The Experts below are selected from a list of 219 Experts worldwide ranked by ideXlab platform
S. R. Mahmoud - One of the best experts on this subject based on the ideXlab platform.
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a new five unknown refined Theory based on neutral surface position for bending analysis of exponential graded plates
Meccanica, 2014Co-Authors: A Fekrar, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, S. R. MahmoudAbstract:In the Present paper, a new sinusoidal higher-order plate Theory is developed for bending of exponential graded plates. The effects due to transverse shear and normal deformations are both included. The number of unknown functions involved in the Present Theory is only five as against six or more in case of other shear and normal deformation theories. The Theory accounts for sinusoidal distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Based on the sinusoidal shear and normal deformation Theory, the position of neutral surface is determined and the governing equilibrium equations based on neutral surface are derived. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Numerical results of Present Theory are compared with three-dimensional elasticity solutions and other higher-order theories reported in the literature. It can be concluded that the proposed Theory is accurate and efficient in predicting the bending response of exponential graded plates.
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An efficient and simple higher order shear and normal deformation Theory for functionally graded material (FGM) plates
Composites Part B: Engineering, 2014Co-Authors: Zakaria Belabed, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, S. R. Mahmoud, O. Anwar BégAbstract:Abstract In this paper, an efficient and simple higher order shear and normal deformation Theory is Presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the Present Theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the Present Theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The Present Theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with 3-dimensional and quasi-3-dimensional solutions and those predicted by other plate theories. It can be concluded that the Present Theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates.
Huu-tai Thai - One of the best experts on this subject based on the ideXlab platform.
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A simple shear deformation Theory for nonlocal beams
Composite Structures, 2018Co-Authors: Son Thai, Huu-tai Thai, Vipulkumar Ishvarbhai PatelAbstract:In this paper, a simple beam Theory accounting for shear deformation effects with one unknown is proposed for static bending and free vibration analysis of isotropic nanobeams. The size-dependent behaviour is captured by using the nonlocal differential constitutive relations of Eringen. The governing equation of the Present beam Theory is obtained by using equilibrium equations of elasticity Theory. The Present Theory has strong similarities with nonlocal Euler–Bernoulli beam Theory in terms of the governing equation and boundary conditions. Analytical solutions for static bending and free vibration are derived for nonlocal beams with various types of boundary conditions. Verification studies indicate that the Present Theory is not only more accurate than Euler–Bernoulli beam Theory, but also comparable with Timoshenko beam Theory.
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a simple higher order shear deformation Theory for bending and free vibration analysis of functionally graded plates
Composite Structures, 2013Co-Authors: Huu-tai Thai, Seungeock KimAbstract:Abstract In this paper, a new higher-order shear deformation Theory for bending and free vibration analysis of functionally graded plates is developed. The Present Theory has only four unknowns, but it accounts for a parabolic variation of transverse shear strains through the thickness of the plate. A shear correction factor is, therefore, not required. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with 3D and quasi-3D solutions and those predicted by other plate theories. Results show that the Present Theory can achieve the same accuracy of the existing higher-order shear deformation theories which have more number of unknowns, but its accuracy is not comparable with those of 3D and quasi-3D models which include the thickness stretching effect.
Abdelouahed Tounsi - One of the best experts on this subject based on the ideXlab platform.
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a novel higher order shear and normal deformation Theory based on neutral surface position for bending analysis of advanced composite plates
International Journal of Computational Methods, 2014Co-Authors: Abdelmoumen Anis Bousahla, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, El Abbas Adda BediaAbstract:In this paper, a new trigonometric higher-order Theory including the stretching effect is developed for the static analysis of advanced composite plates such as functionally graded plates. The number of unknown functions involved in the Present Theory is only five as against six or more in case of other shear and normal deformation theories. The governing equations are derived by employing the principle of virtual work and the physical neutral surface concept. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Navier-type analytical solution is obtained for functionally graded plate subjected to transverse load for simply supported boundary conditions. A comparison with the corresponding results is made to check the accuracy and efficiency of the Present Theory.
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A n -order four variable refined Theory for bending and free vibration of functionally graded plates
Steel and Composite Structures, 2014Co-Authors: I. Klouche Djedid, Abdelkader Benachour, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, Mohammed AmeurAbstract:This paper Presents a simple n-order four variable refined Theory for the bending and vibration analyses of functionally graded plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the Present Theory is reduced, and hence, makes it simple to use. The Present Theory is variationally consistent, uses the n-order polynomial term to rePresent the displacement field, 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. The governing equations are derived by employing the Hamilton\'s principle and the physical neutral surface concept. The accuracy of the Present solutions is verified by comparing the obtained results with available published ones.
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a new five unknown refined Theory based on neutral surface position for bending analysis of exponential graded plates
Meccanica, 2014Co-Authors: A Fekrar, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, S. R. MahmoudAbstract:In the Present paper, a new sinusoidal higher-order plate Theory is developed for bending of exponential graded plates. The effects due to transverse shear and normal deformations are both included. The number of unknown functions involved in the Present Theory is only five as against six or more in case of other shear and normal deformation theories. The Theory accounts for sinusoidal distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Based on the sinusoidal shear and normal deformation Theory, the position of neutral surface is determined and the governing equilibrium equations based on neutral surface are derived. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Numerical results of Present Theory are compared with three-dimensional elasticity solutions and other higher-order theories reported in the literature. It can be concluded that the proposed Theory is accurate and efficient in predicting the bending response of exponential graded plates.
