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dynamic modulus : ウィキペディア英語版
dynamic modulus
Dynamic modulus is the ratio of stress to strain under ''vibratory conditions'' (calculated from data obtained from either free or forced vibration tests, in shear, compression, or elongation). It is a property of viscoelastic materials.
== Viscoelastic stress–strain phase-lag ==

Viscoelasticity is studied using dynamic mechanical analysis where an oscillatory force (stress) is applied to a material and the resulting displacement (strain) is measured.〔(PerkinElmer "Mechanical Properties of Films and Coatings" )〕
*In purely elastic materials the stress and strain occur in phase, so that the response of one occurs simultaneously with the other.
*In purely viscous materials, there is a phase difference between stress and strain, where strain lags stress by a 90 degree (\pi/2 radian) phase lag.
*Viscoelastic materials exhibit behavior somewhere in between that of purely viscous and purely elastic materials, exhibiting some phase lag in strain.〔Meyers and Chawla (1999): "Mechanical Behavior of Materials," 98-103.〕
Stress and strain in a viscoelastic material can be represented using the following expressions:
*Strain: \varepsilon = \varepsilon_0 \sin(\omega t)
*Stress: \sigma = \sigma_0 \sin(\omega t+ \delta) \,
where
: \omega =2 \pi f where f is frequency of strain oscillation,
:t is time,
: \delta is phase lag between stress and strain.

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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