Finite-element formulation of some extremum theorems of incremental plasticity

✍ Scribed by Leone Corradi

• Book ID: 103068689
• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 747 KB
• Volume: 21
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(85)90088-8

✦ Synopsis

Finite-element formulations of the incremental elastic-plastic problem are obtained on the basis of two extremum theorems, each involving two independent variable fields. With respect to classical extremum principles of flow plasticity, the theorems considered provide the advantage of requiring only linear (equality or inequality) constraints on the independent variables, so that no particular difficulties arise when setting finite-element approximations rigorously complying with these constraints. Quadratic programming formulations for the incremental elastic-plastic problem are obtained in this way, providing the solution as the minimum of a quadratic function of linearly constrained variables. The possibility of exploiting the formulations proposed in order to reach a better understanding of the behavior of existing finiteelement elasatic-plastic analysis procedures is briefly explored.