Thermal effect on transverse vibrations of a nonhomogeneous rectangular thin plate subjected to a known temperature distribution

In this work, a model of thermoelasticity based upon the Kirchhoff–Love plate theory is constructed for studying the thermoelastic vibration of an arbitrary functionally graded rectangular thin plate subjected to a temperature distribution. The problem is solved in the context of the theory of dual-phase-lag of thermoelasticity. The plate is taken to be clamped on two opposite edges; one of those edges is subjected to a given temperature distribution, while the other is thermally insulated. The normal mode analysis is employed to find exact expressions for temperature, deflection, thermal stresses, and bending moments. As an illustrative example, the results were presented graphically for a plate made of a silicon material to show the consistency of the results.

Anti-Buckling Design of Rectangular Thin Plate Based on Local Surface Nanocrystallization

In this paper, a novel local surface nanocrystallization treatment is introduced to design the anti-buckling rectangular plate. The mechanical properties and critical buckling loads of the plates are greatly improved by the surface nanocrystallization technology. Several local nanocrystallization layouts, including the horizonal stripes distribution, the vertical stripes distribution and the spaced latticed blocks distribution, are designed and numerical simulations are carried out to evaluate the stability of the plates. Results show that the critical buckling load was significantly improved by the local nanocrystallization treatment. Among all the designs, the critical buckling loads for the vertical nanocrystallization layouts is the optimal one. And the technology can also be extended to the anti-buckling design of other structures.