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Kelvin–Voigt material : ウィキペディア英語版
Kelvin–Voigt material
A Kelvin–Voigt material, also called a Voigt material, is a viscoelastic material having the properties both of elasticity and viscosity. It is named after the British physicist and engineer Lord Kelvin and after German physicist Woldemar Voigt.
== Definition ==

The Kelvin–Voigt model, also called the Voigt model, can be represented by a purely viscous damper and purely elastic spring connected in parallel as shown in the picture.
If 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 component are identical:
: \varepsilon_\text = \varepsilon_D = \varepsilon_S.
Similarly, the total stress will be the sum of the stress in each component:
: \sigma_\text = \sigma_D + \sigma_S.
From these equations we get that in a Kelvin–Voigt material, stress σ, strain ε and their rates of change with respect to time ''t'' are governed by equations of the form:
:\sigma (t) = E \varepsilon(t) + \eta \frac ,
where ''E'' is a modulus of elasticity and \eta is the viscosity. The equation can be applied either to the shear stress or normal stress of a material.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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