Structural Model of Spatially and Plane Reinforced Medium from Rigid-Plastic Anisotropic Materials with Different Yield Limits under Tension and Compression

Abstract

Structural models for three-dimensional fiber-reinforced hybrid composite media and for particular two-dimensional problems have been developed. Using these models, one can calculate the surfaces and yield curves of the composition. The three-dimensional stress state in all components is taken into account. The materials of the composition components are homogeneous and anisotropic, their mechanical behavior is described by the associated flow law for a rigid-plastic body with general quadratic yield conditions. Components have different resistance to tension and compression. To perform constructions, stresses in components are presented in parametric form. The yield curves are calculated for a model in-plane reinforced composition of orthotropic phase materials. The influence of the direction of reinforcement, transverse normal stress and anisotropy parameters of the composition components on the shape and dimensions of the yield curves of the composite material under consideration has been studied. It has been shown that the anisotropy of the binder has a greater effect on the shape and dimensions of the yield surface of the composition than the anisotropy of the reinforcing fibers. It has been demonstrated that plastic flow in a reinforced medium is associated with the calculated yield curves (surfaces) of the composition. It is shown that in the presence of strongly pronounced anisotropy in the reinforcement, a structural model with a one-dimensional stress state in the fibers does not allow adequate calculation of the yield curves and surfaces of the composite medium.