Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 44, Issue 6, Pages 1949-1969Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2006.08.018
Keywords
neo-Hookean material; multiplicative decomposition; nonlinear elasticity; transverse isotropy; anisotropy; fiber reinforcement; large deformation; finite strain
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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 steins 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. (c) 2007 Published by Elsevier Ltd.
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