The document discusses the Maxwell and Voigt models in the context of biomechanics, specifically focusing on viscoelasticity, which describes materials that show both viscous and elastic properties when deformed. It explains the Maxwell model as a combination of a linear spring and a linear viscous dashpot in series, detailing the relationship between stress, strain, and viscosity. Key equations related to the models and their implications for material behavior are provided.

1. BIOMECHANICS
Maxwell and
Voigt Model
Prepared by Atheena Pandian
01

2. PRESENTATION
OVERVIEW
KEY TOPICS
Maxwel Model
Derivation
Results
1.
2.
3.
02

3. VISCOELASTICITY
Viscoelasticity is the property of materials
that exhibit both viscous and elastic
characteristics when undergoing deformation.
Viscous materials, like water, resist shear
flow and strain linearly with time when a
stress is applied.

4. CONDT.....
Viscous materials, like water, resist shear
flow and strain linearly with time when
a stress is applied. Elastic materials strain
when stretched and immediately return to
their original state once the stress is
removed.

5. WHAT IS MAXWELL MODEL?
The Maxwell model is a two-element model
consisting of a linear spring element and a
linear viscous dashpot element connected in
series.

6. Maxwell Model

7. Maxwell Model
where σ is the stress, E is the elastic modulus of
the material, and ε is the strain that occurs under
the given stress, similar to Hooke's law.
The elastic components can be modeled
as springs of elastic constant E, given the
formula:

8. Maxwell Model
The viscous components can be modeled
as dashpots such that the stress–strain rate
relationship can be given as,
where σ is the stress, η is the viscosity of the
material, and dε/dt is the time derivative of strain.

9. Maxwell Model
Derivation

10. Maxwell Model

11. Maxwell Model

12. Maxwell Model

13. Good Luck