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EuroWire – July 2008

61

technical article

This means the stress in the primary coating

at room temperature is a hydrostatic tensile

stress. It increases as temperature decreases

further until reaching the primary coating T

g

(typically ~-20ºC), when the primary coating

also turns into the glassy state. The calculated

tensile stress in the primary coating is ~0.8

MPa at room temperature as shown in

Figure 2

. Due to the visco-elastic property of

the secondary coating, the actual stress level

should be lower than the calculated stress

and decrease with time as the secondary

coating undergoes stress relaxation at sub-T

g

temperatures.

[5]

While the risk of coating cavitation by

thermal stress is low for typical dual-coated

fibres, precautions must be taken to evaluate

certain types of coating systems discussed

below. The new developmental trend

for primary coatings is to further reduce

their modulus and T

g

to provide improved

micro-bending buffering protection over

a wide temperature range. In this type of

coating system, the tensile stress keeps

building up as temperature begins to drop,

yet the primary coating remains in its rubbery

state. As shown in

Figure 3

, the calculated

tensile stress increases linearly with tem-

perature decrease. The stress relaxation of

the secondary coating is also much slower at

low temperatures. In addition to the risk of

high thermal stress, a lower modulus primary

coating may also be more prone to cavitation,

due to its lower crosslink density.

It is therefore very important that primary

coatings with low modulus and low T

g

be

carefully designed to have high cavitation

strength through optimum structure of the

crosslinking network.

In-depth knowledge of the cavitation

resistance of UV curable coating materials at

the molecular level allows the development

of coating systems having improved micro-

bending performance combined with high

cavitation strength, to assure robust fibre

performance over a wide temperature range.

Another example of a high-risk situation with

regard to cavity formation is fibre with thicker

than standard coating layers.

The tensile stress in the primary layer of a

fibre with the glass/coating OD structure

of 125/350/500 μm is calculated and also

plotted in

Figure 3

. The tensile stress in the

primary coating of this fibre is 2.8 times the

stress level of that in the primary coating of a

standard 245 μm OD coated fibre. Therefore,

fibres having thicker coating layers should

be composed of a primary coating having

high cavitation strength in combination

with a secondary coating having faster stress

relaxation.

2.1.2 Cavity formation in the primary coating.

Figure 4

shows microscope images of some

cavities formed in a 500 μm OD coated

fibre, after temperature cycling between

85ºC and -60ºC. Irregularly shaped coating

ruptures of different sizes can be observed

in the primary coating layer. The fact that

the coating ruptures are wide open, shown

as voids, indicates the presence of a tri-axial

tensile stress in the primary layer at room

temperature.

From fracture mechanics theory, the

parameter representing the cavitation

resistance of a material is called cavitation

strength. When the tri-axial stress reaches

this critical point, the material starts to

rupture and form internal cavities. It has

been calculated and proved experimentally

that for an ideal rubber, the tri-axial stress

for a very small spherical hole to be inflated

unboundedly is (5/6)E, where E represents

the Young’s modulus.

[6]

Any microscopic

network defect in the material may serve as

the initial rupture site.

This means for a 1 MPa primary coating,

a tri-axial tensile stress of 0.83 MPa can

already cause cavity formation according to

the un-bounded growth mechanism, if the

coating material behaves like an ideal rubber.

By proper molecular design of the coating’s

cross-linked network structure, the desired

high cavitation resistance can be achieved,

with the cavitation strength significantly

exceeding the coating modulus.

In this type of high cavitation strength

primary coatings, small cavities will not grow

un-boundedly and the material will not

rupture even under a relatively high tensile

stress level that could be present in the

primary coating.

2.2 Cavities induced by the mechanical

stress

In addition to the hydrostatic thermal tensile

stress, cavity formation in primary coatings

can also be driven by anisotropic tri-axial

stress resulting from a mechanical impact

on the coated fibre. It has been previously

reported that coating tears were observed

under high tension, when pulling fibre

through a re-winder assembly to test the

coating’s resistance to de-lamination.

[4]

When an external mechanical force is exerted

on a coated fibre, the coating layers will

de-form and result in a non-uniform stress

field in the coating material.

Figure 5

schematically illustrates the defor-

mation of the coating layers under a lateral

force F. Since the secondary coating is a

much harder material than the primary

coating, the secondary layer behaves like a

hollow tube being pressed under the lateral

pressure with the shape of the tube changing

to oval, but with no deformation on coating

thickness. The primary coating is bonded

on both sides with glass and secondary and

is forced to deform internally. The areas of

primary coating along the force direction

are compressed and the areas perpendicular

Figure 3

:

Calculated thermal stress vs temperature for a regular 250µm fibre (assuming the stress starts to develop

below secondary Tg ~50°C)

Figure 4

:

Cavities in the primary coating layer

induced by temperature cycling in a 500µm fibre

(left) 40x (right) 200x

Figure 5

:

A schematic diagram of the localised

tensile stresses in the primary coating by a

mechanical lateral force

Figure 6

:

Mean normal stress in the primary

coating layer induced by a mechanical lateral force

calculated by Finite Element Analysis