Halpin Tsai Model

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Yushu Chen - One of the best experts on this subject based on the ideXlab platform.

  • flutter analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    Aerospace Science and Technology, 2020
    Co-Authors: Kun Huang, Hulun Guo, Shuqian Cao, Zhaohong Qin, Yushu Chen
    Abstract:

    Abstract This paper investigates the flutter characteristics of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The modified Halpin-Tsai Model and rule of mixture are employed to predict the effective material properties including Young's modulus, mass density and Poisson's ratio. The energy functions of GPL reinforced composite (GPLRC) quadrilateral plates are obtained by the first-order shear deformation theory (FSDT) and first order piston theory. Based on the IMLS-Ritz approximation, the discrete dynamic equation of GPLRC quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing the natural frequencies with those obtained from published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, total number of layers, geometry and size of GPL reinforcements and geometric parameters of quadrilateral plates on the flutter boundary of GPLRC quadrilateral plates.

  • geometrically nonlinear analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    Composites Part B-engineering, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates the nonlinear bending of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified Halpin-Tsai Model and rule of mixture. The first-order shear deformation theory (FSDT) and the IMLS-Ritz approximation are employed to obtain the discrete nonlinear governing equation of quadrilateral plates with large deformation. The Newton-Raphson method is used to solve the nonlinear equation. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of geometric parameters of quadrilateral plates and GPLs distribution pattern, weight fraction, total number of layers, and geometry and size of GPLs on the nondimensional deflection of GPLs reinforced laminated composite quadrilateral plate.

  • vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    International Journal of Mechanical Sciences, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates free vibration of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified HalpinTsai Model and rule of mixture. The first-order shear deformation theory (FSDT) is employed for formulation of the energy functional. Based on the IMLS-Ritz approximation, the discrete vibration equation of the laminated composite quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, geometry and size of GPL reinforcements, total number of layers and geometric parameters of quadrilateral plates on the natural frequencies of GPL reinforced laminated composite quadrilateral plate.

Hulun Guo - One of the best experts on this subject based on the ideXlab platform.

  • flutter analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    Aerospace Science and Technology, 2020
    Co-Authors: Kun Huang, Hulun Guo, Shuqian Cao, Zhaohong Qin, Yushu Chen
    Abstract:

    Abstract This paper investigates the flutter characteristics of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The modified Halpin-Tsai Model and rule of mixture are employed to predict the effective material properties including Young's modulus, mass density and Poisson's ratio. The energy functions of GPL reinforced composite (GPLRC) quadrilateral plates are obtained by the first-order shear deformation theory (FSDT) and first order piston theory. Based on the IMLS-Ritz approximation, the discrete dynamic equation of GPLRC quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing the natural frequencies with those obtained from published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, total number of layers, geometry and size of GPL reinforcements and geometric parameters of quadrilateral plates on the flutter boundary of GPLRC quadrilateral plates.

  • geometrically nonlinear analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    Composites Part B-engineering, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates the nonlinear bending of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified Halpin-Tsai Model and rule of mixture. The first-order shear deformation theory (FSDT) and the IMLS-Ritz approximation are employed to obtain the discrete nonlinear governing equation of quadrilateral plates with large deformation. The Newton-Raphson method is used to solve the nonlinear equation. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of geometric parameters of quadrilateral plates and GPLs distribution pattern, weight fraction, total number of layers, and geometry and size of GPLs on the nondimensional deflection of GPLs reinforced laminated composite quadrilateral plate.

  • vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    International Journal of Mechanical Sciences, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates free vibration of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified HalpinTsai Model and rule of mixture. The first-order shear deformation theory (FSDT) is employed for formulation of the energy functional. Based on the IMLS-Ritz approximation, the discrete vibration equation of the laminated composite quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, geometry and size of GPL reinforcements, total number of layers and geometric parameters of quadrilateral plates on the natural frequencies of GPL reinforced laminated composite quadrilateral plate.

