Burgers material

A Burgers material is a viscoelastic material which consists of a Maxwell material and a Kelvin material in series. It is named after the Dutch physicist Johannes Martinus Burgers.

Given four rheological constants $a_1$, $a_2$, $a_3$, and $a_4$, the Burgers model has the constitutive equation

$\sigma + a_1\dot{\sigma} + a_2\ddot{\sigma} = a_3\gamma + a_4\dot{\gamma}$

where $\sigma$ is the stress and $\gamma$ is the rate of deformation.^[1]

See also

• Generalized Maxwell model
• Standard linear solid model

References

1. ↑ 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