In this paper we consider the thermoelastic plate equation with localized thermal dissipation of memory type, proposed by Gurtin and Pipkin [3]. We will show that the solution of the corresponding model decays exponentially as time goes to infinity, provided the relaxation function decays exponentially. The mean difference with others thermoelastic system is that the whole system is of hyperbol...

In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth, rounded corners lead to voids between the layers, while close packing of the layers results in geometrically induced curvature singularities. When voids are penalized by external pressure, the system is forced to trade off these competing ef...

The tetragonal apohost phase of p-tert-butyltetramethoxythiacalix[4]arene absorbs hydrochloric acid and iodine. These guest molecules occupy different sites in the solid-state structure - either within the small intrinsic voids of the macrocycle or within the interstitial spaces between the host molecules. This study illustrates the dynamic deformation of the host, providing strong mechanistic ...

Stress-induced voiding (SIV) is investigated in Cu-based, deep-submicron, dual damascene technology. Two failure modes are revealed by TEM failure analysis. For one mode, voids are formed under the via when the via connects a wide metal lead below it. For the via which is instead under a wide metal line, voids are formed right above the via bottom. The void source results from the supersaturate...

[1] It is known that GPS time series contain a seasonal variation that is not due to tectonic motions, and it has recently been shown that crustal seismic velocities may also vary seasonally. In order to explain these changes, a number of hypotheses have been given, among which thermoelastic and hydrology‐induced stresses and strains are leading candidates. Unfortunately, though, since a genera...

In this paper nonclassical dynamical model for thermoelastic bodies with three phase-lags is studied. Applying variational formulation of the general three-dimensional initial-boundary value problem existence and uniqueness of solution in suitable spaces is proved. Spectral algorithm of approximation of the three-dimensional initial-boundary value problem for thermoelastic shell by a sequence o...

background: volume fraction (vf) and location of internal voids and gaps in relation to material type and cavity dimensions in ultraconservative restorations were investigated in this study. materials and methods: forty-eight round cavities of 1.3 mm mean diameter and 2.6 mm mean depth were made on buccal and lingual surfaces of recently extracted human teeth. these were fi lled and thermocycle...

Monoliths are separation media in the format that can be compared to a single large “particle” that does not contain interparticular voids. As a result, all the mobile phase must flow through the stationary phase. This convective flow greatly accelerates the rate of mass transfer. In contrast to diffusion, which is the typical driving force for mass transfer within the pores of particulate stat...

Thermoelastic modeling at nanoscale is becoming more important as devices shrink and heat sources are widely used in modern industries, such nanoelectromechanical systems. However, the conventional thermoelastic theories no longer applicable high-temperature settings. This study provides an insight into thermomechanical features of a nonlocal viscous half-space exposed to cyclic source. Using n...