Explore chapters and articles related to this topic
Effect of Corrugation on the Deformation Behavior of Spatially Graded Composite Panels
Published in Mohamed Thariq Hameed Sultan, Vishesh Ranjan Kar, Subrata Kumar Panda, Kandaswamy Jayakrishna, Advanced Composite Materials and Structures, 2023
Abhilash Karakoti, Vishesh Ranjan Kar, K. Jayakrishna, Mohamed Thariq Hameed Sultan
The deflection responses of flat noncorrugated (nw = 1) and corrugated (nw = 2, 5, 7, 10) FG panels are examined under uniform load with different geometrical parameters and support conditions. The sinusoidal geometry is introduced via mathematical curvature equation. FSDT kinematics is used to obtain the strain terms with six degrees-of-freedom. Material properties are evaluated through power law formulation. Final governing equations are obtained by minimum total potential energy principle. The significance of the proposed model is evaluated by comparing it with previously published results. For the first time, sinusoidal corrugation of FGM panels is taken into consideration and compared with the deflection responses of the flat FG panel. Numerical experimentation of flat noncorrugated and corrugated FG panels is under uniform load, and the following remarks are produced:The corrugated FG panels are highly stiff, followed by noncorrugated and flat FG panel.Corrugated FG panels with high aspect ratio, high wave height, and lower side-to-thickness ratio are stiff when subjected to uniform load.Number of waves (nw) in a corrugated panel significantly affects the deflection responses. The higher the number of waves, the stiffer is the corrugated panel.In all the cases, with increase in the power-law index (Pind), the stiffness of the FG panel is decreasing as the material properties change from ceramic rich (Pind = 0) to metal rich.Many different numerical and experimental analyses could be considered for future work. Limited literature is available related to the analyses of corrugated panels, and the presented study mainly has focused on the deflection behavior of corrugated FG panel. Hence, the presented model can modified to obtain the buckling and free vibration behavior of corrugated panels to examine its efficacy. Corrugated structures having different geometries can also be compared with the experimental results to show its feasibility and performance in the real world.
Nonlinear fully-coupled thermoelastic analysis of bidirectional porous functionally graded doubly-curved shell panels with optimum material distribution
Published in Mechanics of Advanced Materials and Structures, 2023
Samarjeet Kumar, Vishesh Ranjan Kar
Using the minimum total potential energy principle (δΠ = 0) leads to the following general equation, as where, and are the structural stiffness, coupled stiffness and conductance matrices, respectively. and are the mechanical and thermal force vectors, respectively. These matrices and vectors are expressed, as
Finite-element buckling analysis of functionally graded GPL-reinforced composite plates with a circular hole
Published in Mechanics Based Design of Structures and Machines, 2021
Xin Geng, Linfeng Zhao, Wei Zhou
To the best of authors’ knowledge, the effects of cutouts on the buckling analysis of GPL-RC plates were not studied up to now. In this regard, this study presents the buckling analysis of shear deformable functionally graded GPL-RC plates with a circular hole using the FE method. The overall material properties of GPL-RC are estimated using the modified Halpin–Tsai micromechanical model. To perform the FE analysis, the energy functional is presented on the basis of FSDPT. Then, the FE governing equations are obtained employing the minimum total potential energy principle. The in-house FE code is then developed in MATLAB software to model the problem. The numerical results are finally obtained using the eight-node quadrilateral element. Diverse numerical results are presented to study the impacts of geometrical and material factors such as hole diameter, volume fraction and dispersion pattern of GPLs on the buckling behavior of functionally graded GPL-RC plates with cutout.
Mechanical and thermal stresses in radially functionally graded hollow cylinders with variable thickness due to symmetric loads
Published in Australian Journal of Mechanical Engineering, 2020
Mehdi Jabbari, Mohammad Zamani Nejad
The purpose of this study is to present a thermo-elastic analysis for FGM thick cylindrical shells having axially linear varying thickness making use of the HSDT. It is assumed that Poisson’s ratio takes a constant value, and other properties are assumed to vary radially according to power form. The governing equations are derived, using minimum total potential energy principle. The heat conduction is also taken into consideration in the analysis. These equations in the axisymmetric case and thermo-elasto-static state constitute a system of ordinary differential equations with variable coefficients. Normally, these equations do not have exact solutions. The MLM is used in order to solve the system of equations with variable coefficients. By applying boundary conditions, the governing set of differential equations with constant coefficients is solved. Finally, the calculated displacements and stresses have been compared with the finite-element solution and analytical solution.