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Behavior of a VE solid can be illustrated using the combination of a spring and a dashpot in parallel connection (see Figure 5.6). Both components are connected by a rigid frame. The mathematical fundamentals, in the form of a differential equation, were first presented by O. E. Meyer (1874 [5.10] [5.2]). However, due to later works of W. Thomson (Kelvin, 1878 [5.11]) and W. Voigt (1892 [5.12]), usually nowadays, the model is called the Kelvin/Voigt model. Sometimes it is also named Voigt/Kelvin model (as in DIN 1342-1), or Kelvin model [5.13], or Voigt model [5.14].

Figure 5.6: The Kelvin/Voigt model to simulate the deformation behavior of viscoelastic solids

Figure 5.7: Simulation of the deformation

behavior of a viscoelastic solid using the

Kelvin/Voigt model