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H Nguyenxuan - One of the best experts on this subject based on the ideXlab platform.

  • geometrically nonlinear isogeometric analysis of laminated composite plates based on higher order shear Deformation Theory
    International Journal of Non-linear Mechanics, 2015
    Co-Authors: Loc V Tran, Jaehong Lee, H Nguyenxuan, Hieu Nguyenvan, Abdel M Wahab
    Abstract:

    Abstract In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) and higher-order shear Deformation Theory (HSDT) for geometrically nonlinear analysis of laminated composite plates. The HSDT allows us to approximate displacement field that ensures by itself the realistic shear strain energy part without shear correction factors (SCFs). IGA utilizing basis functions namely B-splines or non-uniform rational B-splines (NURBS) enables to satisfy easily the stringent continuity requirement of the HSDT model without any additional variables. The nonlinearity of the plates is formed in the total Lagrange approach based on the small strain assumptions. Numerous numerical validations for the isotropic, orthotropic, cross-ply and angle-ply laminated plates are provided to demonstrate the effectiveness of the proposed method.

  • isogeometric analysis of laminated composite plates using the higher order shear Deformation Theory
    Mechanics of Advanced Materials and Structures, 2015
    Co-Authors: Chien H Thai, H Nguyenxuan, Stephane Bordas, Nhon Nguyenthanh, Timon Rabczuk
    Abstract:

    Isogeometric analysis (IGA) aims at simplifying the computer aided design (CAD) and computer aided engineering (CAE) pipeline by using the same functions to describe the geometry (CAD) and the unknown fields (Analysis). IGA can be based on a variety of CAD descriptions, the most widely used today being non-uniform rational B-splines (NURBS). In this article, the suitability of NURBS-based isogeometric analysis within a third-order shear Deformation Theory for the simulation of the static, dynamic, and buckling response of laminated composite plates is investigated. The method employs NURBS basis functions to both represent the geometry (exactly) and the unknown field variables. One of the main advantages of the present method is directly inherited from IGA, that is to easily increase the approximation order. To avoid using a shear correction factor, a third-order shear Deformation Theory (TSDT) is introduced. It requires C1-continuity of generalized displacements and the NURBS basis functions are well sui...

  • generalized shear Deformation Theory for functionally graded isotropic and sandwich plates based on isogeometric approach
    Computers & Structures, 2014
    Co-Authors: Chien H Thai, Sivakumar Kulasegaram, Loc V Tran, H Nguyenxuan
    Abstract:

    A generalized shear Deformation Theory for static, dynamic and buckling analysis of functionally graded material (FGM) made of isotropic and sandwich plates is presented in this paper. Two new distribution functions are proposed in the present formulation. These functions determine the distribution of the transverse shear strains and stresses across the thickness of the plates. The present Theory is derived from the classical plate Theory (CPT), and hence the shear locking phenomenon can be ignored. It has same number of degrees of freedom as the first order shear Deformation Theory (FSDT), but it does not require shear correction factors because the shear stress free surface conditions are naturally satisfied. As demonstrated in the following sections, the proposed Theory yields very accurate prediction for displacement, stresses, natural frequencies and critical buckling load compared to three-dimensional (3D) elasticity solution. Galerkin weak form of static, free vibration and buckling models for FGM isotropic and sandwich plates are used to create the discrete system of equations. This weak form requires C^1-continuity for generalized displacements. It can be solved by a number of methods such as analytical methods, finite element methods based on the Hermite interpolation functions, meshfree method and recently developed NURBS based isogeometric analysis (IGA). The NURBS basis functions used in IGA are C^p^-^1 continuous and therefore can easily satisfy the C^1-continuity condition. Numerical examples are presented to illustrate the effectiveness of the proposed method compared to other methods reported in the literature.

  • a cell based smoothed discrete shear gap method cs fem dsg3 using layerwise Deformation Theory for dynamic response of composite plates resting on viscoelastic foundation
    Computer Methods in Applied Mechanics and Engineering, 2014
    Co-Authors: P Phungvan, H Nguyenxuan, T Nguyenthoi, H Luongvan, C Thaihoang
    Abstract:

    Abstract A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the first-order shear Deformation Theory (FSDT) was recently proposed for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM-DSG3 is extended to the layerwise Deformation Theory for dynamic response of sandwich and laminated composite plates resting on viscoelastic foundation subjected to a moving mass. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results.

  • a cell based smoothed discrete shear gap method cs fem dsg3 using layerwise Deformation Theory for dynamic response of composite plates resting on viscoelastic foundation
    Computer Methods in Applied Mechanics and Engineering, 2014
    Co-Authors: P Phungvan, H Nguyenxuan, T Nguyenthoi, H Luongvan, C Thaihoang
    Abstract:

    Abstract A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the first-order shear Deformation Theory (FSDT) was recently proposed for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM-DSG3 is extended to the layerwise Deformation Theory for dynamic response of sandwich and laminated composite plates resting on viscoelastic foundation subjected to a moving mass. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results.

Huu-tai Thai - One of the best experts on this subject based on the ideXlab platform.

  • a new inverse trigonometric shear Deformation Theory for isotropic and functionally graded sandwich plates
    Composites Part B-engineering, 2014
    Co-Authors: Vanhau Nguyen, Huu-tai Thai, Trungkien Nguyen, Thuc P Vo
    Abstract:

    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.

