Linear Viscoelasticity - Part 5 - Rheological Model

This is part 6 of my series on Linear Viscoelasticity. In this article I will show how  the integral equation form of linear viscoelasticity (which I introduced in Part 1) is actually identical to a rheological model with parallel networks of linear springs and dashpots. There are 2 reasons why this discovery is important: (1) for most people it is easier to visualize how a spring-dashpot system behaves than an integral equation; (2) It provides a way to easily generalized linear viscoelasticity to non-linear viscoelasticity.

0:00 Introduction
1:02 Maxwell Model
1:57 Strain Jump
3:33 Maxwell Stress
5:05 Non-linear Viscoelasticity
5:52 Summary

[Behzad_sl]

Hi Dr. Bergstrom can you explain rheological equation when 2 maxwell model are parallel?

[margheritawrobel]

Hi Dr. Bergstrom could you make a video explaining the basics of the Mcalibration software, in particular how data is brought from an axial or biaxial strain to the deformation gradient and to the various models (hyperelastic, viscoplastic) and what these models give us back, for example if I do a calibration with 3 tests how these are added in the tensor of the tensions and what the Mcalibration software exports. Thank you.