thai, Trungkien Nguyen, Fawad InamAbstract:Static and vibration analysis of functionally graded beams using refined Shear Deformation theory is presented. The developed theory, which does not require Shear correction factor, accounts for Shear Deformation effect and coupling coming from the material anisotropy. Governing equations of motion are derived from the Hamilton’s principle. The resulting coupling is referred to as triply coupled axial-flexural response. A two-noded Hermite-cubic element with five degree-of-freedom per node is developed to solve the problem. Numerical results are obtained for functionally graded beams with simply-supported, cantilever-free and clamped-clamped boundary conditions to investigate effects of the power-law exponent and modulus ratio on the displacements, natural frequencies and corresponding mode shapes.
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A simple first-order Shear Deformation theory for laminated composite plates
Composite Structures, 2013Co-Authors: Huu-tai Thai, Dong-ho ChoiAbstract:Abstract In this paper, a simple first-order Shear Deformation theory is presented for laminated composite plates. Unlike the existing first-order Shear Deformation theory, the present one contains only four unknowns and has strong similarities with the classical plate theory in many aspects such as equations of motion, boundary conditions, and stress resultant expressions. Equations of motion and boundary conditions are derived from Hamilton’s principle. Analytical solutions of simply supported antisymmetric cross-ply and angle-ply laminates are obtained and the results are compared with the exact three-dimensional (3D) solutions and those predicted by existing theories. Comparison studies show that this new first-order Shear Deformation theory can achieve the same accuracy of the existing first-order Shear Deformation theory which has more number of unknowns.
Dong-ho Choi - One of the best experts on this subject based on the ideXlab platform.
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A simple first-order Shear Deformation theory for laminated composite plates
Composite Structures, 2013Co-Authors: Huu-tai Thai, Dong-ho ChoiAbstract:Abstract In this paper, a simple first-order Shear Deformation theory is presented for laminated composite plates. Unlike the existing first-order Shear Deformation theory, the present one contains only four unknowns and has strong similarities with the classical plate theory in many aspects such as equations of motion, boundary conditions, and stress resultant expressions. Equations of motion and boundary conditions are derived from Hamilton’s principle. Analytical solutions of simply supported antisymmetric cross-ply and angle-ply laminates are obtained and the results are compared with the exact three-dimensional (3D) solutions and those predicted by existing theories. Comparison studies show that this new first-order Shear Deformation theory can achieve the same accuracy of the existing first-order Shear Deformation theory which has more number of unknowns.
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a simple first order Shear Deformation theory for the bending and free vibration analysis of functionally graded plates
Composite Structures, 2013Co-Authors: Huu-tai Thai, Dong-ho ChoiAbstract:Abstract This paper presents a simple first-order Shear Deformation theory for the bending and free vibration analysis of functionally graded plates. Unlike the conventional first-order Shear Deformation theory, the present first-order Shear Deformation theory contains only four unknowns and has strong similarities with the classical plate theory in many aspects such as governing equations of motion, boundary conditions, and stress resultant expressions. Equations of motion and boundary conditions are derived from Hamilton’s principle. Closed-form solutions of simply supported plates are obtained and the results are compared with the exact 3D and quasi-3D solutions and those predicted by other plate theories. Comparison studies show that the present theory can achieve the same accuracy of the conventional first-order Shear Deformation theory which has more number of unknowns.
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a simple first order Shear Deformation theory for the bending and free vibration analysis of functionally graded plates
Composite Structures, 2013Co-Authors: Huu-tai Thai, Dong-ho ChoiAbstract:Abstract This paper presents a simple first-order Shear Deformation theory for the bending and free vibration analysis of functionally graded plates. Unlike the conventional first-order Shear Deformation theory, the present first-order Shear Deformation theory contains only four unknowns and has strong similarities with the classical plate theory in many aspects such as governing equations of motion, boundary conditions, and stress resultant expressions. Equations of motion and boundary conditions are derived from Hamilton’s principle. Closed-form solutions of simply supported plates are obtained and the results are compared with the exact 3D and quasi-3D solutions and those predicted by other plate theories. Comparison studies show that the present theory can achieve the same accuracy of the conventional first-order Shear Deformation theory which has more number of unknowns.
