HYPERBOLIC FORM OF ELASTIC-PLASTIC FLOW EQUATIONS

T.A. Bychenkov
VANT. Ser.: Mat. Mod. Fiz. Proc 1993. Вып.3. С. 22-25.

      Correctness (hyperbolic nature) of elastic-plastic medium model with respect to friability using an associated flow law is studied. The paper gives mathematically correct form of elastic- plastic dynamic equations for isotropic medium deformation which allows to take into account shearing stress relaxation kinetics, dilatancy, anisotropic cracking. The explicit difference scheme stability conditions according to von Neumann conditions are obtained.