Abstract
The two-level carcass theory as applied to fibrous media under large elastic and plastic deformations of matrix and fibers is expounded. The theory is incremental in its character and takes into account the deformation prehistory of the matrix and fibers in the composite media. At the macromechanical level of analysis, the geometrical equations of macroscopic deformations and the equations of macroscopic motion are defined in an incremental form. At the micromechanical (locally structural) level, incremental microboundary-value problems are solved for nodal material blocks on the basis of carcass deformations and their increments. From the internal fields found, the macroscopic stresses are determined, which allows one to close the system of equations of the macromechanical level of analysis.
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