The authors investigated the transient elongational behavior of a highly-aligned 600% volume fraction long, discontinuous fiber filled poly-ether-ketone-ketone melt with a computer-controlled extensional rheometer at 370°C. Prior experiments at controlled strain rate and stress produced E+ (t,
) and
– (t, E) similar to a shear dominated flow of a non-linear viscoelastic fluid. Stress relaxation following steady extension showed nonlinear effects in the change in stress decay rate with increasing strain rate. Continuous relaxation spectra showed a shift in the spectral peak to smaller values of with increasing strain rate. The Giesekus nonlinear constitutive relation modeled the elongation and stress relaxation with shearing rate at the fiber surface set by a strain rate magnification factor. Suitable for elongation, the model produced insufficient shift in the stress relaxation spectrum to account for the large change in stress decay rate exhibited in the experiments.English alphabet
ar
aspect ratio of the fibers or l/d
-
A0
initial uniform cross-section area of the specimen
-
d
fiber diameter
-
f
fiber volume fraction
-
H()
relaxation spectrum found by the method of Ferry and William l length of the fiber
-
L(t)
time function specimen length
-
L0
initial specimen length
-
r
radial coordinate across the shear cell
-
Ri
fiber radius and inner cell dimension
-
Ro
outer cell radius
-
t
time in s
-
tmax
duration of the extension
-
Tg
glass transition temperature of the polymer
-
v
velocity of the moving end of the test specimen
-
x
axial position where is calculated
Greek alphabet
nonlinearity parameter in the Giesekus relation
-
axial mass distribution along the specimen major axis
-
shear strain rate
-
strain tensor
-
(1)
first convected derivative of the strain tensor
-
(2)
second convected derivative of the strain tensor
-
average strain at the end of extension as determined from
-
extension strain rate
-
average extension strain rate determined from
-
–
transient strain rate under controlled stress, creep, test
-
E
elongational viscosity
-
Eapp
apparent elongational viscosity determined from
-
E+
transient elongational viscosity
-
0
zero shear rate viscosity
-
relaxation parameter
-
1
relaxation parameter in either Jeffrey's or Giesekus fluid
-
2
retardation parameter in either Jeffrey's or Giesekus fluid
-
max
relaxation value at which 99.9% of the H spectrum had occurred
-
p
relaxation value at which H reaches a maximum
-
volumetric composite density
-
E
elongational stress
-
E+
transient elongational stress
-
E–
controlled elongational stress, creep stress
-
Ey
peak elongational stress in controlled
experiment
-
shear stress at surface of the fiber in a shear cell
-
yx
simple shear component of the strain rate tensor
-
stress tensor
-
1
first convected derivative of the stress tensor 相似文献
The synthesis of thiol‐functionalized long‐chain highly branched polymers (LCHBPs) has been accomplished in combination of ring‐opening metathesis polymerization (ROMP) and thiol‐Michael addition click reaction. A monotelechelic polymer with a terminal acrylate and many pendent thiol groups is first prepared through adding an internal cis‐olefin terminating agent to the reaction mixture immediately after the completion of the living ROMP, and then utilized as an ABn‐type macromonomer in subsequent thiol‐ene reaction between acrylate and thiol, yielding LCHBPs as the reaction time prolonged. Au nanoparticles are then covalently conjugated onto the surface of thiol‐functionalized LCHBP to fabricate novel hybrid nanostructures, which is shown as one interesting application of such functionalized metathesis polymers. This facile approach can be extended toward the fabrication of novel nanomaterials with sophisticated structures and tunable multifunctionalities.
Abstract New experimental data are presented which indicate the change of defect centers concentration in GaAs at macroscopic (up to millimeters) distances from the implanted regions edge. These data were obtained by locally exited cathodoluminescence, by observation of photoconductivity detected locally by contactless MW technique, by conductivity, DLTS and Raman spectroscopy measurement. Interpretation of the mechanism of long range effect is presented. 相似文献
In the optical model (OM) approach for fusion, absorption of flux occuring beyond the barrier position is presented in detail
at low energies. It has been shown that the OM transmission can be well approximated as a sum of the WKB transmission and
a long range absorption (LRA) contribution. Owing to absence of LRA, the fusion predictions of coupled channel codes based
on transmission approach like the CCFUS code, do not agree with the predictions of complete coupled reaction channel (CRC)
calculations based on OM approach using the code FRESCO. The CCFUS code with a modified transmission which includes LRA contribution
is shown to be consistent with the CRC results using FRESCO. The static deformation of the colliding nuclei strongly influences
the fusion imaginary potential and therefore the deep sub-barrier fusion cross sections. 相似文献
Under the assumption of weak shear current with varying vorticity in water and weak air pressure the Zakharov theory is extended
to include the effects of vorticity and air pressure on the modulation of water waves. This new equation is used to examine
the influence of current and wind on the Benjamin-Feir sideband instability and long-time evolution of wavetrain. As strength
of the current increases the bandwidth is found broadened, and the maximum growth rate of sidebands decreased. Periodic solution
of sidebands in the presence of current is indicated, which means that shear current does not affect the downshift of wave
spectrum peak. Energy input by imposing the air pressure leads to the enhancement of the lower sideband, which is in agreement
with the finding of Hara and Mei (1991).
The project supported by the National Natural Science Foundation of China 相似文献
On using the spatial dispersion theory, we have developed a rigorous model for analyzing excess conduction loss in normal
metals. We have used the model to account excess conduction loss and dissect the discrepancies between excess conduction loss
measurements and classical theoretical predictions in normal metals for sub-millimeter wavelengths. Our analysis shows that
the conductivity is not only frequency but also wave vector dependent. We demonstrate good quantitative agreement with the
published experimental data for the room temperature excess conduction loss of normal metals for sub-millimeter wavelengths. 相似文献