NONCORRECTNESS OF AN ELASTIC-PLASTIC FLOW MODEL IN THE WILKINS METHOD

V. A. Bychenkov, V. A. Svidinsky
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.3. С. 34-37.

      A system of elastic-plastic medium behavior equations incorporated into the Wilkins model is examined. A complete system of equations is proved analytically to be nonhyperbolic for a purely plastic flow in a region of stressed states. The nonhyperbolic nature of the system in a plastic flow makes the total elastic- -plastic model noncorrect for given initial conditions which is exemplified by a problem solved numerically with a difference scheme similar to the Wilkins technique.