In this communication we propose a new exponential-based integration algorithm for associative von-Mises plasticity with linear isotropic and kinematic hardening, which follows the ones presented by the authors in previous papers. In the first part of the work we develop a theoretical analysis on the numerical properties of the developed exponential-based schemes and, in particular, we address the yield consistency, exactness under proportional loading, accuracy and stability of the methods. In the second part of the contribution, we show a detailed numerical comparison between the new exponential-based method and two classical radial return map methods, based on backward Euler and midpoint integration rules, respectively. The developed tests include pointwise stress-strain loading histories, iso-error maps and global boundary value problems. The theoretical and numerical results reveal the optimal properties of the proposed scheme.
|Titolo:||A novel ``optimal'' exponential-based integration algorithm for von-Mises plasticity with linear hardening: theoretical analysis on yield consistency, accuracy and convergence and numerical investigations|
|Autori interni:||BEIRAO DA VEIGA, LOURENCO (Secondo)|
|Parole Chiave:||Exact integration; Exponential integration algorithm; Integration factor; Plasticity; Return map|
|Settore Scientifico Disciplinare:||Settore MAT/08 - Analisi Numerica|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||10.1002/nme.1637|
|Appare nelle tipologie:||01 - Articolo su periodico|