Mechanics Behavioral Analysis Of Functionally Graded Beam And Plate Structures

Functionally graded materials(FGM) constitute a material refers to the elements (composition, structure) along a certain direction to the other side by the side of positive change for the gradient, so that the nature and function of materials was also a new type of gradient changes in non-uniform composite material. FGM with its position in the space of continuous changes in the volume content of components, which makes the nature of the structure of the location in space are also continuous changes, thereby eliminating the material properties of the mutation, you can better avoid or reduce the phenomenon of stress concentration . FGM can give full play to high temperature ceramics, and metal corrosion-resistant high strength, good toughness characteristics, but also a very good solution to match the force of metal and ceramic bond strength caused by low heat expansion coefficient of non-conforming issues.Functionally graded thermal barrier materials in high temperature environment show good performance, are considered for future high-speed spacecraft, the nuclear industry and chemical industry in areas such as a potential material. Therefore, the functionally graded structure of the mechanical behavior of materials research, has attracted the interest of many researchers.In this paper, research the FGM circular plate beams and linear and nonlinear bending, FGM beam buckling and so on.(一) Functionally graded material beam bending problem. First of all, based on the classical beam theory, third-order shear beam theory of FGM beam equation of motion. These equations of motion for the bending problem can be degraded, and the third-order shear beam theory and the equation can degenerate into the first-order shear theory of the basic equation.Then, using differential quadrature method to study the theory in the three homogeneous material under the beam and the linear FGM beam bending problem, the use of numerical results from the study of the material gradient nature of factors such as slenderness ratio on the impact of beam bending, and compared the corresponding results under a variety of theoretical differences. Finally, the establishment of the non-linear bending equation of FGM beam, and the use of differential quadrature method for nonlinear bending of the numerical solution of the issue.(二) Functionally graded laminated circular plate bending problems. First of all, based on first-order shear-deformation plate theory derived from FGM laminated circular plate bending non-linear equations, the equation can degenerate into isotropic FGM plate and circular plate bending equation. Then, differential quadrature method with an analysis of isotropic circular plate, FGM and FGM laminated circular plate linear circular plate bending problems.Finally, the study of nonlinear FGM circular plate bending problems.(三) Functionally graded beams buckling. Based on the Reddy third-order shear theory, the use of differential quadrature method to study the buckling of FGM beam, Numerical results and analysis of the use of temperature-dependent nature of the material, as well as factors such as slender than the impact on the critical load.