Weighted-average deformation

VDT visual display tube WADC weighted-average deformation charac-... 

Bulk properties connected with large deformations, such as melt and solution viscosity, are largely determined by the weight-average molar mass, i.e. by the mass to be transferred. Branching and cross linking have a very pronounced effect in this case. 

There are ns simplices (p,q,r,s) and there are ns such transformations. A set of ns v-dependent weight functions w(P.q.r,s)(v), one weight function associated with each simplex (p,q,r,s), is chosen so that the weighted average of the ns transformations exactly assigns the set (v( ) of nuclear positions to the set t< ) of nuclear positions and continuously deforms the electronic density ... 

The structural analysis of the blends and the deformation layer was performed with scanning electron microscopy (SEM) on cryomicrotomed samples. The weighted average particle size (dw = Xn f/Sn,, where n is the number of particles and d is diameter) was determined from the micrographs with a particle-size analyzer (Zeiss TGZ 3). Transmission electron microscopy (TEM) was performed on microtomed samples that were stained with Os04 for 24 h at room temperature before being cut. The thin slices were then stained again for 48 h at room temperature and studied with a JEOL 200 CX instrument. 

Damping ratio, 332, 334 DD-MAS, 283, 285, 287, 288, 290 Debye-Buiche equation, 195-6 Debye-Waller factor, 214, 217 Deformation entropy of networks, 70 Degree of polymerization, 99,125, 128, 130, 133 distribution, 37-41 number average, 31-5 total probability, 32 weight average, 31-5, 36 Deoxyribonucleic acid (DNA), 356 Dielectric constant, 363-4, 390 Dielectric properties, 363-79... 

The modulus of the polymer is an average of the stiffnesses of its bonds. But it obviously is not an arithmetic mean even if the stiff bonds were completely rigid, the polymer would deform because the weak bonds would stretch. Instead, we calculate the modulus by summing the deformation in each type of bond using the methods of composite theory (Chapter 25). A stress d produces a strain which is the weighted sum of the strains in each sort of bond... 

Under all ordinary circumstances the average lengths of terminal chains and of internal chains will be the same, or nearly so hence represents the weight fraction of the structure which is active in deformation. For certain applications, as for example to crystallization induced by stretching, 8a is an appropriate measure of the effective portion of the... 

The ability of a hammer to deform metal depends on the energy it is able to deliver on impact. Consider a steam hammer (see Fignre 7.9) that has a falling weight of 200 lb and a steam bore, d, equal to 12 in. Assume that the mean effective steam pressure, P, is 80 psi and that the stroke is 30 in. If the hammer travels 1/8 in. into the metal after striking it, determine the average force exerted on the workpiece. You should be able to do this without an equation, through the application of some dimensional analysis. 

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