Omer Civalek - One of the best experts on this subject based on the ideXlab platform.
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Effects of thermal and Shear Deformation on vibration response of functionally graded thick composite microbeams
Composites Part B: Engineering, 2017Co-Authors: Bekir Akgoz, Omer CivalekAbstract:Abstract In this paper, thermal and Shear Deformation effects on the vibrational response of non-homogeneous microbeams made of functionally graded (FG) materials are carried out. It is assumed that the temperature-dependent material properties of FG microbeams change smoothly and gradually throughout the height according to the classical rule of mixture. The governing differential equations and related boundary conditions are derived by implementing Hamilton's principle on the basis of hyperbolic Shear Deformation beam and modified couple stress theories and they are analytically solved. The results are given together with other beam theories. A detailed parametric study is performed to indicate the influences of slenderness ratio, material length scale parameter, gradient index, Shear correction factors and temperature rise on natural frequencies of FG microbeams. It is revealed that the use of modified Shear correction factor can provide more accurate and valid results for first-order Shear deformable microbeam model.
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Shear Deformation beam models for functionally graded microbeams with new Shear correction factors
Composite Structures, 2014Co-Authors: Bekir Akgoz, Omer CivalekAbstract:Abstract A Shear Deformation beam model and new Shear correction factors are presented for nonhomogeneous microbeams. The governing equations and corresponding boundary conditions in bending and buckling are obtained by implementing minimum total potential energy principle. Bending and buckling problems of a simply supported functionally graded microbeam are analytically solved by Navier solution procedure. Several comparative results are given for different material property gradient index, thickness-to-material length scale parameter ratio (or vice versa), slenderness ratio and Shear correction factors. It is observed that size effect and Shear Deformation are more significant for lower values of thickness-to-material length scale parameter and slenderness ratios, respectively.
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a size dependent Shear Deformation beam model based on the strain gradient elasticity theory
International Journal of Engineering Science, 2013Co-Authors: Bekir Akgoz, Omer CivalekAbstract:Abstract A new size-dependent higher-order Shear Deformation beam model is developed based on modified strain gradient theory. The model captures both the microstructural and Shear Deformation effects without the need for any Shear correction factors. The governing equations and boundary conditions are derived by using Hamilton’s principle. The static bending and free vibration behavior of simply supported microbeams are investigated. Analytical solutions including Poisson effect for deflections under point and uniform loads and for first three natural frequencies are obtained by Navier solution. The results are compared with other beam theories and other classical and non-classical models. A detailed parametric study is carried out to show the influences of thickness-to-material length scale parameter ratio, slenderness ratio and Shear Deformation on deflections and natural frequencies of microbeams. It is observed that effect of Shear Deformation becomes more significant for both smaller slenderness ratios and higher modes.
Trungkien Nguyen - One of the best experts on this subject based on the ideXlab platform.
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a new inverse trigonometric Shear Deformation theory for isotropic and functionally graded sandwich plates
Composites Part B-engineering, 2014Co-Authors: Vanhau Nguyen, Trungkien Nguyen, Huu-tai ThaiAbstract:A new inverse trigonometric Shear Deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse Shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing Shear Deformation theories is found to demonstrate the accuracy of the proposed theory.
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a new inverse trigonometric Shear Deformation theory for isotropic and functionally graded sandwich plates
Composites Part B-engineering, 2014Co-Authors: Vanhau Nguyen, Huu-tai Thai, Trungkien Nguyen, Thuc P VoAbstract:A new inverse trigonometric Shear Deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse Shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing Shear Deformation theories is found to demonstrate the accuracy of the proposed theory.
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analysis of functionally graded sandwich plates using a new first order Shear Deformation theory
European Journal of Mechanics A-solids, 2014Co-Authors: Huu-tai Thai, Trungkien Nguyen, Jaehong LeeAbstract:Abstract In this paper, a new first-order Shear Deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order Shear Deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of Shear correction factor is no longer necessary in the present theory since the transverse Shear stresses are directly computed from the transverse Shear forces by using equilibrium equations. Equations of motion are derived from Hamilton's principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order Shear Deformation theory is not only more accurate than the conventional one, but also comparable with higher-order Shear Deformation theories which have a greater number of unknowns.
