Analytical, experimental and computational viscoelastic material characterizations absent Poisson's ratios

Michael Michaeli, Abraham Shtark, Hagay Grosbein, Andrew J. Steevens, Harry H. Hilton

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

Abstract

The objective is to formulate numerical implementations of analytical and experimental protocols to determine linear viscoelastic material properties without using Poisson's ratios, as devised in [1 - 3]. The presented analysis is in terms of 3-D generalized viscoelastic constitutive relations with hereditary integrals and relaxation moduli or creep compliances. The numerical procedures are based on experimental data from photogrammetric and tensile testing instrumentations, which provide stress data in the 1-D loaded direction and strains in both longitudinal and transverse directions. Measurements and data analyses include the entire time range of starting transient and steady-state loading conditions. The paper presents implementations of solutions for the linear case, where the relaxation time values are prescribed according to schemes of [1 - 3]. Convergence of the Prony series representations is evaluated. The full nonlinear determination of the relaxation times is also derived. Analytical simulations of experiments are formulated and evaluated to determine the accuracy of fit of the new protocol and and to evaluate experimental data.

Original languageEnglish (US)
Title of host publication52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
DOIs
StatePublished - 2011
Event52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Denver, CO, United States
Duration: Apr 4 2011Apr 7 2011

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
ISSN (Print)0273-4508

Other

Other52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Country/TerritoryUnited States
CityDenver, CO
Period4/4/114/7/11

Keywords

  • Computational
  • Constitutive relations
  • Experimental and analytical material characterizations
  • Poisson's ratio
  • Prony series
  • Simulations of experimental data
  • Viscoelasticity

ASJC Scopus subject areas

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

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