The mathematical model is constructed for describing joint deformation of a fiber and a binder under the influence of dynamic loadings. Materials of a fiber and a binder are plastic-rigid with linear hardening. The researchers formulate the system of differential equations describing movement of absolutely firm fiber and binder№s plastic deformation. The developed numerically-analytical method allows us to define residual displacement of a fiber after removal of external loading. Procedure of iterative specification of shear stress in a zone of fiber-binder contact and borders of a plasticity zone in binder on each time step is offered.

Key words: plastic-rigid fiber, dynamic extract, metal composite.