Effect of coupling

Uncoupled solutions for current and electric field give simple and explicit descriptions of the response of piezoelectric solids to shock compression, but the neglect of the influence of the electric field on mechanical behavior (i.e., the electromechanical coupling effects) is a troublesome inconsistency. A first step toward an improved solution is a weak-coupling approximation in which it is recognized that the effects of coupling may be relatively small in certain materials and it is assumed that electromechanical effects can be treated as a perturbation on the uncoupled solution. 

James Martin Whitney, A Study of the Effects of Coupling Between Bending and Stretching on the Mechanical Behavior of Layered Anisotropic Composite Materials, Ph.D thesis. Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio, 1968. (Available from University Microfilms, Inc., Ann Arbor, Michigan, as no. 69-5000.)... 

Classical solutions to laminated shell buckling and vibration problems in the manner of Chapter 5 were obtained by Jones and Morgan [6-47]. Their results are presented as normalized buckling loads or fundamental natural frequency versus the Batdorf shell curvature parameter. They showed that, for antisymmetrically laminated cross-ply shells as for plates, the effect of coupling between bending and extension on buckling loads and vibration frequencies dies out rapidly as the number of layers... 

We expect more insight from simulations in the future, particularly in situations where these multicomponent systems show effects of coupling between the different degrees of freedom, surface tensions depending on temperature and concentration, hydrodynamic flow induced by concentration gradients in addition to thermal buoyancy. 

In spite of the general insensitivity of the intraligand, vibrational modes to cluster size, there are a few specifics worth mentioning, particularly with respect to vc=c (ignoring effects of coupling with 6chj... 

When the length scale approaches molecular dimensions, the inner spinning" of molecules will contribute to the lubrication performance. It should be borne in mind that it is not considered in the conventional theory of lubrication. The continuum fluid theories with microstructure were studied in the early 1960s by Stokes [22]. Two concepts were introduced couple stress and microstructure. The notion of couple stress stems from the assumption that the mechanical interaction between two parts of one body is composed of a force distribution and a moment distribution. And the microstructure is a kinematic one. The velocity field is no longer sufficient to determine the kinematic parameters the spin tensor and vorticity will appear. One simplified model of polar fluids is the micropolar theory, which assumes that the fluid particles are rigid and randomly ordered in viscous media. Thus, the viscous action, the effect of couple stress, and... 

Size-dependent effects will be seen in fluids with micro-structure, and the thinner the gap is, the greater the effect will be. During lubrication when the him approaches molecular dimensions, the microstructure will play a dominant role. In the present paper, micropolar theory is incorporated into the theory accounting for very thin him EHL. The effects of coupling number and characteristic length are analyzed for specihc conditions. 

The effect of coupling agents on the physical properties of the compound is to lower compression set,... 

Dynamic interaction effects are commonly neglected. Under certain circumstances, unconscrvalivc answers could result from neglecting the effects of coupling. Though some simple parametric studies can be made to evaluate these effects, coupling is normally expected to be negligible if the natural frequencies of... 

Table 8.14 Effect of Coupling Agents on Tensile Bond Strength of an Acrylic Resin on Teeth...

The effects of coupling of the DTO and RB units in not only one- but also three-dimensional arrays are discussed below and molecular weight trends illustrated. A fundamental connection between relaxation times and normal mode frequencies, shown to hold in all dimensions, allows the rapid derivation of the common viscoelastic and dielectric response functions from a knowledge of the appropriate lattice vibration spectra. It is found that the time and frequency dispersion behavior is much sharper when the oscillator elements are established in three-dimensional quasi-lattices as in the case of organic glasses. 

J. Wu, P. B. Bondo, T. Vuorinen, and A. S. Serianni, 13C-13C spin coupling constants in aldoses enriched with 13C at the terminal hydroxymethyl carbon Effect of coupling pathway structure on Jcc in carbohydrates, J. Am. Chem. Soc. 174 3499 (1992) A. S. Serianni, H. A. Nunex, and R. Barker, Cyanohydrin synthesis Studies with [13C]cyanide, J. Org. Chem. 45 3329 (1980) A. S. Serianni and R. Barker, Isotopically-enriched carbohydrates The preparation of Hi-enriched aldoses by catalytic hydrogenolysis of cyanohydrins with 2H2, Can. J. Chem. 57 3160 (1979). 

Figure 9. Effect of coupling agents on flexural strengths of glass cloth-reinforced Ihermoseiting resins, dry and wet after 24 h boil.

Effect of coupling agents on the flexural strength of a structural epoxy-fiberglass laminate... 

RESULTS AND DISCUSSION 3.1. Effect of coupling agent thickness... 

Analysis of variance (ANOVA) was used to determine the effects of coupling agent, concentration, and line speed on adhesion. Significant differences among means were determined by Duncan s multiple range test, using a 95% confidence level. 

A more general picture of the effects of coupling of two coordinates on the electronic emission spectrum is obtained when the initial wavepacket is displaced along both of the coupled modes. This situation is required to interpret... 

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