Kinematics and elasticity framework for materials with two fiber families

J. C. Criscione, W. C. Hunter

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


A kinematics framework is developed for materials with two fiber families that are not necessarily orthogonal or mechanically equivalent. These two latter conditions represent important subclasses that are analyzed. To succinctly define the strain, six scalar strain attributes are developed that have direct physical interpretation. In the hyperelastic limit, this approach allows the Cauchy stress t to be expressed as the sum of six response terms, almost all of which are mutually orthogonal (i.e. 14 of the 15 inner products vanish). For small deformations, the response terms are entirely orthogonal (i.e. all 15 inner products vanish). Experimental advantage is demonstrated for finite strain hyperelastic materials by showing that common tests, for the first time, can directly determine terms in the strain energy function of two fiber composites.

Original languageEnglish (US)
Pages (from-to)613-628
Number of pages16
JournalContinuum Mechanics and Thermodynamics
Issue number6
StatePublished - Dec 2003

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Mechanics of Materials
  • General Physics and Astronomy


  • Composite materials
  • Continuum mechanics
  • Finite elasticity
  • Solid mechanics


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