The Experts below are selected from a list of 207 Experts worldwide ranked by ideXlab platform
Jun Huang - One of the best experts on this subject based on the ideXlab platform.
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A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free Thin/Thick Plate Theory
Mathematical Problems in Engineering, 2020Co-Authors: Jun HuangAbstract:A spline finite point method (SFPM) based on a locking-free thin/Thick Plate Theory, which is suitable for analysis of both Thick and thin Plates, is developed to study nonlinear bending behavior of functionally graded material (FGM) Plates with different Thickness in thermal environments. In the proposed method, one direction of the Plate is discretized with a set of uniformly distributed spline nodes instead of meshes and the other direction is expressed with orthogonal functions determined by the boundary conditions. The displacements of the Plate are constructed by the linear combination of orthogonal functions and cubic B-spline interpolation functions with high efficiency for modeling. The locking-free thin/Thick Plate Theory used by the proposed method is based on the first-order shear deformation Theory but takes the shear strains and displacements as basic unknowns. The material properties of the FG Plate are assumed to vary along the Thickness direction following the power function distribution. By comparing with several published research studies based on the finite element method (FEM), the correctness, efficiency, and generality of the new model are validated for rectangular Plates. Moreover, uniform and nonlinear temperature rise conditions are discussed, respectively. The effect of the temperature distribution, in-plane temperature force, and elastic foundation on nonlinear bending under different parameters are discussed in detail.
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a spline finite point method for nonlinear bending analysis of fg Plates in thermal environments based on a locking free thin Thick Plate Theory
Mathematical Problems in Engineering, 2020Co-Authors: Jun HuangAbstract:A spline finite point method (SFPM) based on a locking-free thin/Thick Plate Theory, which is suitable for analysis of both Thick and thin Plates, is developed to study nonlinear bending behavior of functionally graded material (FGM) Plates with different Thickness in thermal environments. In the proposed method, one direction of the Plate is discretized with a set of uniformly distributed spline nodes instead of meshes and the other direction is expressed with orthogonal functions determined by the boundary conditions. The displacements of the Plate are constructed by the linear combination of orthogonal functions and cubic B-spline interpolation functions with high efficiency for modeling. The locking-free thin/Thick Plate Theory used by the proposed method is based on the first-order shear deformation Theory but takes the shear strains and displacements as basic unknowns. The material properties of the FG Plate are assumed to vary along the Thickness direction following the power function distribution. By comparing with several published research studies based on the finite element method (FEM), the correctness, efficiency, and generality of the new model are validated for rectangular Plates. Moreover, uniform and nonlinear temperature rise conditions are discussed, respectively. The effect of the temperature distribution, in-plane temperature force, and elastic foundation on nonlinear bending under different parameters are discussed in detail.
S V Potti - One of the best experts on this subject based on the ideXlab platform.
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a simple model to predict residual velocities of Thick composite laminates subjected to high velocity impact
International Journal of Impact Engineering, 1996Co-Authors: S V PottiAbstract:Abstract A punch curve was used as the “structural constitutive model” that captures the highly nonlinear behavior of the laminate in the penetration process. This model in conjunction with a special two-noded ring element based on the Mindlin Thick Plate Theory was employed to model damage processes during static and dynamic penetration. Different criteria for initiation of damage and plug formation were investigated, and the damage initiation and progression in the target and its effect on the dynamic response were estimated. The model predicts the residual velocity of the projectile at the end of the penetration process. The predicted residual velocities show good agreement with the experimental residual velocities for a range of striking velocities near and above the ballistic penetration limit velocity of the target.
Y. F. Rashed - One of the best experts on this subject based on the ideXlab platform.
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Derivation of particular solutions for linear loading in the Thick Plate Theory
Computational Mechanics, 2000Co-Authors: Y. F. RashedAbstract:In this paper, the particular solutions in the Theory of Thick Plates are derived. These new particular solutions are the analytical solutions of the governing differential equations of equilibrium due to linear domain loading. Uniform domain loading can be considered as a special case of the present formulation. The expressions for the displacement and the traction kernels are derived and given in explicit form. Also the necessary kernels for the internal stress resultants are also derived and given. The derived particular solutions are verified analytically. A new set of boundary integral equation formulation for Thick Plates using the new particular solutions are outlined.
J.m.c. Dos Santos - One of the best experts on this subject based on the ideXlab platform.
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Wave attenuation in elastic metamaterial Thick Plates: Analytical, numerical and experimental investigations
International Journal of Solids and Structures, 2020Co-Authors: Edson Jansen Pedrosa Miranda, E.d. Nobrega, Samuel F. Rodrigues, Clodualdo Aranas, J.m.c. Dos SantosAbstract:Abstract We investigate the complex band structure and forced response of flexural waves propagating in an elastic metamaterial Thick Plate. Mindlin-Reissner Thick Plate Theory is considered. We study the influence of periodic arrays of spring-mass resonators attached to the surface of a homogeneous Thick Plate on the formation of Bragg-type and locally resonant band gaps. The plane wave expansion and extended plane wave expansion approaches are used to compute the complex band structure and wave shapes of the metamaterial Thick Plate with attached spring-mass resonators. An experimental analysis is conducted with a 3D-printed metamaterial Plate with resonators. Modal shapes, forced response and band structure are computed by finite element and wave finite element methods. Analytical, numerical and experimental results present good agreement.
Chiung-shiann Huang - One of the best experts on this subject based on the ideXlab platform.
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on the singularity induced by boundary conditions in a third order Thick Plate Theory
Journal of Applied Mechanics, 2002Co-Authors: Chiung-shiann HuangAbstract:This paper thoroughly examines the singularity of stress resultants of the form r?F() for 0<1 as r0 (Williams-type singularity) at the vertex of an isotropic Thick Plate; the singularity is caused by homogeneous boundary conditions around the vertex. An eigenfunction expansion is applied to derive the first known asymptotic solution for displacement components, from the equilibrium equations of Reddy's third-order shear deformation Plate Theory. The characteristic equations for determining the singularities of stress resultants are presented for ten sets of boundary conditions. These characteristic equations are independent of the Thickness of the Plate, Young's modulus, and shear modulus, but some do depend on Poisson's ratio. The singularity orders of stress resultants for various boundary conditions are expressed in graphic form as a function of the vertex angle. The characteristic equations obtained herein are compared with those from classic Plate Theory and first-order shear deformation Plate Theory. Comparison results indicate that different Plate theories yield different singular behavior for stress resultants. Only the vertex with simply supported radial edges (S(I)_S(I) boundary condition) exhibits the same singular behavior according to all these three Plate theories. ©2002 ASME
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On the Singularity Induced by Boundary Conditions in a Third-Order Thick Plate Theory
Journal of Applied Mechanics, 2002Co-Authors: Chiung-shiann HuangAbstract:This paper thoroughly examines the singularity of stress resultants of the form r?F() for 0