Numerical time-frequency transform technique for the determination of the complex modulus of composite and polymeric biomaterials from transient time-based experiments

Jeremy L. Gilbert, De Rei Dong

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

2 Scopus citations

Abstract

A numerical time-frequency transform technique is described that can be used to determine the complex modulus of a material as a function of frequency from stress relaxation experiments. This technique uses analog-to-digital data acquisition techniques to obtain the time domain response over several decades of time. Numerical filtering techniques are then applied to reduce spurious noise. An exponential interpolating function is fit to the relaxation data and this function is then transformed into the frequency domain with the use of piece-wise integration of the Laplace transform. The error associated with the numerical transform technique is found to be very small (on the order of 10-4%) when analyzing ideal behavior. An experimental apparatus is developed and used in conjunction with this technique and initial tests of poly(methyl methacrylate (PMMA) and polyethylene (PE), and PMMA/GF composites reveal that relaxation peaks (maximums in the loss modulus) associated with molecular transitions in the polymers can be detected with this method. Modulus-temperature-frequency plots indicate that the methodology is able to detect changes in peaks with increasing or decreasing temperature and that some of these peaks appear to correlate with known molecular transitions.

Original languageEnglish (US)
Title of host publicationASTM Special Technical Publication
PublisherPubl by ASTM
Pages225-244
Number of pages20
Edition1173
ISBN (Print)0803118945
StatePublished - Jan 1 1994
EventProceedings of the Symposium on Biomaterials' Mechanical Properties - Pittsburgh, PA, USA
Duration: Sep 14 1992Sep 18 1992

Publication series

NameASTM Special Technical Publication
Number1173
ISSN (Print)0066-0558

Other

OtherProceedings of the Symposium on Biomaterials' Mechanical Properties
CityPittsburgh, PA, USA
Period9/14/929/18/92

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Gilbert, J. L., & Dong, D. R. (1994). Numerical time-frequency transform technique for the determination of the complex modulus of composite and polymeric biomaterials from transient time-based experiments. In ASTM Special Technical Publication (1173 ed., pp. 225-244). (ASTM Special Technical Publication; No. 1173). Publ by ASTM.