Deformation kinetics

Krausz AR, Eyring H (1975) Deformation Kinetics, John Wiley New York, p 338... 

CHOW Deformation Kinetics of Cross-Linked Polymers... 

Krausz, A. S., Eyring, H. Deformation kinetics. New York Wiley-Intersdence 1975... 

In order to reveal the subtle changes in the energy distributions caused by the crystal/molecule formation, we have calculated the deformation kinetic and potential energy densities [34,40] ... 

We have reviewed the recent development of a nonequilibrium statistical mechanical theory of polymeric glasses, and have provided a unified account of the structural relaxation, physical aging, and deformation kinetics of glassy polymers, compatible blends, and particulate composites. The specific conclusions are as follows ... 

A. S. Krayss and H. Eyring (1975). Deformation Kinetics. Wiley-Interscience, New York. 

Two-dimensional cell modeled as a liquid and a compound drop [N Dri etal, 2003] Cell deforms with nucleus inside Bonds are elastic springs Macro/micro model for cell deformation Kinetics model based on Dembo [ 1988]. Nano scale model for hgand-receptor Uniform flow at the inlet as in parallel-flow chamber assay Results compare well with numerical and experimental results found in the literature for simple liquid drop Cell viscosity and surface tension affect Leukocyte rolling velocity Nucleus increases the bond hfetime and decreases leukocyte rolling velocity Cell with larger diameter rolls faster Uniform flow at the inlet as in parallel flow chamber assay... 

Krausz AS, Eynng H (1975) Deformation kinetics Wiley, New York... 

Further, the number of double defects is listed in Fig. 2.15. Such double defects lead in Sect. 5.3 to an understanding of defect crystals and their deformation kinetics. The number of defects refers to the whole crystal. Assuming that the increase in heat capacity from 3 to 4.5 R in Fig. 2.14 is due to defect formation, it is possible to calculate the energy of defect formation as 44 kl mol... 

Keywords Complex polymer systems Deformation kinetics geneity Glass transition anomalies Laser interferometry morphology Polymer creep Relaxation dynamics... 

New possibilities for a comprehensive, precise analysis of the kinetics of polymer deformation under different experimental conditions, taking into account the changeability of kinetics under different temperature/deformation conditions. The LICRM setup made it possible not only to increase sharply the accuracy of the measurements, but also to study the deformation kinetics under formerly inaccessible conditions, namely (a) to obtain the complete kinetic information on polymer deformation in any temperature point and at any stage of the deformation process and (b) to determine activation parameters under conditions of practically unchangeable polymer structure and mobility. 

The non-constancy of deformation kinetic parameters is expected, a priori, for polymers over the wide ranges of temperatures and stresses (or strains). It has been shown that the diversity of molecular motions inherent to polymers results in a peculiar behavior of their mechanical properties with respect to their relaxation transitions, in particular in non-monotonic temperature dependencies observed for their fracture deformation or stress [276-278]. As an example, Fig. 65 illustrates the typical correlation between change in fracture deformation and step-like unfreezing of mobility with temperature, as estimated by the NMR line width, for poly(vinyl formal). 

Another difficulty in the correct estimation of the kinetic parameters of deformation is the need to maintain the invariable structure of polymers during measurement, whereas structural changes are inevitable in the process of considerable changes in deformation values for polymers. Therefore, it is impossible to learn deformation kinetics as a function of the magnitude of deformation using the generally accepted techniques for such experiments. 

We succeeded in overcoming the above problems by the elaboration of a highly sensitive method for studying deformation kinetics, based on high-precise recording the creep rates by the LICRM setup combined with the Sherby-Dorn method [279] of stress or temperature jumps for studying deformation kinetics of solids. The latter method (before using the laser interferometry) showed that the kinetic... 

Below we consider the results of our systematic research of deformation kinetics for glassy polymers over the wide ranges of temperatures and deformations, using the laser-interferometric technique under consideration [11,278,280-287], This research allowed us (1) to study the dependencies of kinetic parameters of creep on these factors, (2) to reveal the regular relations between the activation parameters of polymer creep, (3) to demonstrate their intimate connection with the parameters of relaxation transitions, and (4) to confirm directly the intermolecular physical nature of potential barriers of polymer plasticity. ... 

It has been assumed that the barrier Go includes a number of elementary energy barriers q, overcome by a deformation kinetic unit equal to or at least commensurable with a in its volume. Without considering specific deformation models, we considered a unit event of a creep process as a displacement (transfer)... 

The LICRM setups have also been used for studying deformation kinetics of polymers over a wide temperature range [278,280-287]. Large variability in the kinetic parameters with temperature was observed, although the potential barriers of IMI in every glassy polymer may vary only slightly within the glassy state. Analysis of... 

Let us stress once more that, irrespective of the specific solid-state deformation model used [271-275,292], the values of creep activation parameters in polymers are interconnected and depend on the degree of deformation and temperature. Their changes are related in a regular manner to structural alterations in polymers and to their spectra of molecular motions. Due to the changeability of deformation kinetic... 

The kinetic data presented above, especially the interrelationship between the deformation kinetic parameters and the approximate equaUty qi = coh/3, testify in favor of the decisive contribution of IMI to the potential barriers of polymer deformation. Nevertheless, the additional, direct experimental information regarding the connection between IMI behavior and deformation kinetics was needed to come to the final conclusions on the physical nature of go-... 

Thus, all experimental data and relationships, obtained by the laser-interferometric technique combined with DSC and IRS, confirmed the complicated behavior of deformation kinetics in polymers as well as its direct connection with the spectra of molecular motions and the intermolecular potential barriers. 

AS Krausz, H Eyring. Deformation Kinetics. New York Wiley Interscience, 1975, pp 36 5. 

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