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Standard linear solid model : ウィキペディア英語版
Standard linear solid model
The standard linear solid (SLS) model, also known as the Zener model, 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 more similar Maxwell model and the Kelvin–Voigt model are used. These models are often proved insufficient, however; the Maxwell model does not describe creep or recovery, and the Kelvin–Voigt model does not describe stress relaxation. SLS is the simplest model that predicts both phenomena.
== Definition ==

Materials undergoing strain are often modeled with mechanical components, such as springs (restorative force component) and dashpots (damping component).
Connecting a spring and damper in series yields a model of a Maxwell material while connecting a spring and damper in parallel yields a model of a Kelvin–Voigt material.〔David Roylance, "Engineering Viscoelasticity" (October 24, 2001) http://ocw.mit.edu/courses/materials-science-and-engineering/3-11-mechanics-of-materials-fall-1999/modules/visco.pdf〕 In contrast to the Maxwell and Kelvin–Voigt models, the SLS is slightly more complex, involving elements both in series and in parallel. Springs, which represent the elastic component of a viscoelastic material, obey Hooke's Law:
:\sigma_ = E \varepsilon
where σ is the applied stress, E is the Young's Modulus of the material, and ε is the strain. The spring represents the elastic component of the model's response.〔
Dashpots represent the viscous component of a viscoelastic material. In these elements, the applied stress varies with the time rate of change of the strain:
: \sigma_D = \eta \frac
where η is viscosity of the dashpot component.
These elements are connected as shown on the picture:
This model consists of two systems in parallel. The first, referred to as the Maxwell arm, contains a spring (E = E_2) and dashpot (viscosity \eta) in series.〔 The other system contains only a spring (E = E_1).

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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