Module 3: Dynamic Properties and Selection of Materials
Lecture 12: Linear Viscoelastic Model
Kelvin-Voight Model
Let us consider the force-deformation relationship of a two parameter model in the parallel combination of a
linear spring of stiffness and a viscous dashpot of damping coefficient (Fig.12.1).
Fig12.1: Kelvin-Voight model
The stress-strain relationship of the spring and damper elements could be written as
and
where, the subscript "" and "" stand for spring and damper respectively.
Since, for the case the overall strain is such that
and a viscous dashpot of damping coefficient 
(Fig.12.1). 
and 
" and "
" stand for spring and damper respectively.
is such that 
and 
