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- The Monte
Carlo dynamics
of polymer
chains in
sandwich
brushes: Rheologica
Acta, Vol. 47,
No. 5. (3 July
2008), pp.
565-569.Abstra
ct We
designed and
developed a
simple model
of polymer
chains. The
chains consist
of identical
united atoms
(segments) and
were
restricted to
a simple cubic
lattice with
the excluded
volume
interactions
only (an
athermal
system).The
polymers were
confined
between two
parallel
impenetrable
walls with one
end of each
chain was
grafted to the
wall. A motion
of a probe
single linear
chain in such
environment
was studied.
The properties
of the model
studied were
determined
from the Monte
Carlo
simulations
employing a
Metropolis-lik
e sampling
algorithm with
local changes
of chains?
conformation.
The influence
of the system
density and
the length of
chains on the
polymer
mobility was
studied and
discussed. We
found that the
number of
chains forming
the brush was
the major
quantity which
governed the
dynamics of a
probe chain,
while the
length of the
chains in the
brush also
influenced the
diffusivity of
the probe
chain. The
diffusion
coefficients
scaled with
the length of
a probe chain
is stronger
than in the
Rouse model
with the
exponent
??=??1.3.
Source: Rheologica Acta, Vol. 47, No. 5. (3 July 2008), pp. 565-569. - Polymer brush
under strong
shear: Physical
Review E, Vol.
54, No. 6. (1
December
1996), 6958.
Source: Physical Review E, Vol. 54, No. 6. (1 December 1996), 6958. - Conformation
of Polymer
Brushes under
Shear: Chain
Tilting and
Stretching: Macromolecules
, Vol. 29, No.
6. (11 March
1996), pp.
2289-2297.Abst
ract: We have
studied the
conformation
of a polymer
brush in
equilibrium
with a solvent
that is
subject to a
shear flow.
The interplay
between the
polymer brush
and the
hydrodynamic
flow of the
solvent has
been modeled,
with simple
but largely
justifiable
approximations
. The main
technique used
in our study
is a
Monte-Carlo
simulation
algorithm that
is distinct
from many
standard
numerical
methods used
in studies of
polymer
brushes in
that it
combines an
off-lattice
description of
polymer
brushes-the
Edwards
Hamiltonian-wi
th a
modification
of the
standard
Metropolis
Monte-Carlo
transition
probability to
take into
account the
effective
force acting
upon the
polymer
molecules by
the moving
solvent. The
conformation
of the polymer
brush, the
configurations
of each
individual
chain in
particular, is
investigated
in detail. It
is found that
the
significant
response of
the brush to
the solvent
shear flow
manifests
principally in
the form of
the chain
tilting toward
and stretching
along the
direction of
the flow,
whereas the
overall
conformational
properties,
such as the
averaged local
monomer
density, and
the linear
span of the
brush in the
direction
normal to that
of the flow
remain
essentially
unaffected by
the flow. Such
response can
be understood
both
qualitatively
and
semiquantitati
vely in terms
of a notion of
the mechanical
balance of the
different
physical
forces
involved,
which was used
in the theory
of Rabin and
Alexander
(Rabin, Y.;
Alexander, S.
Europhys.
Lett. 1990,
13, 49). The
relevance of
our study to
some recent
experiments is
briefly
discussed.
Source: Macromolecules, Vol. 29, No. 6. (11 March 1996), pp. 2289-2297. - An analytical
model of
pneumatic
tyres for
vehicle
dynamic
simulations.
Part 3:
Validation
against
experimental
data.: International
Journal of
Vehicle
Design, Vol.
12, No. 2,
1991, p.
217-228 (1991)
Source: International Journal of Vehicle Design, Vol. 12, No. 2, 1991, p. 217-228 (1991) - Discrete Brush
Tire Model for
Calculating
Tire Forces
with Large
Camber Angle: Vehicle System
Dynamics, Vol.
25, No. 1 supp
1. (1996), pp.
200-216.In
this paper
one-dimensiona
l discrete
brush model is
described. A
new model
contains
twisting
concept along
a trajectory
of tread base
and explains
the mechanism
of moment
around the
vertical axis
at large
camber angles.
Calculations
are focused on
tires for
motor-cycles,
since
motor-cycles
often use
tires under
the condition
of large
camber angles.
The calculated
results are
compared with
the
experimental
results and it
is shown that
the proposed
model can be
applied to the
calculation of
the moment
around the
vertical axis
at large
camber angles.
Source: Vehicle System Dynamics, Vol. 25, No. 1 supp 1. (1996), pp. 200-216. - An analytical
model of
pneumatic
tyres for
vehicle
dynamic
simulations.
Part 1: pure
slips.: International
Journal of
Vehicle
Design, Vol.
11, No. 6,
1990, p.
589-618 (1990)
Source: International Journal of Vehicle Design, Vol. 11, No. 6, 1990, p. 589-618 (1990) - A 3D
Brush-type
Dynamic Tire
Friction Model: Vehicle System
Dynamics, Vol.
42, No. 3.
(2004), pp.
133-173.The
use of
advanced
dynamic
friction
models can
improve the
brush-type
tire friction
models. This
paper presents
a 3D dynamic
brush model
based on the
LuGre friction
model. The
model
describes the
dynamics of
longitudinal
and lateral
tire friction
forces, as
well as the
self aligning
torque
dynamics. It
has been
originally
derived in a
distributed-pa
rameter form,
and then
transformed to
a simpler
lumped-paramet
er form with
only three
internal
states. Both
uniform and
non-uniform
normal
pressure
distributions
are
considered.
The model has
analytical
solution for
steady-state
conditions.
The
steady-state
behavior is
validated with
respect to
magic formula
static model,
which served
as an ideal
benchmark. The
lumped model
dynamic
behavior is
validated by
comparing its
time-responses
with original
distributed
model
responses. The
model
parameterizati
on with
respect to
normal force
and other
tire/road
parameters is
considered as
well.
Source: Vehicle System Dynamics, Vol. 42, No. 3. (2004), pp. 133-173. - Pragmatic Tyre
Model for
Short
Wavelength
Side Slip
Variations: Vehicle System
Dynamics, Vol.
31, No. 2.
(1999), pp.
65-94.The
first-order
relaxation
length concept
is often used
to model
transient tyre
behaviour. It
gives a rather
good
representation
of the lateral
force
response, also
at shorter
wavelengths.
The self
aligning
moment appears
to behave
rather
differently
and its
responses
cannot be
represented by
a relaxation
length system
only. Based on
the analytical
frequency
response
functions of
the pneumatic
trail of the
brush type
tyre model, a
new pragmatic
approach is
developed. The
model consists
of a phase
leading system
in series with
the
first-order
model for the
lateral force.
The results
are compared
to the
responses of a
discrete brush
type
simulation
model. It
appears that
the aligning
moment can be
represented by
this new
pragmatic
model very
well.
Source: Vehicle System Dynamics, Vol. 31, No. 2. (1999), pp. 65-94. - A
two-dimensiona
l tire model
on uneven
roads for
vehicle
dynamic
simulation: Vehicle System
Dynamics, Vol.
46, No. 10.
(October
2008), pp.
913-930.
Source: Vehicle System Dynamics, Vol. 46, No. 10. (October 2008), pp. 913-930. - An analytical
model of
pneumatic
tyres for
vehicle
dynamic
simulations.
Part 2:
comprehensive
slips.: International
Journal of
Vehicle
Design, Vol.
12, No. 1,
1991, p. 19-39
(1991)
Source: International Journal of Vehicle Design, Vol. 12, No. 1, 1991, p. 19-39 (1991)
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