X. Lin et J. Ballmann, A RIEMANN SOLVER AND A 2ND-ORDER GODUNOV METHOD FOR ELASTIC-PLASTIC WAVE-PROPAGATION IN SOLIDS, International journal of impact engineering, 13(3), 1993, pp. 463-478
By use of three basic paths of elastic-plastic loading, a Riemann solv
er is established for the one-dimensional combined longitudinal and to
rsional stress wave problem of the thin-walled elastic-plastic tube. B
ased on this, a second-order Godunov method is developed for the numer
ical computation of elastic-plastic waves. Finally the numerical metho
d is applied to some basic problems with known exact solutions and the
comparison of results is made.