NONLINEAR MULTILEVEL MODELS FOR COMPOSITE DEFORMATION AND FRACTURE MECHANICS

The statement of nonlinear coupled boundary-value micromechanics problems for predicting the strength properties of composites is proposed. Such problems take into consideration the stage of structural accumulation of damages when the fields of structural damages are locally ergodic. The basis equations are added in order to describe the structural destruction and to predict the strength properties of composites. New material carrier, a four-rank damage tensor, is introduced. New functionals of the coupled stochastic boundary-value problem, allowing prediction of the elastic properties and estimation of strength surfaces of real composites, are built.