Quasi-static regime

The main results of this miero-mechanical model in the quasi-static regime have been compared with experimental results obtained by placing polystyrene (PS)-polyvinyl pyridine (PVP) diblock copolymers with a short PVP block between PS and PVP homopolymers. The fracture toughness was found to increase linearly with E from that of the bare PS/PVP interface, while the slope of the line increased with the degree of polymerization of the block being pulled out. If the data for the different copolymers were plotted as AG vs. (where... 

When the film thickness is small compared to the wavelength of light, the maaoscopic electric field can be assumed to be constant across the film, and the solution can be found in the quasi-static regime [24, 25]. Formally, the quasistatic regime is reached by setting the velocity of light to be infinite (c -> oo). As a result, instead of the Maxwell equations, the electrostatic laws... 

It should be stressed that due to the limitations of the quasi-static regime, the film thickness dependence of the band positions in the IR spectra is correctly described only within the framework of the polariton theory. Therefore, Eqs. (3.21) and (3.23), which relate to pure surface modes, give an inadequate thickness dependence of the band positions in the spectra. The general dispersion relation has the following simple form for ihe vacuum-film-metal interface and /7-polarization [13] ... 

The before-mentioned homonuclear decoupHng sequences have aU been designed in the quasi-static regime, where the rf field is supposed... 

Shikhmurzaev Y. (1997) Spreading of drops on solid surfaces in a quasi-static regime. Phys Fluids 9 266—275. 

Plasmon based optical spectroscopy of metal clusters is best described by electrodynamics. To describe the behavior of the plasmon oscillation it is appropriate to apply a quasi-static regime only for a cluster of around 10-20 nm. The static regime assumes that the phase shift in the colloidal particle is small enough to be neglected reducing the cluster oscillation to a simple dipole. 

Thus, in the quasi-static approximation, the length of the unsteady-state regime in the core of the nonlinear waveguide is finite, as in the case of the stationary light beam propagation (see Fig. 10, 11). 

In view of an illustration of the viscoelastic characteristics of the developed model, simulations of uniaxial stress-strain cycles in the small strain regime have been performed for various pre-strains, as depicted in Fig. 47b. Thereby, the material parameters obtained from the adaptation in Fig. 47a (Table 4, sample type C60) have been used. The dashed lines represent the polymer contributions, which include the pre-strain dependent hydrodynamic amplification of the polymer matrix. It becomes clear that in the small and medium strain regime a pronounced filler-induced hysteresis is predicted, due to the cyclic breakdown and re-aggregation of filler clusters. It can considered to be the main mechanism of energy dissipation of filler reinforced rubbers that appears even in the quasi-static limit. In addition, stress softening is present, also at small strains. It leads to the characteristic decline of the polymer contributions with rising pre-strain (dashed lines in... 

This model is supposed to capture the two extreme limits of granular flow, which are designating the rapid shear and quasi-static flow regimes. In the rapid shear flow regime the kinetic stress component dominates, whereas in the quasi-static flow regime the friction stress component dominates [127]. 

Similar to the as-received testing regime, ultimate tensile strength, stiffness, and strain-to-feilure were determined quasi-statically in accordance with ASTM D 3039 for each class of material after saturation. A total of thirty samples were tested, ten of each material type. In addition, two samples of each material were set aside for crack density analysis using x-ray and optical microscopy techniques. 

Parris et al adopted a continuous mode of operation (Figure 193), in which quasi-static thermal and chemical regimes could be maintained. This method offers advantages over the pulsed mode in terms of control of decomposition, volatilization, and atomization of the analyte. 

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