In particular, we investigate two typical variations in the modulus, described by a power function and an exponential function, respectively.
Figure 2a and b shows the storage modulus and tanδ vs. temperature, where the storage modulus describes the elastic response of the material and the peak of tanδ indicates the glass transition temperature (Tg).
Whereas the strain-hardening modulus described by a simple neo-Hookean relation increases with LLPS time and reaches a plateau after 6 h, which can be accounted for by the cooperation effect between amorphous entanglement density, insensitive to LLPS time, and crystallinity redistribution.
Besides, end-use properties, such as the melting-flow index, the impact strength and the flexural modulus, are described through empirical models that depend on the molecular and morphological properties of the polymer resins, as described by Latado et al. (Polymer Testing 20(4) (2001) 419 439).
The storage modulus is described by a line of the form E' = Alog e (f) + B, where f represents frequency.
Several two-phase composite models are investigated to describe the modulus vs. crystallinity data above Tg; the Davies model provides a good quantitative description for the copolymers examined.
In this paper, we describe the modulus semigroup of the C0-semigroup associated with the linear differential equation with delay u′(t)="Au(t)+Lut(t⩾0),u(0)="x∈X,u0= f∈Lp -h,0 X),u0= f∈Lp -h,0 Xattice X×Lp(−h,inX), where X is a Banach lathece with order continuous norm.
Clearly, the modulus is meaningful to describe the approximation degree and the smoothness of, which has been widely used in the study of approximation on sphere.
where n is the harmonic number, Y is the Young's modulus (as described above in Plane waves: The speed of sound: In solids), and ρ is the density of the material.
This temperature invariance reflects the characterization of microcrack size distribution in the material described by the modulus.
Tavakoli and Soroushian (1996) described that the modulus of rupture tests of RCA concrete gave more varied results.
