Efficient modeling of elastomeric materials using fractional derivatives and plastic yielding

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

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations

Abstract

A new model is developed that captures the frequency and amplitude-dependent behavior often exhibited by elastomeric materials. A continuously-yielding friction element is used to capture the amplitude-dependent variation of the 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. Nonlinearity is introduced into the fractional derivative element, and a complete model containing the nonlinear fractional derivative and frictional elements is developed. A prior 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 eight fewer parameters, 8 instead of 16, predicts mechanical behavior very similar to that of its predecessor.

Original languageEnglish (US)
Pages (from-to)1886-1894
Number of pages9
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume3
StatePublished - Jan 1 2002
Event43rd Structures, Structural Dynamics and Materials Conference - Denver, CO, United States
Duration: Apr 22 2002Apr 25 2002

All Science Journal Classification (ASJC) codes

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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