Development of localized constitutive relations for fiber optic sensors using a unit cell based slicing approach

Santosh Ramachandran, Aditi Chattopadhyay, Robert Goldberg, Mark Seaver, Linfa Zhu

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

Abstract

A new technique to characterize localized linear elastic constitutive behavior within a Fiber Optic Sensor (FOS) embedded parallel to reinforcing fibers has been developed. A unit cell model has been developed with stresses anywhere within the unit cell formulated as a function of sensor strains. A slicing approach has been implemented within the unit cell to determine effective stresses within each slice of the unit cell. Different layers of the FOS are modeled using individual slices to model the stresses within a given slice. Numerical results are presented for SMF-28 FOS. The accuracy of the developed slicing based micromechanics approach has been validated by comparisons with results obtained using an established micromechanics analysis code based on the Generalized Method of Cells and a general purpose finite element technique. Effective unit cell stress results from all three models show close correlation to one another. In addition, convergence of normal stresses was also investigated with increasing volume fraction of surrounding reinforcing carbon fibers.

Original languageEnglish (US)
Title of host publicationSmart Structures and Materials 2006 - Smart Structures and Integrated Systems
DOIs
StatePublished - Jul 20 2006
EventSmart Structures and Materials 2006 - Smart Structures and Integrated Systems - San Diego, CA, United States
Duration: Feb 27 2006Mar 1 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6173
ISSN (Print)0277-786X

Other

OtherSmart Structures and Materials 2006 - Smart Structures and Integrated Systems
CountryUnited States
CitySan Diego, CA
Period2/27/063/1/06

Keywords

  • Fiber Optic sensor (FOS)
  • Micromechanics
  • Slicing approach
  • Unit cell

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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  • Cite this

    Ramachandran, S., Chattopadhyay, A., Goldberg, R., Seaver, M., & Zhu, L. (2006). Development of localized constitutive relations for fiber optic sensors using a unit cell based slicing approach. In Smart Structures and Materials 2006 - Smart Structures and Integrated Systems [61731G] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 6173). https://doi.org/10.1117/12.659405