par Zienkiewicz, Olgierd O.C.;Cormeau, Ivan 
Référence Lecture notes in computer science, 10 LNCS, page (259-287)
Publication Publié, 1974
Référence Lecture notes in computer science, 10 LNCS, page (259-287)
Publication Publié, 1974
Article révisé par les pairs
| Résumé : | In this paper, authors present a formulation and some computational details dealing with a general elastic/visco-plastic material where nonlinear elasticity is admissible and the flow rule and yield condition need not be associated. If, in a visco-plastic solution method, stationary conditions are reached for the displacements, the solution to an equivalent plasticity problem is obtained. The visco-plastic approach thus provides an alternative technique to solve elasto-plastic problems, and which is found to possess considerable merits vis à vis other iterative processes. In particular, non-associated flow rules and strain softening can be dealt with in a general purpose program without requiring specific numerical artifices. Further, by providing always an equilibrating solution (within the approximations of the finite element discretisation) and, at displacements stationarity, ensuring a plastically admissible stress distribution, results always give a lower bound to collapse. The paper includes several examples to illustrate the application of the method to some problems of practical interest. |