  • a new inverse trigonometric shear Deformation Theory for isotropic and functionally graded sandwich plates
    Composites Part B-engineering, 2014
    Co-Authors: Vanhau Nguyen, Trungkien Nguyen, Huu-tai Thai
    Abstract:

    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.

  • analysis of functionally graded sandwich plates using a new first order shear Deformation Theory
    European Journal of Mechanics A-solids, 2014
    Co-Authors: Huu-tai Thai, Trungkien Nguyen, Jaehong Lee
    Abstract:

    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.

  • static and vibration analysis of functionally graded beams using refined shear Deformation Theory
    Meccanica, 2014
    Co-Authors: Huu-tai Thai, Trungkien Nguyen, Fawad Inam
    Abstract:

    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.

  • A simple first-order shear Deformation Theory for laminated composite plates
    Composite Structures, 2013
    Co-Authors: Huu-tai Thai, Dong-ho Choi
    Abstract:

    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.

T Nguyenthoi - One of the best experts on this subject based on the ideXlab platform.

  • a cell based smoothed discrete shear gap method cs fem dsg3 using layerwise Deformation Theory for dynamic response of composite plates resting on viscoelastic foundation
    Computer Methods in Applied Mechanics and Engineering, 2014
    Co-Authors: P Phungvan, H Nguyenxuan, T Nguyenthoi, H Luongvan, C Thaihoang
    Abstract:

    Abstract A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the first-order shear Deformation Theory (FSDT) was recently proposed for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM-DSG3 is extended to the layerwise Deformation Theory for dynamic response of sandwich and laminated composite plates resting on viscoelastic foundation subjected to a moving mass. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results.

  • a cell based smoothed discrete shear gap method cs fem dsg3 using layerwise Deformation Theory for dynamic response of composite plates resting on viscoelastic foundation
    Computer Methods in Applied Mechanics and Engineering, 2014
    Co-Authors: P Phungvan, H Nguyenxuan, T Nguyenthoi, H Luongvan, C Thaihoang
    Abstract:

    Abstract A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the first-order shear Deformation Theory (FSDT) was recently proposed for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM-DSG3 is extended to the layerwise Deformation Theory for dynamic response of sandwich and laminated composite plates resting on viscoelastic foundation subjected to a moving mass. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results.

Dong-ho Choi - One of the best experts on this subject based on the ideXlab platform.

  • A simple first-order shear Deformation Theory for laminated composite plates
    Composite Structures, 2013
    Co-Authors: Huu-tai Thai, Dong-ho Choi
    Abstract:

    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.

  • a simple first order shear Deformation Theory for the bending and free vibration analysis of functionally graded plates
    Composite Structures, 2013
    Co-Authors: Huu-tai Thai, Dong-ho Choi
    Abstract:

    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.

  • a simple first order shear Deformation Theory for the bending and free vibration analysis of functionally graded plates
    Composite Structures, 2013
    Co-Authors: Huu-tai Thai, Dong-ho Choi
    Abstract:

    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.

  • a refined shear Deformation Theory for free vibration of functionally graded plates on elastic foundation
    Composites Part B-engineering, 2012
    Co-Authors: Huu-tai Thai, Dong-ho Choi
    Abstract:

    Abstract A refined shear Deformation Theory for free vibration of functionally graded plates on elastic foundation is developed. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the parabolic variation of shear strain through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Material properties of functionally graded plate are assumed to vary according to power law distribution of the volume fraction of the constituents. The elastic foundation is modeled as Pasternak foundation. Equations of motion are derived using Hamilton’s principle. Closed-form solution of rectangular plates is derived, and the obtained results are compared well with three-dimensional elasticity solutions and third-order shear Deformation Theory solutions. Finally, the influences of power law index, thickness ratio, foundation parameter, and boundary condition on the natural frequency of plates have been investigated.

P Phungvan - One of the best experts on this subject based on the ideXlab platform.

  • a cell based smoothed discrete shear gap method cs fem dsg3 using layerwise Deformation Theory for dynamic response of composite plates resting on viscoelastic foundation
    Computer Methods in Applied Mechanics and Engineering, 2014
    Co-Authors: P Phungvan, H Nguyenxuan, T Nguyenthoi, H Luongvan, C Thaihoang
    Abstract:

    Abstract A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the first-order shear Deformation Theory (FSDT) was recently proposed for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM-DSG3 is extended to the layerwise Deformation Theory for dynamic response of sandwich and laminated composite plates resting on viscoelastic foundation subjected to a moving mass. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results.

  • a cell based smoothed discrete shear gap method cs fem dsg3 using layerwise Deformation Theory for dynamic response of composite plates resting on viscoelastic foundation
    Computer Methods in Applied Mechanics and Engineering, 2014
    Co-Authors: P Phungvan, H Nguyenxuan, T Nguyenthoi, H Luongvan, C Thaihoang
    Abstract:

    Abstract A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the first-order shear Deformation Theory (FSDT) was recently proposed for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM-DSG3 is extended to the layerwise Deformation Theory for dynamic response of sandwich and laminated composite plates resting on viscoelastic foundation subjected to a moving mass. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results.