Elasto‐plasticity revisited: numerical analysis via reproducing kernel particle method and parametric quadratic programming

Abstract

Abstract Aiming to simplify the solution process of elasto‐plastic problems, this paper proposes a reproducing kernel particle algorithm based on principles of parametric quadratic programming for elasto‐plasticity. The parametric quadratic programming theory is useful and effective for the assessment of certain features of structural elasto‐plastic behaviour and can also be exploited for numerical iteration. Examples are presented to illustrate the essential aspects of the behaviour of the model proposed and the flexibility of the coupled parametric quadratic programming formulations with the reproducing kernel particle method. Copyright © 2002 John Wiley & Sons, Ltd.