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.

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...

We determine the detailed qualitative behavior of radially symmetric equilibrium states with two or more phases for general classes of nonlinear thermoelastic materials. We treat the cases of structured and non-structured interface. Methods are based on a combination of geometric constructions with phase-plane analyses of the governing equations. A special feature of the solutions is that they ...

Introduction. The derivation of the mechanical behavior of a flat plate as the limit behavior of a three-dimensional flat solid whose thickness tends to zero is a well-established theory since the works of Goldenveizer [G] or Ciarlet and Destuynder [CD1], Due attention has been paid to the static response of such plates for various linear or nonlinear mechanical behaviors (Ciarlet-Destuynder [C...

Uncooled microcantilever-based infrared (IR) detectors have recently gained interest due to their low noise equivalent temperature difference (NETD), while concurrently maintaining low costs. These properties have made them available for a wider range of applications. However, the curvature induced by residual strain mismatch severely compromises the device’s performance. Therefore, to meet per...

This chapter provides a brief introduction to the following basic ideas pertaining to thermoelastic phase transitions: the lattice theory of martensite, phase boundaries, energy minimization, WeierstrassErdmann corner conditions, phase equilibrium, nonequilibrium processes, hysteresis, the notion of driving force, dynamic phase transitions, nonuniqueness, kinetic law, nucleation condition, and ...

Using multipler techniques and Lyapunov methods, we derive explicit decay rates for the energy in the higher-dimensional system of thermoelasticity with a nonlinear velocity feedback on part of the boundary of a thermoelastic body, which is clamped along the rest of its boundary.

We study a nonlinear transmission problem for a plate which consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. Main result is the proof of asymptotic smoothness of this dynamical system and existence of a compact global attractor in special cases.