Mechanical response of neo-Hookean fiber reinforced incompressible nonlinearly elastic solids

Z. Y. Guo*, X. Q. Peng, B. Moran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

69 Scopus citations


The mechanical behavior of an incompressible neo-Hookean material, directionally reinforced by neo-Hookean fibers, is examined under homogeneous deformations. A composite model for this transversely isotropic material is developed based on a multiplicative decomposition of the deformation gradient which considers interaction between the fiber and the matrix. The so-called standard reinforcing model exhibits non-monotonic behavior in compression. The present composites-based approach leads to a modification of the standard reinforcing model in which monotonic behavior in compression is observed. This stems from the micromechanical basis of the model in which the fiber is treated as a neo-Hookean material. The conditions for loss of monotonicity and positivity in the stress-shear behavior in off-axis simple 2D shear are also obtained.

Original languageEnglish (US)
Pages (from-to)1949-1969
Number of pages21
JournalInternational Journal of Solids and Structures
Issue number6
StatePublished - Mar 15 2007
Externally publishedYes


  • Anisotropy
  • Fiber reinforcement
  • Finite strain
  • Large deformation
  • Multiplicative decomposition
  • Neo-Hookean material
  • Nonlinear elasticity
  • Transverse isotropy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics
  • General Materials Science
  • Modeling and Simulation


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