Jie Yang - One of the best experts on this subject based on the ideXlab platform.

  • three dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell
    Composite Structures, 2018
    Co-Authors: S Kitipornchai, Weiqiu Chen, Jie Yang
    Abstract:

    Abstract The buckling and free vibration of initially stressed functionally graded cylindrical shell reinforced with non-uniformly distributed graphene platelets (GPLs) are investigated using the state-space formulation based on three-dimensional elasticity theory. The shell is under an axial initial stress and composed of multilayers with GPLs uniformly dispersed in each individual layer but its weight fraction changing layer-by-layer along the thickness direction. The modified Halpin-Tsai Model and rule of mixtures are employed to evaluate the effective elastic properties of the GPL-reinforced shell. Analytical buckling and frequency solutions are obtained for simply supported shells. Numerical results are presented for functionally graded GPL-reinforced cylindrical shells with five GPL dispersion patterns (GPL-UD, GPL-V, GPL-A, GPL-X, and GPL-O). The effects of GPL weight fraction, dispersion pattern, geometry, and size as well as the influence of initial stress on the buckling and free vibration characteristics of the shell are discussed in detail. It is found that the addition of a small amount of GPLs significantly increases the critical buckling stress and natural frequencies. The GPL-X pattern outperforms other patterns for thin composite shells while the uniform pattern GPL-UD works better for thick composite shells.

  • parametric instability of thermo mechanically loaded functionally graded graphene reinforced nanocomposite plates
    International Journal of Mechanical Sciences, 2018
    Co-Authors: Jie Yang, S Kitipornchai
    Abstract:

    This paper investigates the parametric instability of functionally graded graphene reinforced nanocomposite plates that undergo a periodic uniaxial in-plane force and a uniform temperature rise. The plate is composed of multiple graphene platelet reinforced composite (GPLRC) layers in which graphene platelets (GPLs) are uniformly distributed in each individual layer with GPL concentration varying layer-wise across the plate thickness. The modified HalpinTsai Model that takes into account the GPL geometry effect is employed to calculate the Young's modulus of the GPLRC. Based on the first-order shear deformation theory, the governing equations are deduced and then are solved by using the differential quadrature approach integrated with the Bolotin's method. A parametric study is undertaken to show the influences of GPL distribution pattern, concentration and geometry, temperature change, static in-plane force, plate geometry and boundary condition on the parametric instability of functionally graded multilayer GPLRC plates. It is found that the addition of a small amount of GPL reinforcements considerably increases the critical buckling load and natural frequencies but reduces the size of unstable region. The reinforcing effect is the best when the surface layers of the plate are GPL-rich.

  • bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets gpls
    Composite Structures, 2017
    Co-Authors: Zhan Zhao, Chuang Feng, Yu Wang, Jie Yang
    Abstract:

    Abstract This paper investigates the bending and vibration behaviors of a novel class of functionally graded trapezoidal plates reinforced with graphene nanoplatelets (GPLs) by employing the finite element method. Modified Halpin-Tsai Model and the rule of mixture are used to determine the effective material properties including Young’s modulus, mass density and Poisson’s ratio of the nanocomposites. A comprehensive parametric study is conducted to examine the effects of the distribution, concentration and dimension of GPL and the plate geometry on the static and dynamic behaviors of GPL reinforced functionally graded trapezoidal plates. The results demonstrate that adding a small amount of GPLs as reinforcing nanofillers can significantly enhance the stiffness of the plate and the most effective reinforcing effect can be achieved by distributing more GPLs with a larger surface area near the top and bottom surfaces of the plate. Also, the bending and vibration behaviors of trapezoidal plates with such a distribution pattern are more sensitive to the GPL weight fraction and plate geometry compared to the other distribution patterns. Moreover, it is found that the static and dynamic deflections of the plate tend to be lower as either of the two base angles becomes smaller.

