Accurate quantum-mechanical simulations have significantly extended the current picture of the Earth and hold a great promise for the future of the Earth and planetary sciences. Studies of phase transitions, equations of state, elasticity and thermoelastic properties of the Earth-forming minerals are essential to geophysics. This chapter gives a basic background of the physics of the deep Earth...

In this paper, we prove the local exact null controllability of the thermoelastic plate model, in the absence of rotational inertia, and under the influence of the (non-Lipschitz) von Kármán nonlinearity. The plate component may be taken to satisfy either the clamped or higher order (and physically relevant) free boundary conditions. In the accompanying analysis, critical use is made of sharp o...

We consider the system of micro-beam resonators in the thermoelastic theory of Lord and Shulmann. First, we prove the uniqueness and instability of solutions when the sign of a parameter is not prescribed. Existence of solutions and uniform bounds for the real part of the spectrum are obtained. We finish the paper by proving the impossibility of the time localization of solutions.

In correcting a small mistake in [10], we can prove a new result on non-exponential stability for a coupled system arising in resonators. This also gives another (surprising and) simple example for a thermoelastic system changing from exponential stability to non-exponential stability when changing from Fourier’s law to Cattaneo’s law in the modeling of heat conduction.

The work deals with the modeling of thermoelastic composites with regular and irregular structures. The approaches to the modeling of the effective properties include the construction of the representative volumes with account for microstructure, the effective moduli method for the mechanics of composites, and the finite element technologies for solving the problems for the representative volumes.

the main aim is to study the two dimensional axisymmetric problem of thick circular plate in modified couple stress theory with heat and mass diffusive sources. the thermoelastic theories with mass diffusion developed by sherief et al. [1] and kumar and kansal [2] have been used to investigate the problem. laplace and hankel transforms technique is applied to obtain the solutions of the governi...

background:  the glenohumeral joint becomes dislocated more than any other major joint because it maintains a wide range of motion and its stability is inherently weak. the most common complication following acute initial shoulder dislocation is recurrent dislocation or chronic instability. imbalance of strength and range of motion in individuals with anterior dislocation can be a contributing ...

We report the first high-precision interferometer using large sapphire mirrors, and we present the first direct, broadband measurements of the fundamental thermal noise in these mirrors. Our results agree well with the thermoelastic-damping noise predictions of Braginsky, et al. and Cerdonio et al., which have been used to predict the astrophysical reach of advanced interferometric gravitationa...

In this study we approach a mixed initial-boundary value problem to modeling a three-phase-lag dipolar thermoelastic body. The constitutive laws in this context are given. We establish a uniqueness result and prove a reciprocal theorem. The variational principle obtained in this context is a generalization of the known Gurtin's principle for classical elasticity.

Transformation plasticity in ZrO2, which is responsible for the high strength and high toughness of advanced ZrO2-based ceramics, is reviewed. The tetragonal ~ monoclinic martensitic transformation is of prime importance, but its successful exploitation requires a good deal of microstructural control. Under certain conditions, the transformation can be reversible, autocatalytic, and thermoelast...