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static and vibration analysis of functionally graded beams using refined Shear Deformation theory
Meccanica, 2014Co-Authors: Huu-tai Thai, Trungkien Nguyen, Fawad InamAbstract:Static and vibration analysis of functionally graded beams using refined Shear Deformation theory is presented. The developed theory, which does not require Shear correction factor, accounts for Shear Deformation effect and coupling coming from the material anisotropy. Governing equations of motion are derived from the Hamilton’s principle. The resulting coupling is referred to as triply coupled axial-flexural response. A two-noded Hermite-cubic element with five degree-of-freedom per node is developed to solve the problem. Numerical results are obtained for functionally graded beams with simply-supported, cantilever-free and clamped-clamped boundary conditions to investigate effects of the power-law exponent and modulus ratio on the displacements, natural frequencies and corresponding mode shapes.
El Abbas Adda Bedia - One of the best experts on this subject based on the ideXlab platform.
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a refined trigonometric Shear Deformation theory for thermoelastic bending of functionally graded sandwich plates
Aerospace Science and Technology, 2013Co-Authors: Abdelouahed Tounsi, Mohammed Sid Ahmed Houari, Samir Benyoucef, El Abbas Adda BediaAbstract:Abstract A refined trigonometric Shear Deformation theory (RTSDT) taking into account transverse Shear Deformation effects is presented for the thermoelastic bending analysis of functionally graded sandwich plates. 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, does not require Shear correction factor, the displacement components are expressed by trigonometric series representation through the plate thickness to develop a two-dimensional theory 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. The sandwich with homogeneous facesheet and FGM core is considered. Material properties of the present FGM core are assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The influences played by the transverse Shear Deformation, thermal load, plate aspect ratio, and volume fraction distribution are studied. Numerical results for deflections and stresses of functionally graded metal–ceramic plates are investigated. It can be concluded that the proposed theory is accurate and simple in solving the thermoelastic bending behavior of functionally graded plates.
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a new hyperbolic Shear Deformation theory for buckling and vibration of functionally graded sandwich plate
International Journal of Mechanical Sciences, 2011Co-Authors: Noureddine El Meiche, Ismail Mechab, Abdelouahed Tounsi, Noureddine Ziane, El Abbas Adda BediaAbstract:A new hyperbolic Shear Deformation theory taking into account transverse Shear Deformation effects is presented for the buckling and free vibration analysis of thick functionally graded sandwich plates. Unlike any other theory, the theory presented gives rise to only four governing equations. Number of unknown functions involved is only four, as against five in case of simple Shear Deformation theories of Mindlin and Reissner (first Shear Deformation theory). The plate properties are assumed to be varied through the thickness following a simple power law distribution in terms of volume fraction of material constituents. The theory presented is variationally consistent, 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. Equations of motion are derived from Hamilton's principle. The closed-form solutions of functionally graded sandwich plates are obtained using the Navier solution. The results obtained for plate with various thickness ratios using the theory are not only substantially more accurate than those obtained using the classical plate theory, but are almost comparable to those obtained using higher order theories with more number of unknown functions.
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Static analysis of functionally graded short beams including warping and Shear Deformation effects
Computational Materials Science, 2008Co-Authors: M. A. Benatta, Aicha Tounsi, Ismail Mechab, El Abbas Adda BediaAbstract:High-order flexural theories for short functionally graded symmetric beams under three-point bending are presented. The material properties of the plate are assumed to be graded continuously in the direction of thickness. The variation of the material properties follows a simple power-law distribution in terms of the volume fractions of constituents within a symmetric laminated beam to create a functionally graded material (FGM). The formulation allows for warping of the cross-section of the FGM beam and eliminates the need for using arbitrary Shear correction coefficients as in other theories. Based on higher-order Shear Deformation theories, the governing equations are obtained using the principle of virtual work (PVW). The justification for use of higher-order Shear Deformation theories is established for short and FGM beams where cross-sectional warping is predominant.