  • free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets
    Composite Structures, 2017
    Co-Authors: Mitao Song, S Kitipornchai, Jie Yang
    Abstract:

    This paper investigates the free and forced vibration characteristics of functionally graded multilayer graphene nanoplatelet (GPL)/polymer composite plates within the framework of the first-order shear deformation plate theory. The weight fraction of GPL nanofillers shows a layer-wise variation along the thickness direction with GPLs uniformly dispersed in the polymer matrix in each individual layer. The effective Young's modulus is predicted by the modified Halpin-Tsai Model while the effective Poisson's ratio and mass density are determined by the rule of mixture. Governing differential equations of motion are derived and Navier solution based technique is employed to obtain the natural frequencies and dynamic response of simply supported functionally graded GPL/polymer plates under a dynamic loading. A parametric study is conducted, with a particular focus on the effects of GPL distribution pattern, weight fraction, geometry and size as well as the total number of layers on the dynamic characteristics of the plates.

Shuqian Cao - One of the best experts on this subject based on the ideXlab platform.

  • flutter analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    Aerospace Science and Technology, 2020
    Co-Authors: Kun Huang, Hulun Guo, Shuqian Cao, Zhaohong Qin, Yushu Chen
    Abstract:

    Abstract This paper investigates the flutter characteristics of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The modified Halpin-Tsai Model and rule of mixture are employed to predict the effective material properties including Young's modulus, mass density and Poisson's ratio. The energy functions of GPL reinforced composite (GPLRC) quadrilateral plates are obtained by the first-order shear deformation theory (FSDT) and first order piston theory. Based on the IMLS-Ritz approximation, the discrete dynamic equation of GPLRC quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing the natural frequencies with those obtained from published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, total number of layers, geometry and size of GPL reinforcements and geometric parameters of quadrilateral plates on the flutter boundary of GPLRC quadrilateral plates.

  • geometrically nonlinear analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    Composites Part B-engineering, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates the nonlinear bending of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified Halpin-Tsai Model and rule of mixture. The first-order shear deformation theory (FSDT) and the IMLS-Ritz approximation are employed to obtain the discrete nonlinear governing equation of quadrilateral plates with large deformation. The Newton-Raphson method is used to solve the nonlinear equation. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of geometric parameters of quadrilateral plates and GPLs distribution pattern, weight fraction, total number of layers, and geometry and size of GPLs on the nondimensional deflection of GPLs reinforced laminated composite quadrilateral plate.

  • vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    International Journal of Mechanical Sciences, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates free vibration of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified HalpinTsai Model and rule of mixture. The first-order shear deformation theory (FSDT) is employed for formulation of the energy functional. Based on the IMLS-Ritz approximation, the discrete vibration equation of the laminated composite quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, geometry and size of GPL reinforcements, total number of layers and geometric parameters of quadrilateral plates on the natural frequencies of GPL reinforced laminated composite quadrilateral plate.

Tianzhi Yang - One of the best experts on this subject based on the ideXlab platform.

  • geometrically nonlinear analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    Composites Part B-engineering, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates the nonlinear bending of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified Halpin-Tsai Model and rule of mixture. The first-order shear deformation theory (FSDT) and the IMLS-Ritz approximation are employed to obtain the discrete nonlinear governing equation of quadrilateral plates with large deformation. The Newton-Raphson method is used to solve the nonlinear equation. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of geometric parameters of quadrilateral plates and GPLs distribution pattern, weight fraction, total number of layers, and geometry and size of GPLs on the nondimensional deflection of GPLs reinforced laminated composite quadrilateral plate.

  • vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element free imls ritz method
    International Journal of Mechanical Sciences, 2018
    Co-Authors: Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen
    Abstract:

    Abstract This paper investigates free vibration of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified HalpinTsai Model and rule of mixture. The first-order shear deformation theory (FSDT) is employed for formulation of the energy functional. Based on the IMLS-Ritz approximation, the discrete vibration equation of the laminated composite quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, geometry and size of GPL reinforcements, total number of layers and geometric parameters of quadrilateral plates on the natural frequencies of GPL reinforced laminated composite quadrilateral plate.