Efficient modeling of elastomeric materials using fractional derivatives and plastic yielding

Deepak S. Ramrakhyani, George A. Lesieutre, Edward Smith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new model is developed that captures frequency and amplitude-dependant behavior often exhibited by elastomeric materials. The new model requires substantially fewer parameters than does a recently developed model based on Nonlinear Anelastic Displacement Fields and Friction elements. A continuously yielding friction element is used to capture the amplitude dependence modulus, independent of the frequency. A linear fractional derivative model based on Anelastic Displacement Fields is used in parallel to capture the mild frequency dependence of the dynamic modulus. The model based on Nonlinear Multi Anelastic displacement field and Friction elements, which accurately captures the dynamic behavior of elastomers in a frequency range of 0.01 to 10 HZ and a strain amplitude range of 0.1% to 20%, is used to characterize the new model. The new model, featuring seven fewer parameters, predicts mechanical behavior very similar to that of its predecessor. Also, the parameters of the new model have a more direct physical interpretation than those of the original model.

Original languageEnglish (US)
Title of host publication19th AIAA Applied Aerodynamics Conference
StatePublished - 2001
Event19th AIAA Applied Aerodynamics Conference 2001 - Anaheim, CA, United States
Duration: Jun 11 2001Jun 14 2001

Other

Other19th AIAA Applied Aerodynamics Conference 2001
CountryUnited States
CityAnaheim, CA
Period6/11/016/14/01

Fingerprint

Plastics
Derivatives
Friction
Elastomers

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Mechanical Engineering

Cite this

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title = "Efficient modeling of elastomeric materials using fractional derivatives and plastic yielding",
abstract = "A new model is developed that captures frequency and amplitude-dependant behavior often exhibited by elastomeric materials. The new model requires substantially fewer parameters than does a recently developed model based on Nonlinear Anelastic Displacement Fields and Friction elements. A continuously yielding friction element is used to capture the amplitude dependence modulus, independent of the frequency. A linear fractional derivative model based on Anelastic Displacement Fields is used in parallel to capture the mild frequency dependence of the dynamic modulus. The model based on Nonlinear Multi Anelastic displacement field and Friction elements, which accurately captures the dynamic behavior of elastomers in a frequency range of 0.01 to 10 HZ and a strain amplitude range of 0.1{\%} to 20{\%}, is used to characterize the new model. The new model, featuring seven fewer parameters, predicts mechanical behavior very similar to that of its predecessor. Also, the parameters of the new model have a more direct physical interpretation than those of the original model.",
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Ramrakhyani, DS, Lesieutre, GA & Smith, E 2001, Efficient modeling of elastomeric materials using fractional derivatives and plastic yielding. in 19th AIAA Applied Aerodynamics Conference. 19th AIAA Applied Aerodynamics Conference 2001, Anaheim, CA, United States, 6/11/01.

Efficient modeling of elastomeric materials using fractional derivatives and plastic yielding. / Ramrakhyani, Deepak S.; Lesieutre, George A.; Smith, Edward.

19th AIAA Applied Aerodynamics Conference. 2001.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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