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Mechanical properties of textiles
Physical testing of textiles, B.P.
Saville, Woodhead Publishing, 1999
08/10/2012 1
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Linear density
• Mass per unit length. It is the quotient
obtained by dividing the mass of a fiber or
yarn by its length.
• 1 tex= 1 gram/1000 meter
• 1 decitex= 1 gram/10.000 meter
• 1 tex=10 decitex
• 1 denier= 1 gram/9000 meter
08/10/2012 2
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Breaking strength; tensile strength
• This is the maximum tensile force recorded in
extending a test piece to breaking point.
• The tensile force recorded at the moment of
rupture is sometimes referred to as the tensile
strength at break. This figure may be different
from the tensile strength defined above as the
elongation of the specimen may continue after
the maximum tensile force has been developed
as shown in Figure so that the tensile strength at
break is lower than the tensile strength.
08/10/2012 3
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 4
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Stress
• The force at which a specimen breaks is
directly proportional to its cross sectional
area, therefore when comparing the strengths
of different fibres, yarns and fabrics
allowances have to be made for this.
• Stress is a way of expressing the force on a
material in a way that allows for the effect of
the cross-sectional area of the specimen on
the force needed to break it:
Back to Modulus
08/10/2012 5
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• In the case of textile materials the cross-
sectional area can only be easily measured in
the case of fibres with circular cross-sections.
The cross sections of yarns and fabrics contain
an unknown amount of space as well as fibres
so that in these cases the cross-sectional area
is not clearly defined.
• Therefore stress is only used in a limited
number of applications involving fibres.
08/10/2012 6
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Specific (mass) stress
• Specific stress is a more useful measurement
of stress in the case of yarns as their cross-
sectional area is not known. The linear density
of the yarn is used instead of the cross-
sectional area as a measure of yarn thickness.
This allows the strengths of yarns of different
linear densities to be compared.
08/10/2012 7
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Tenacity
• Tenacity is defined as the specific stress
corresponding with the maximum force on a
force/extension curve. The nominal denier or
tex of the yarn or fibre is the figure used in the
calculation; no allowance is made for any
thinning of the specimen as it elongates.
08/10/2012 8
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Elongation
• Elongation is the increase in length of the
specimen from its starting length expressed in
units of length. The distance that a material
will extend under a given force is proportional
to its original length, therefore elongation is
usually quoted as strain or percentage
extension.
08/10/2012 9
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Strain
• The elongation that a specimen undergoes is
proportional to its initial length. Strain
expresses the elongation as a fraction of the
original length:
Back to Modulus
08/10/2012 10
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Extension percentage
• This measure is the strain expressed as a
percentage rather than a fraction:
08/10/2012 11
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Force elongation curve
• When an increasing force is gradually applied
to a textile material so that it extends and
eventually breaks, the plot of the applied
force against the amount that the specimen
extends is known as a force-elongation or
stress-strain curve. The curve contains far
more information than just the tensile
strength of the material. The principal features
of a force elongation curve, in this case of a
wool fibre, are shown in figure.
08/10/2012 12
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 13
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Yield point
• Depending on the material being tested, the
curve often contains a point where a marked
decrease in slope occurs. This point is known as
the yield point. At this point important changes in
the force elongation relationship occur. Before
the yield point the extension of the material is
considered to be elastic, that is the sample will
revert to its original length when the force is
removed. Above the yield point in most fibres,
some of the extension is non-recoverable, that is
the sample retains some of its extension when
the force is removed.
08/10/2012 14
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• The change in properties is seen at its most
marked in undrawn or partially oriented material
because at this point the orientation of the
polymer molecules is improved and the material
is said to 'draw'. The material continues to extend
without an increase in the applied force until it
reaches a limit. When the material has finished
drawing, the rest of the force extension curve
represents the properties of the drawn material
which has a higher tenacity owing to the
improved orientation.
08/10/2012 15
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 16
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• The yield point is not a definite point on the
curve; more often there is a region of
continuous change in the curvature between
the two different parts of the curve. Therefore
in order to measure the force or extension at
which it occurs it is necessary to define it.
There are four possible methods of defining
the yield point.
08/10/2012 17
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Slope threshold
• In this method the slope of the initial linear
region is determined, shown as A in the figure
and the point where the slope of the curve
decreases to a specified fraction of the initial
slope shown at B is taken as the yield point.
08/10/2012 18
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 19
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Offset yield
• In this method the slope of the initial linear
region is determined as before. The offset
yield point is then defined as the point on the
curve where a line parallel to the initial linear
modulus region of the curve, but offset from it
by a definite value of extension, intersects the
test curve. This is shown in Figure.
