Modeling Cylindrical Inhomogeneity of Finite Length with Steigmann–Ogden Interface

Lidiia Nazarenko, Henryk Stolarski, Holm Altenbach

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A mathematical model employing the concept of energy-equivalent inhomogeneity is applied to analyze short cylindrical fiber composites with interfaces described by the Steigmann–Ogden material surface model. Real inhomogeneity consists of a cylindrical fiber of finite length, and its surface possessing different properties is replaced by a homogeneous, energy-equivalent cylinder. The properties of the energy-equivalent fiber, incorporating properties of the original fiber and its interface, are determined on the basis of Hill’s energy equivalence principle. Closed-form expressions for components of the stiffness tensor of equivalent fiber have been developed and, in the limit, shown to compare well with the results available in the literature for infinite fibers with the Steigmann–Ogden interface model. Dependence of those components on the radius, length of the cylindrical fiber, and surface parameters is included in these expressions. The effective stiffness tensor of the short-fiber composites with so-defined equivalent cylindrical fibers can be determined by any homogenization method developed without accounting for interface.

Original languageEnglish (US)
Article number78
JournalTechnologies
Volume8
Issue number4
DOIs
StatePublished - Dec 2020

Bibliographical note

Funding Information:
This research was funded by the German Research Foundation (DFG), grant number AL 341/51-1. Acknowledgments

Publisher Copyright:
© 2020 by the authors.

Keywords

  • anisotropic properties
  • equivalent cylinder of finite length
  • Steigmann–Ogden surface model

Fingerprint

Dive into the research topics of 'Modeling Cylindrical Inhomogeneity of Finite Length with Steigmann–Ogden Interface'. Together they form a unique fingerprint.

Cite this