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A Maxwell material is the most simple model viscoelastic material showing properties of a typical liquid. It shows viscous flow on the long timescale, but additional elastic resistance to fast deformations. [1] It is named for James Clerk Maxwell who proposed the model in 1867. [2] [3] It is also known as a Maxwell fluid
The model was proposed by James G. Oldroyd. The concept is named after James Clerk Maxwell. It is the simplest observer independent constitutive equation for viscoelasticity and further is able to reproduce first normal stresses. Thus, it constitutes one of the most fundamental models for rheology. The model can be written as:
Maxwell Model concerns Maxwell fluids or Maxwell material. The material in Maxwell Model is a fluid which means it respects continuity properties for conservative equations : Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids. Maxwell model is made to estimate local conservative ...
Schematic of Maxwell-Wiechert Model. The generalized Maxwell model, also known as the Wiechert model, is the most general form of the linear model for viscoelasticity. It takes into account that the relaxation does not occur at a single time, but at a distribution of times. Due to molecular segments of different lengths with shorter ones ...
Schematic diagram of Burgers material, Maxwell representation Given that one Maxwell material has an elasticity E 1 {\displaystyle E_{1}} and viscosity η 1 {\displaystyle \eta _{1}} , and the other Maxwell material has an elasticity E 2 {\displaystyle E_{2}} and viscosity η 2 {\displaystyle \eta _{2}} , the Burgers model has the constitutive ...
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 ...
A more complex model that is based on ideas from dislocation dynamics is the Mechanical Threshold Stress (MTS) model. [29] This model has been used to model the plastic deformation of copper, tantalum, [30] alloys of steel, [31] [32] and aluminum alloys. [33] However, the MTS model is limited to strain-rates less than around 10 7 /s.
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.