In this article, an exact analytical solution for thermal buckling analysis of thin functionallygraded (FG) rectangular plates is presented. Based on the classical plate theory and using the principle ofminimum total potential energy, the stability equations are obtained. Since the material properties in FGmaterials are functions of the coordinates (specially the thickness), the stability equat...

in a number of NDE applications. Recent development Ultrasonic Lamb wave techniques are widely used in dry contact Lamb wave transducers enables one to efficiently excite Lamb waves without the aid of liquid couplant. However. i n order to perform thickness measurement i n a plate-like structures. the transducer to accuracy. which places strict mechanical requirements transducer distance has to...

Thickness-shear vibrations of a plate is one of the most widely used functioning modes of quartz crystal resonators. For an analysis of vibrations, the Mindlin and Lee plate theories based on the displacement expansion of the thickness coordinate have been used as the linear theories. However, due to lacking of available method and complexity of the problem, the nonlinear thickness-shear vibrat...

We study the steady-state and transient responses of a second-order elastic plate by implementing an asymptotic analysis three-dimensional equations with respect to two geometric characteristics seen as parameters: thickness inner material length. Depending on their ratio, four different models arise. Conditions under which Reissner–Mindlin kinematics may appear are discussed while influence cr...

A three-dimensional exact solution is presented for free and forced vibrations of simply supported functionally graded rectangular plates. Suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series me...

We devised a new method for examining the structural changes that occur in trabecular bone in aging and in osteoporosis. With simultaneous measurement of total perimeter and bone area in thin sections, indirect indices of mean trabecular plate thickness (MTPT) and mean trabecular plate density (MTPD) can be derived, such that trabecular bone volume = MTPD X MTPT. MTPD is an index of the probabi...