Abstract
Models of unidirectionally and orthogonally fiber-reinforced hybrid media of a regular periodic structure allowing one to determine the yield loci for these composites are constructed. Phase materials of the compositions are isotropic, and their mechanical behavior is described by the associated flow rule for rigid-plastic bodies with the Tresca yield condition. A plane stress state is assumed in the composition and all its components, and fibers are oriented along the directions of principal stresses in the composite body. The cases of rectangular and arbitrary cross sections of reinforcing fibers are considered. Analytical expressions for equations describing the regimes of yield conditions are obtained. Different passages to the limit of a homogeneous medium are investigated. Yield loci calculated by the models proposed and the widely used structural model with a one-dimensional stress state in fibers are compared. Yield loci in the case of imperfect adhesion between the reinforcement and binder material are constructed.
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