Abstract
A constitutive model is developed to characterize mechanical behavior of unidirectional continuous fiber-reinforced elastomeric materials at finite strains. Assuming transversely isotropic behavior, strain energy of elastomeric composite is expressed as polyconvex functions of principal invariants defined by tensors describing deformation field and fiber directions. Parameters of polyconvex functions are evaluated based on homogenization of incompressible elastomeric matrix reinforced with unidirectional inextensible continuous fibers. Heterogeneous microstructure is identified by a representative volume element subjected to equivalent macroscopic deformations. Micromechanical results show that the strain energy of unidirectional fiber-reinforced elastomers can accurately be described by additive decomposition into isotropic and anisotropic models.
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