Meaning
Mechanical representation of viscoelastic behavior combines Maxwell and Kelvin Voigt elements in series. Rheologists use the burger model to simulate materials that exhibit both immediate elastic recovery and delayed viscoelastic response. The framework accurately describes the behavior of polymers, asphalt, and biological tissues under stress.
Mathematical Foundation
Differential equations govern the deformation response over time by summing the strain contributions of the individual components. The burger model predicts the total strain as a function of the constant stress applied to the material. This relation incorporates both short term elastic deformation and long term viscous flow.
Physical Analog
Mechanical springs and dashpots connected in a specific sequence provide a visual representation of the behavior. The burger model employs a spring and dashpot in series to represent the Maxwell element, coupled with a spring and dashpot in parallel for the Kelvin Voigt element. This setup allows for the simultaneous modeling of instantaneous elasticity, retarded elasticity, and pure viscous flow.
When a force is applied, the series spring deforms instantly, whereas the parallel element restricts immediate movement, causing a gradual increase in strain. Upon releasing the load, the Maxwell spring recovers instantly, the parallel element recovers gradually, and the Maxwell dashpot retains a permanent deformation.
Creep Application
Transient load testing reveals how polymeric materials deform under constant tension or compression. Scientists apply the burger model to evaluate the creep and recovery phases of materials in industrial applications. The model yields parameters that help engineers predict long term structural stability under sustained mechanical loads.
Such predictions are valuable when designing structural parts.