08/10/2012 20
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 21
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Zero slope method
• In this method the point at which the slope of
the test curve falls to zero is found. This
method is only applicable to certain
specimens such as that shown in Figure where
the slope actually falls to zero.
08/10/2012 22
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 23
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Meredith's construction
• In this method suggested by Meredith the line
joining the origin with the breaking point is
first constructed. The yield point is then
defined as the point on the curve at which the
tangent is parallel to this line as shown in
Figure.
08/10/2012 24
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 25
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Modulus
• The slope of the first linear part of the curve up to the yield
point is known as the initial modulus (Young's modulus) and
it is the value generally referred to when speaking of
modulus without qualification. Modulus as a general term
means the slope of the force-elongation curve and it is a
measure of the stiffness of the material, that is its
resistance to extension. The higher the modulus of a
material, the less it extends for a given force. If the curve is
plotted in terms of stress against strain the units of
modulus are the same as those of stress, that is force per
unit area such as pascals.
• There are a number of possible moduli that may be
measured.
08/10/2012 26MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
Young's modulus
• This value is obtained from the slope of the
least squares fit straight line made through
the steepest linear region of the curve as
shown in Figure.
08/10/2012 27
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 28
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Chord modulus
• This value is the slope of the straight line
drawn between two specified points on the
curve as shown in Figure. It is not necessary to
know the details of the curve between the
two points as the value can be derived from
measurements of the difference in force
between two given values of extension or the
difference in extension between two given
values of force.
08/10/2012 29
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 30
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Tangent modulus
• This value is the slope of the straight line
drawn at a tangent to the curve at a specified
point as shown in Figure.
08/10/2012 31
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 32
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Time dependence
• Even in the initial straight line region of the
force extension curve textile materials do not
behave as strictly elastic materials. Their
behaviour is fitted better by a viscoelastic
model as the relationship between applied
stress and resultant strain contains a time-
dependent element.
08/10/2012 33
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• This time dependence is seen when a yarn or
fabric is extended by a given amount and then
held at that extended length. If the force
required to do this is monitored, it is found to
rise immediately to a maximum value and
then slowly decrease with the passage of
time.
• This phenomenon is known as stress
relaxation.
08/10/2012 34
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 35
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• If instead of a fixed extension, a fixed force is applied to the
material, there is found to be an initial extension of a
magnitude that is expected from the force-extension curve
followed by a further slow extension with time.
• This behaviour is known as creep and its magnitude is an
important property to consider when assessing materials that
have to be kept under load for a long period of time, such as
geotextiles.
• As the level of force, usually expressed as a percentage of the
tensile strength, increases, the rate of creep increases.
• The rate of creep also increases with increasing temperature.
08/10/2012 36
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• Depending on the level of force and the type
of fibre, creep can continue indefinitely until
the material fails. The level of force should be
set so that the time to failure is longer than
the expected life of the product.
08/10/2012 37
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• After a textile material has been subject to a force even for a
short period of time the complete removal of the force allows
the specimen to recover its original dimensions, rapidly at first
and then more slowly with perhaps a small amount of
residual extension remaining. This remaining extension is
known as permanent set.
• As a simplified explanation the instantaneous extension can
be considered to be composed of two quantities, the elastic
extension, which is completely recoverable, and the plastic or
permanent extension, which is not recoverable.
• According to this simplified theory when a material is subject
to forces below its yield point then most of the extension is
recoverable, whereas if the force is sufficient to take the
material beyond its yield point a fraction of the extension will
be permanent.
08/10/2012 38
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
Elastic recovery
• When textile materials are stretched by forces
that are below the level of their breaking
strength and are then allowed to recover, they
do not immediately return to their original
length. How much of the original length they
recover depends on the force used, the length
of time the force is applied for and the length
of time allowed for the recovery.
08/10/2012 39
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• Perfectly elastic materials will have a value of
100%. It was found experimentally that the
percentage recovery decreased steadily with
increasing extension of the material up to the
yield point where the recovery decreased
sharply.
08/10/2012 40
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 41
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
• The elastic recovery is also a time-dependent
phenomenon, the recovery depending, among
other factors, on the time the material is held
at a given extension. The longer it is held at a
given extension, the lower is the level of
recovery.
