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Viscoelastic Materials Viscoelastic Materials consist of polymers of variable chain length and filters resulting in the following stress strain diagram.
Slope of the major axis of the ellipse is a measure of material stiffness while the ratio of the minor to major axis is a measure of damping.
Considering shear deformation of the viscoelastic materials the stress-strain relationship may be written as
where r(t) =shear stress, φ(t) is the shear strain.G' is the real part of the shear modulus (Storage Modulus) and G" is the imaginary part of the shear modulus (Loss Modulus).
Stress-strain relationship
The generalised stress-strain relationship in a polymer could be written as
where is 
the stress and ε is the strain. In this relationship, if all the coefficients a0 ..., an and b0 ... ,are constants, the material is referred to as linear viscoelastic. The reason the material is called thus is that we can, combining linear springs (elastic) and dashpots (viscous), arrive at the stressstrain relationship with constant coefficients.
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