Measuring Viscosity of Materials with Dynamic Modulus

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SUMMARY

The dynamic modulus of materials is quantified by measuring the storage and loss modulus through a sinusoidal force and strain response. A higher loss modulus indicates a more viscous material, while a lower storage modulus suggests elasticity. The ratio of the loss modulus to the storage modulus, known as the tangent of the phase angle, serves as a measure of viscoelasticity. This ratio varies with frequency, with elastic behavior dominating at high frequencies and viscous behavior at low frequencies. There is no standard frequency universally accepted for measuring the tangent of the phase angle across different polymers.

PREREQUISITES
  • Understanding of dynamic modulus and its components: storage modulus and loss modulus
  • Knowledge of viscoelasticity and its measurement techniques
  • Familiarity with sinusoidal force application in material testing
  • Basic principles of frequency dependence in material behavior
NEXT STEPS
  • Research the methods for measuring storage and loss modulus in polymers
  • Explore the significance of the tangent of the phase angle in material science
  • Investigate the effects of frequency on viscoelastic properties of various materials
  • Learn about common testing standards for dynamic modulus measurements
USEFUL FOR

Material scientists, polymer engineers, and researchers focused on the viscoelastic properties of materials will benefit from this discussion.

gkiverm
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I understand that the dynamic modulus of a material is measured by inducing a sinusoidal force and measuring the strain response. Usually one gets a value for the storage and loss modulus. However, I don't understand how one would "quantify" how viscous a material is. I know a viscous material (less elastic) has a higher loss modulus and a lower storage modulus. But is there a certain ratio of the two variables where one considers a material mostly elastic or mostly viscous? I guess it would be easier if I can get a value for the dynamic modulus for some common materials. In addition, I understand the dynamic modulus is dependent on the frequency. So which frequency is common one to use when judging how viscous / elastic a material is?
 
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The ratio of the loss modulus to the storage modulus is the tangent of the phase angle. This is a measure of the ratio of viscous response to elastic response. The behavior varies with frequency. At very high frequencies, elastic behavior dominates, and at very low frequencies, viscous behavior dominates. So, in practice, it all depends on how rapidly the polymer is deforming in your actual process.

Chet
 
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So if the tangent of the phase angle varies as frequency varies, is there a standard frequency people use to measure the tangent of the phase angle to compare the viscoelasticity of different polymers?
 
gkiverm said:
So if the tangent of the phase angle varies as frequency varies, is there a standard frequency people use to measure the tangent of the phase angle to compare the viscoelasticity of different polymers?
No.

Chet
 

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