08/10/2012 42
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri
08/10/2012 43
MSc Textile Engineering – A.Y. 2012-2013
Ada Ferri

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Mechanical Properties of Textiles

  • 1. Mechanical properties of textiles Physical testing of textiles, B.P. Saville, Woodhead Publishing, 1999 08/10/2012 1 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 2. Linear density • Mass per unit length. It is the quotient obtained by dividing the mass of a fiber or yarn by its length. • 1 tex= 1 gram/1000 meter • 1 decitex= 1 gram/10.000 meter • 1 tex=10 decitex • 1 denier= 1 gram/9000 meter 08/10/2012 2 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 3. Breaking strength; tensile strength • This is the maximum tensile force recorded in extending a test piece to breaking point. • The tensile force recorded at the moment of rupture is sometimes referred to as the tensile strength at break. This figure may be different from the tensile strength defined above as the elongation of the specimen may continue after the maximum tensile force has been developed as shown in Figure so that the tensile strength at break is lower than the tensile strength. 08/10/2012 3 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 4. 08/10/2012 4 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 5. Stress • The force at which a specimen breaks is directly proportional to its cross sectional area, therefore when comparing the strengths of different fibres, yarns and fabrics allowances have to be made for this. • Stress is a way of expressing the force on a material in a way that allows for the effect of the cross-sectional area of the specimen on the force needed to break it: Back to Modulus 08/10/2012 5 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 6. • In the case of textile materials the cross- sectional area can only be easily measured in the case of fibres with circular cross-sections. The cross sections of yarns and fabrics contain an unknown amount of space as well as fibres so that in these cases the cross-sectional area is not clearly defined. • Therefore stress is only used in a limited number of applications involving fibres. 08/10/2012 6 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 7. Specific (mass) stress • Specific stress is a more useful measurement of stress in the case of yarns as their cross- sectional area is not known. The linear density of the yarn is used instead of the cross- sectional area as a measure of yarn thickness. This allows the strengths of yarns of different linear densities to be compared. 08/10/2012 7 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 8. Tenacity • Tenacity is defined as the specific stress corresponding with the maximum force on a force/extension curve. The nominal denier or tex of the yarn or fibre is the figure used in the calculation; no allowance is made for any thinning of the specimen as it elongates. 08/10/2012 8 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 9. Elongation • Elongation is the increase in length of the specimen from its starting length expressed in units of length. The distance that a material will extend under a given force is proportional to its original length, therefore elongation is usually quoted as strain or percentage extension. 08/10/2012 9 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 10. Strain • The elongation that a specimen undergoes is proportional to its initial length. Strain expresses the elongation as a fraction of the original length: Back to Modulus 08/10/2012 10 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 11. Extension percentage • This measure is the strain expressed as a percentage rather than a fraction: 08/10/2012 11 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 12. Force elongation curve • When an increasing force is gradually applied to a textile material so that it extends and eventually breaks, the plot of the applied force against the amount that the specimen extends is known as a force-elongation or stress-strain curve. The curve contains far more information than just the tensile strength of the material. The principal features of a force elongation curve, in this case of a wool fibre, are shown in figure. 08/10/2012 12 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 13. 08/10/2012 13 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 14. Yield point • Depending on the material being tested, the curve often contains a point where a marked decrease in slope occurs. This point is known as the yield point. At this point important changes in the force elongation relationship occur. Before the yield point the extension of the material is considered to be elastic, that is the sample will revert to its original length when the force is removed. Above the yield point in most fibres, some of the extension is non-recoverable, that is the sample retains some of its extension when the force is removed. 08/10/2012 14 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 15. • The change in properties is seen at its most marked in undrawn or partially oriented material because at this point the orientation of the polymer molecules is improved and the material is said to 'draw'. The material continues to extend without an increase in the applied force until it reaches a limit. When the material has finished drawing, the rest of the force extension curve represents the properties of the drawn material which has a higher tenacity owing to the improved orientation. 08/10/2012 15 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 16. 08/10/2012 16 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 17. • The yield point is not a definite point on the curve; more often there is a region of continuous change in the curvature between the two different parts of the curve. Therefore in order to measure the force or extension at which it occurs it is necessary to define it. There are four possible methods of defining the yield point. 08/10/2012 17 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 18. Slope threshold • In this method the slope of the initial linear region is determined, shown as A in the figure and the point where the slope of the curve decreases to a specified fraction of the initial slope shown at B is taken as the yield point. 08/10/2012 18 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 19. 08/10/2012 19 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 20. Offset yield • In this method the slope of the initial linear region is determined as before. The offset yield point is then defined as the point on the curve where a line parallel to the initial linear modulus region of the curve, but offset from it by a definite value of extension, intersects the test curve. This is shown in Figure. 