عنوان المقالة:التحليل العددي لسلوك الانبعاج الحراري-الميكانيكي للألواح المتدرجة وظيفيًا Numerical investigation of the thermo-mechanical buckling behavior of the functionally graded plates
In this study, it is aimed to develop a model for calculating the buckling liımit of Functionally Graded Plates (FDP) operating under thermo-mechanical loads. In this context, the extended Kantorovich method (EKM) is implemented to the problem of the thermal and thero-mechanical bukling of plates for the first time. In addition, EKM was also implemented in the buckling analysis of the skew plates for the first time. A new derivation of the buckling equations using EKM has been presented. The derivation is based on Trefftz stability criteria and obtained using the calculus of variation. The buckling equations are obtained based on many plate theories. Both thin and thick plates are treated in this work. The numerical results are validated by comparing them to the available results in the literature and to the results obtained using FEM in ANSYS program. Linear relations between critical temperatures of thin FDP under various temperature distributions have been observed and derived. The effects of the stiffness of the elastic foundation, the dependency of the material properties on temperature, and the distribution of the temperature through the thick FDP on the buckling capacity are all investigated. It is found that the stiffness of the elastic foundation scales up the buckling capacity of the FDP. In addition, it is also observed that for plates with some boundary conditions the high values of the stiffness of the elastic foundation changes the thermo-mechanical buckling curve. EKM is found simple and effective in the eigenvalue buckling analysis of FGP under thermal and/or mechanical loads. EKM is found simple and accurate in the eigenvalue buckling of skew plates. However, EKM it requires more terms and thus longer computation times as the skew angle increases. This makes EKM very slow in this particular case of skew plate. Future works should be in the direction of implementing the EKM to the post-buckling problem. Another direction is to expand the derivation given here to include more complexities of the plate problem. For example, the plasticity, complex geometries and the various configurations of the plate problem
احمد حسن احمد حسن | Ahmed Hassan Ahmed Hassan | 5618