Burgers material
A Burgers material is a viscoelastic material having the properties both of elasticity and viscosity. It is named after the Dutch physicist Johannes Martinus Burgers.
Overview
Maxwell representation
![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/48/Burgers_model_2.svg/220px-Burgers_model_2.svg.png)
Given that one Maxwell material has an elasticity and viscosity , and the other Maxwell material has an elasticity and viscosity , the Burgers model has the constitutive equation
where is the stress and is the strain.
Kelvin representation
![](http://upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Burgers_model.svg/220px-Burgers_model.svg.png)
Given that the Kelvin material has an elasticity and viscosity , the spring has an elasticity and the dashpot has a viscosity , the Burgers model has the constitutive equation
where is the stress and is the strain.[1]
Model characteristics
![](http://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Comparison_three_four_element_models.svg/300px-Comparison_three_four_element_models.svg.png)
This model incorporates viscous flow into the standard linear solid model, giving a linearly increasing asymptote for strain under fixed loading conditions.
See also
- Generalized Maxwell model
- Kelvin–Voigt material
- Maxwell material
- Standard linear solid model
References
- ^ Malkin, Alexander Ya.; Isayev, Avraam I. (2006). Rheology: Concepts, Methods, and Applications. ChemTec Publishing. pp. 59–60. ISBN 9781895198331.
External links
- Creep and Stress Relaxation for Four-Element Viscoelastic Solids and Liquids, Wolfram Demonstrations Project
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