08/10/2012 20 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 21. 08/10/2012 21 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 22. Zero slope method • In this method the point at which the slope of the test curve falls to zero is found. This method is only applicable to certain specimens such as that shown in Figure where the slope actually falls to zero. 08/10/2012 22 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 23. 08/10/2012 23 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 24. Meredith's construction • In this method suggested by Meredith the line joining the origin with the breaking point is first constructed. The yield point is then defined as the point on the curve at which the tangent is parallel to this line as shown in Figure. 08/10/2012 24 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 25. 08/10/2012 25 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 26. Modulus • The slope of the first linear part of the curve up to the yield point is known as the initial modulus (Young's modulus) and it is the value generally referred to when speaking of modulus without qualification. Modulus as a general term means the slope of the force-elongation curve and it is a measure of the stiffness of the material, that is its resistance to extension. The higher the modulus of a material, the less it extends for a given force. If the curve is plotted in terms of stress against strain the units of modulus are the same as those of stress, that is force per unit area such as pascals. • There are a number of possible moduli that may be measured. 08/10/2012 26MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 27. Young's modulus • This value is obtained from the slope of the least squares fit straight line made through the steepest linear region of the curve as shown in Figure. 08/10/2012 27 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 28. 08/10/2012 28 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 29. Chord modulus • This value is the slope of the straight line drawn between two specified points on the curve as shown in Figure. It is not necessary to know the details of the curve between the two points as the value can be derived from measurements of the difference in force between two given values of extension or the difference in extension between two given values of force. 08/10/2012 29 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 30. 08/10/2012 30 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 31. Tangent modulus • This value is the slope of the straight line drawn at a tangent to the curve at a specified point as shown in Figure. 08/10/2012 31 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 32. 08/10/2012 32 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 33. Time dependence • Even in the initial straight line region of the force extension curve textile materials do not behave as strictly elastic materials. Their behaviour is fitted better by a viscoelastic model as the relationship between applied stress and resultant strain contains a time- dependent element. 08/10/2012 33 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 34. • This time dependence is seen when a yarn or fabric is extended by a given amount and then held at that extended length. If the force required to do this is monitored, it is found to rise immediately to a maximum value and then slowly decrease with the passage of time. • This phenomenon is known as stress relaxation. 08/10/2012 34 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 35. 08/10/2012 35 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 36. • If instead of a fixed extension, a fixed force is applied to the material, there is found to be an initial extension of a magnitude that is expected from the force-extension curve followed by a further slow extension with time. • This behaviour is known as creep and its magnitude is an important property to consider when assessing materials that have to be kept under load for a long period of time, such as geotextiles. • As the level of force, usually expressed as a percentage of the tensile strength, increases, the rate of creep increases. • The rate of creep also increases with increasing temperature. 08/10/2012 36 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 37. • Depending on the level of force and the type of fibre, creep can continue indefinitely until the material fails. The level of force should be set so that the time to failure is longer than the expected life of the product. 08/10/2012 37 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 38. • After a textile material has been subject to a force even for a short period of time the complete removal of the force allows the specimen to recover its original dimensions, rapidly at first and then more slowly with perhaps a small amount of residual extension remaining. This remaining extension is known as permanent set. • As a simplified explanation the instantaneous extension can be considered to be composed of two quantities, the elastic extension, which is completely recoverable, and the plastic or permanent extension, which is not recoverable. • According to this simplified theory when a material is subject to forces below its yield point then most of the extension is recoverable, whereas if the force is sufficient to take the material beyond its yield point a fraction of the extension will be permanent. 08/10/2012 38 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 39. Elastic recovery • When textile materials are stretched by forces that are below the level of their breaking strength and are then allowed to recover, they do not immediately return to their original length. How much of the original length they recover depends on the force used, the length of time the force is applied for and the length of time allowed for the recovery. 08/10/2012 39 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 40. • Perfectly elastic materials will have a value of 100%. It was found experimentally that the percentage recovery decreased steadily with increasing extension of the material up to the yield point where the recovery decreased sharply. 08/10/2012 40 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 41. 08/10/2012 41 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 42. • The elastic recovery is also a time-dependent phenomenon, the recovery depending, among other factors, on the time the material is held at a given extension. The longer it is held at a given extension, the lower is the level of recovery. 08/10/2012 42 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri
  • 43. 08/10/2012 43 MSc Textile Engineering – A.Y. 2012-2013 Ada Ferri