A DEFORMATION MODEL OF BRITTLE FAILING COMPOSITES WITH COUPLE-STRESSES AND DISPERSE MICRODAMAGES

摘要

A mathematical model for calculating the relations between macroscopic strains and stresses in brittle failing 3D composites upon their arbitrary deformation is suggested. The model is based on the Voight scheme in a differential form corrected for the effect of couple-stresses arising in the matrix of composites due to relative rotation of reinforcing fibers. The nonlinearity of composites is derived as a consequence of the progressive accumulation of disperse microdamages in the material under deformation, which lead to degradation of the machanical properties of composites. As an example, a +-#PSI#/2 angle-ply structure is considered, and it is shown how the unknown constants for the materials of such a structure can be found from the unidirectional tension or compression curves.