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The Kelvin–Voigt model, also called the Voigt model, is represented by a purely viscous damper and purely elastic spring connected in parallel as shown in the picture. If, instead, we connect these two elements in series we get a model of a Maxwell material. Since the two components of the model are arranged in parallel, the strains in each ...
Diagram of a Maxwell material. The Maxwell model is represented by a purely viscous damper and a purely elastic spring connected in series, [4] as shown in the diagram. If, instead, we connect these two elements in parallel, [4] we get the generalized model of a solid Kelvin–Voigt material.
These models, which include the Maxwell model, the Kelvin–Voigt model, the standard linear solid model, and the Burgers model, are used to predict a material's response under different loading conditions. Viscoelastic behavior has elastic and viscous components modeled as linear combinations of springs and dashpots, respectively. Each model ...
The standard linear solid (SLS), also known as the Zener model after Clarence Zener, [1] is a method of modeling the behavior of a viscoelastic material using a linear combination of springs and dashpots to represent elastic and viscous components, respectively. Often, the simpler Maxwell model and the Kelvin–Voigt model are used. These ...
On the other hand, the Voigt model is good at predicting creep but rather poor at predicting stress relaxation (see viscoelasticity). The extracellular matrix and most tissues are stress relaxing, and the kinetics of stress relaxation have been recognized as an important mechanical cue that affects the migration, proliferation , and ...
Schematic diagram of Burgers material, Kelvin representation Given that the Kelvin material has an elasticity E 1 {\displaystyle E_{1}} and viscosity η 1 {\displaystyle \eta _{1}} , the spring has an elasticity E 2 {\displaystyle E_{2}} and the dashpot has a viscosity η 2 {\displaystyle \eta _{2}} , the Burgers model has the constitutive equation
Such a model is called a Bingham–Kelvin model by analogy with the Kelvin model. For elastic-perfectly viscoplastic materials, the elastic strain is no longer considered negligible but the rate of plastic strain is only a function of the initial yield stress and there is no influence of hardening.
The generalized Maxwell model also known as the Maxwell–Wiechert model (after James Clerk Maxwell and E Wiechert [1] [2]) is the most general form of the linear model for viscoelasticity. In this model, several Maxwell elements are assembled in parallel.