Abstract
The buckling problem for a nonlinearly elastic circular rod with a coating is studied in the case of axial compression under external hydrostatic pressure. It is assumed that the coating was pre-deformed and contains initial (residual) stresses. Both the rod and the coating areassumed to be made of materials with a complex microstructure such as, for example, metal or polymer foams. To take into account the microstructure influence, the Cosserat continuum model is used for describing the behavior of the considered composite structure. The linearized equilibrium equations are derived in the case of a physically linear micropolar material. By solving them the stability regions are constructed in the plane of loading parameters for rods of different sizes and coatings of various thicknesses. Extensive analysis has been carried out for the influence of initial deformations of the coating on the buckling of circular micropolar rods subjected to combined loading.
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