This paper presents a thermoelastic bending analysis of functionally graded sandwich plates by using a new quasi-3D hybrid type higher order shear deformation theory (HSDT). The mathematical model contains only 5 unknowns as the first order shear deformation theory (FSDT). The nonlinear term of the temperature field is modeled in such way that can be different from the shape functions of the di...

We examine thermoelastic equations of state for silicate perovskite based on data from recent static compressiori studies. We analyze trade-offs among the fitting parameters arid examine data sets for possible effects of metastability and of Mg-Fe solid solution. Significant differences are found between equations of' state based on low pressure measurements obtained for perovskite outside of i...

Knee meniscus is a hydrated tissue; it is a fibrocartilage of the knee joint composed primarily of water. We present results of interferometric surface monitoring by which we measure physical properties of human knee meniscal cartilage. The physical response of biological tissue to a short laser pulse is primarily thermomechanical. When the pulse is shorter than characteristic times (thermal di...

In this work we give a result of exact controllability for a thermoelastic system in which the control term is placed solely in the thermal equation. With such an indirect control input, one is able to control exactly the displacement of the plate, as well as the temperature. This exact controllability occurs in arbitrarily small time. In the case that the moment of inertia parameter for the pl...

We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R, n ≤ 3. Existence of finite energy solutions describing the dynamics of a nonlinear thermoelastic plate is established. In addition asymptotic long time behavior of weak solutions is discussed. It is shown that finite energy solutions decay exponentially to zero with ...

The effect of geometry on thermoelastic damping in micro-beam resonators is evaluated using an eigenvalue formulation and a customized finite element method. The vented clamped–clamped (CC) and clamped-free (CF) beams with square-shaped vents along their centerlines, are both analyzed by the finite element method. The quality factor and the resonant frequency are obtained as functions of variou...

We investigate the thermoelastic properties of close-packed phases of iron at pressures up to 400 GPa and temperature to 6000 K using a tight-binding total-energy method and the cell model of the vibrational partition function. The calculated properties are in good agreement with available static and shock-wave experimental measurements. The compressional behavior of a number of thermoelastic p...

An idealized model consisting of a thermal conductor and a thermal insulator separated by a thin layer of lubricating fluid is developed to investigate thermoelastic instability with fluid lubrication. The governing equations are solved for the critical speed. A new dimensionless parameter H0 is defined to predict the critical speed. Furthermore, the effects of various materials and the wavelen...

Besides permitting an accurate determination of the ferromagnetic-to-paramagnetic phase transition temperature and the characteristic temperatures for the beginning and end of the growth of martensite (austenite) phase at the expense of austenite (martensite) phase while cooling (heating), the results of an extensive ac susceptibility, sound velocity and internal friction investigation of the t...

In this paper, the basic governing equations for isotropic and homogeneous generalized thermoelastic half-space under hydrostatic initial stress are formulated in the context of the Green and Naghdi theory of types II and III. These governing equations are solved analytically to obtain the dimensional velocities in an xy-plane. It is shown that there exist three plane waves, namely a thermal wa...