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an efficient and simple refined Theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions
Journal of Sandwich Structures and Materials, 2014Co-Authors: Mohamed Ait Amar Meziane, Hadj Henni Abdelaziz, Abdelouahed TounsiAbstract:In this paper, an efficient and simple refined shear deformation Theory is Presented for the vibration and buckling of exponentially graded material sandwich plate resting on elastic foundations under various boundary conditions. The displacement field of the Present Theory is chosen based on nonlinear variations in the in-plane displacements through the thickness of the plate. By dividing the transverse displacement into the bending and shear parts and making further assumptions, the number of unknowns and equations of motion of the Present Theory is reduced and hence makes them simple to use. Equations of motion are derived from Hamilton’s principle. Numerical results for the natural frequencies and critical buckling loads of several types of symmetric exponentially graded material sandwich plates are Presented. The accuracy of the Present Theory is verified by comparing the obtained results with solutions available in the literature. Numerical results show that the Present Theory can archive accuracy c...
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An efficient and simple higher order shear and normal deformation Theory for functionally graded material (FGM) plates
Composites Part B: Engineering, 2014Co-Authors: Zakaria Belabed, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, S. R. Mahmoud, O. Anwar BégAbstract:Abstract In this paper, an efficient and simple higher order shear and normal deformation Theory is Presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the Present Theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the Present Theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The Present Theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with 3-dimensional and quasi-3-dimensional solutions and those predicted by other plate theories. It can be concluded that the Present Theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates.
Mohammed Sid Ahmed Houari - One of the best experts on this subject based on the ideXlab platform.
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a novel higher order shear and normal deformation Theory based on neutral surface position for bending analysis of advanced composite plates
International Journal of Computational Methods, 2014Co-Authors: Abdelmoumen Anis Bousahla, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, El Abbas Adda BediaAbstract:In this paper, a new trigonometric higher-order Theory including the stretching effect is developed for the static analysis of advanced composite plates such as functionally graded plates. The number of unknown functions involved in the Present Theory is only five as against six or more in case of other shear and normal deformation theories. The governing equations are derived by employing the principle of virtual work and the physical neutral surface concept. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Navier-type analytical solution is obtained for functionally graded plate subjected to transverse load for simply supported boundary conditions. A comparison with the corresponding results is made to check the accuracy and efficiency of the Present Theory.
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A n -order four variable refined Theory for bending and free vibration of functionally graded plates
Steel and Composite Structures, 2014Co-Authors: I. Klouche Djedid, Abdelkader Benachour, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, Mohammed AmeurAbstract:This paper Presents a simple n-order four variable refined Theory for the bending and vibration analyses of functionally graded plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the Present Theory is reduced, and hence, makes it simple to use. The Present Theory is variationally consistent, uses the n-order polynomial term to rePresent the displacement field, 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. The governing equations are derived by employing the Hamilton\'s principle and the physical neutral surface concept. The accuracy of the Present solutions is verified by comparing the obtained results with available published ones.
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a new five unknown refined Theory based on neutral surface position for bending analysis of exponential graded plates
Meccanica, 2014Co-Authors: A Fekrar, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, S. R. MahmoudAbstract:In the Present paper, a new sinusoidal higher-order plate Theory is developed for bending of exponential graded plates. The effects due to transverse shear and normal deformations are both included. The number of unknown functions involved in the Present Theory is only five as against six or more in case of other shear and normal deformation theories. The Theory accounts for sinusoidal distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Based on the sinusoidal shear and normal deformation Theory, the position of neutral surface is determined and the governing equilibrium equations based on neutral surface are derived. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Numerical results of Present Theory are compared with three-dimensional elasticity solutions and other higher-order theories reported in the literature. It can be concluded that the proposed Theory is accurate and efficient in predicting the bending response of exponential graded plates.
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An efficient and simple higher order shear and normal deformation Theory for functionally graded material (FGM) plates
Composites Part B: Engineering, 2014Co-Authors: Zakaria Belabed, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, S. R. Mahmoud, O. Anwar BégAbstract:Abstract In this paper, an efficient and simple higher order shear and normal deformation Theory is Presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the Present Theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the Present Theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The Present Theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with 3-dimensional and quasi-3-dimensional solutions and those predicted by other plate theories. It can be concluded that the Present Theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates.
Seungeock Kim - One of the best experts on this subject based on the ideXlab platform.
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a simple higher order shear deformation Theory for bending and free vibration analysis of functionally graded plates
Composite Structures, 2013Co-Authors: Huu-tai Thai, Seungeock KimAbstract:Abstract In this paper, a new higher-order shear deformation Theory for bending and free vibration analysis of functionally graded plates is developed. The Present Theory has only four unknowns, but it accounts for a parabolic variation of transverse shear strains through the thickness of the plate. A shear correction factor is, therefore, not required. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with 3D and quasi-3D solutions and those predicted by other plate theories. Results show that the Present Theory can achieve the same accuracy of the existing higher-order shear deformation theories which have more number of unknowns, but its accuracy is not comparable with those of 3D and quasi-3D models which include the thickness stretching effect.
