Module 3: Dynamic Properties and Selection of Materials
  Lecture 13: Advanced Models of Viscoelastic Materials
 

Transforming in the frequency domain to  and  to  one can express the relationship between them as

 

or

 

Considering the characteristic length of the system to be ‘' and cross sectional area , we can represent the above relationship in terms of stress and strain

as

 

After inverse laplace transformation, the governing equation in time domain may be expressed as

 

or

 
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Hence, the system parameters may be expressed as