The Experts below are selected from a list of 11913 Experts worldwide ranked by ideXlab platform

K M Liew - One of the best experts on this subject based on the ideXlab platform.

  • geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local petrov galerkin approach with moving kriging interpolation
    Composite Structures, 2014
    Co-Authors: Ping Zhu, L W Zhang, K M Liew
    Abstract:

    Abstract A meshless local Petrov–Galerkin approach based on the moving Kriging interpolation technique is developed for geometrically nonlinear thermoelastic analysis of functionally graded plates in thermal environments (prescribed a temperature gradient or heat flux). The Kriging interpolation Method makes the constructed shape functions possess Kronecker delta function property and thus special techniques for enforcing essential boundary conditions are avoided. In the thermal analysis, the dependency of thermal conductivity of functionally graded materials on temperature is involved, which gives rise to a nonlinear partial differential heat conduction equation. The nonlinear formulation of large deflection of the functionally graded plates is based on the first-order shear deformation plate theory in the von Karman sense by taking small strains and moderate rotations into account. The incremental form of nonlinear equations is obtained by Taylor series expansion and the tangent stiffness matrix is explicitly developed in two different ways within the framework of the local meshless Method. The nonlinear solutions are computed using the Newton–Raphson Iteration Method. Parametric and convergence studies are conducted to examine the stability of the proposed Method and then several selected numerical examples are presented to demonstrate the accuracy and effectiveness of the Method for nonlinear bending problems of functionally graded plates in thermal environments.

Ping Zhu - One of the best experts on this subject based on the ideXlab platform.

  • geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local petrov galerkin approach with moving kriging interpolation
    Composite Structures, 2014
    Co-Authors: Ping Zhu, L W Zhang, K M Liew
    Abstract:

    Abstract A meshless local Petrov–Galerkin approach based on the moving Kriging interpolation technique is developed for geometrically nonlinear thermoelastic analysis of functionally graded plates in thermal environments (prescribed a temperature gradient or heat flux). The Kriging interpolation Method makes the constructed shape functions possess Kronecker delta function property and thus special techniques for enforcing essential boundary conditions are avoided. In the thermal analysis, the dependency of thermal conductivity of functionally graded materials on temperature is involved, which gives rise to a nonlinear partial differential heat conduction equation. The nonlinear formulation of large deflection of the functionally graded plates is based on the first-order shear deformation plate theory in the von Karman sense by taking small strains and moderate rotations into account. The incremental form of nonlinear equations is obtained by Taylor series expansion and the tangent stiffness matrix is explicitly developed in two different ways within the framework of the local meshless Method. The nonlinear solutions are computed using the Newton–Raphson Iteration Method. Parametric and convergence studies are conducted to examine the stability of the proposed Method and then several selected numerical examples are presented to demonstrate the accuracy and effectiveness of the Method for nonlinear bending problems of functionally graded plates in thermal environments.

Y Kaga - One of the best experts on this subject based on the ideXlab platform.

  • effects of curvature and convective heat transfer in curved square duct flows
    Journal of Fluids Engineering-transactions of The Asme, 2006
    Co-Authors: Rabindra Nath Mondal, Y Kaga, Toru Hyakutake, Shinichiro Yanase
    Abstract:

    Non-isothermal flows with convective heat transfer through a curved duct of square cross section are numerically studied by using a spectral Method, and covering a wide range of curvature, δ, 0 < δ≥0.5 and the Dean number, Dn, 0≤ Dn≤ 6000. A temperature difference is applied across the vertical sidewalls for the Grashof number Gr= 100, where the outer wall is heated and the inner one cooled. Steady solutions are obtained by the Newton-Raphson Iteration Method and their linear stability is investigated

  • numerical study of non isothermal flow with convective heat transfer in a curved rectangular duct
    International Journal of Thermal Sciences, 2005
    Co-Authors: Shinichiro Yanase, Rabindra Nath Mondal, Y Kaga
    Abstract:

    Non-isothermal flow with convective heat transfer through a curved rectangular duct of aspect ratio 2 is numerically studied by use of the spectral Method with a temperature difference between the vertical outer (heated) and inner (cooled) sidewalls. Numerical calculations are carried out for the Grashof numbers 100Iteration Method for both the cases. Linear stability characteristics of each branch are then studied. It is found that among multiple steady solutions obtained, only one steady solution is linearly stable for a single range of the Dean number for Gr=500, for Gr=1000, on the other hand, linear stability region exists in three different intervals of the Dean number on the same branch. Nusselt numbers are calculated as an index of the horizontal heat transfer for differentially heated vertical sidewalls. It is found that the convection due to the secondary flow, enhanced by the centrifugal force, increases heat transfer significantly from the heated wall to the fluid, and whence the flow becomes periodic and then chaotic, as the Dean number increases, the rate of heat transfer increases remarkably with respect to a straight channel.

  • zero mean absolute vorticity state and vortical structures in rotating channel flow
    Journal of the Physical Society of Japan, 2004
    Co-Authors: Shinichiro Yanase, Y Kaga
    Abstract:

    The plane-Poiseuille-type flow is numerically investigated in a rotating coordinate system with small system rotation rates for low Reynolds numbers. We obtained two-dimensional and three-dimensional solutions which exhibit characteristic coherent vortical structures by time-evolution calculations of the Fourier and Chebyshev expansions. It is interesting that mean-absolute-vorticity becomes nearly zero in the region where the vortical structures concentrate. We found for relatively small Reynolds number and rotation number ranges that two-dimensional solutions and traveling-wave solutions having the same spatial symmetry are stably maintained. We also found a two-dimensional periodic solution which switches two and four vortices states. The asymptotic states of the time-developing solutions are obtained as steady or traveling-wave solutions by the Newton–Raphson Iteration Method.

L W Zhang - One of the best experts on this subject based on the ideXlab platform.

  • geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local petrov galerkin approach with moving kriging interpolation
    Composite Structures, 2014
    Co-Authors: Ping Zhu, L W Zhang, K M Liew
    Abstract:

    Abstract A meshless local Petrov–Galerkin approach based on the moving Kriging interpolation technique is developed for geometrically nonlinear thermoelastic analysis of functionally graded plates in thermal environments (prescribed a temperature gradient or heat flux). The Kriging interpolation Method makes the constructed shape functions possess Kronecker delta function property and thus special techniques for enforcing essential boundary conditions are avoided. In the thermal analysis, the dependency of thermal conductivity of functionally graded materials on temperature is involved, which gives rise to a nonlinear partial differential heat conduction equation. The nonlinear formulation of large deflection of the functionally graded plates is based on the first-order shear deformation plate theory in the von Karman sense by taking small strains and moderate rotations into account. The incremental form of nonlinear equations is obtained by Taylor series expansion and the tangent stiffness matrix is explicitly developed in two different ways within the framework of the local meshless Method. The nonlinear solutions are computed using the Newton–Raphson Iteration Method. Parametric and convergence studies are conducted to examine the stability of the proposed Method and then several selected numerical examples are presented to demonstrate the accuracy and effectiveness of the Method for nonlinear bending problems of functionally graded plates in thermal environments.

Shinichiro Yanase - One of the best experts on this subject based on the ideXlab platform.

  • effects of curvature and convective heat transfer in curved square duct flows
    Journal of Fluids Engineering-transactions of The Asme, 2006
    Co-Authors: Rabindra Nath Mondal, Y Kaga, Toru Hyakutake, Shinichiro Yanase
    Abstract:

    Non-isothermal flows with convective heat transfer through a curved duct of square cross section are numerically studied by using a spectral Method, and covering a wide range of curvature, δ, 0 < δ≥0.5 and the Dean number, Dn, 0≤ Dn≤ 6000. A temperature difference is applied across the vertical sidewalls for the Grashof number Gr= 100, where the outer wall is heated and the inner one cooled. Steady solutions are obtained by the Newton-Raphson Iteration Method and their linear stability is investigated

  • numerical study of non isothermal flow with convective heat transfer in a curved rectangular duct
    International Journal of Thermal Sciences, 2005
    Co-Authors: Shinichiro Yanase, Rabindra Nath Mondal, Y Kaga
    Abstract:

    Non-isothermal flow with convective heat transfer through a curved rectangular duct of aspect ratio 2 is numerically studied by use of the spectral Method with a temperature difference between the vertical outer (heated) and inner (cooled) sidewalls. Numerical calculations are carried out for the Grashof numbers 100Iteration Method for both the cases. Linear stability characteristics of each branch are then studied. It is found that among multiple steady solutions obtained, only one steady solution is linearly stable for a single range of the Dean number for Gr=500, for Gr=1000, on the other hand, linear stability region exists in three different intervals of the Dean number on the same branch. Nusselt numbers are calculated as an index of the horizontal heat transfer for differentially heated vertical sidewalls. It is found that the convection due to the secondary flow, enhanced by the centrifugal force, increases heat transfer significantly from the heated wall to the fluid, and whence the flow becomes periodic and then chaotic, as the Dean number increases, the rate of heat transfer increases remarkably with respect to a straight channel.

  • zero mean absolute vorticity state and vortical structures in rotating channel flow
    Journal of the Physical Society of Japan, 2004
    Co-Authors: Shinichiro Yanase, Y Kaga
    Abstract:

    The plane-Poiseuille-type flow is numerically investigated in a rotating coordinate system with small system rotation rates for low Reynolds numbers. We obtained two-dimensional and three-dimensional solutions which exhibit characteristic coherent vortical structures by time-evolution calculations of the Fourier and Chebyshev expansions. It is interesting that mean-absolute-vorticity becomes nearly zero in the region where the vortical structures concentrate. We found for relatively small Reynolds number and rotation number ranges that two-dimensional solutions and traveling-wave solutions having the same spatial symmetry are stably maintained. We also found a two-dimensional periodic solution which switches two and four vortices states. The asymptotic states of the time-developing solutions are obtained as steady or traveling-wave solutions by the Newton–Raphson Iteration Method.