On the exploitation of Armstrong-Frederik type nonlinear kinematic hardening in the numerical integration and finite-element implementation of pressure dependent plasticity models

  • In this paper, an unconditionally stable algorithm for the numerical integration and finite-element implementation of a class of pressure dependent plasticity models with nonlinear isotropic and kinematic hardening is presented. Existing algorithms are improved in the sense that the number of equations to be solved iteratively is significantly reduced. This is achieved by exploitation of theIn this paper, an unconditionally stable algorithm for the numerical integration and finite-element implementation of a class of pressure dependent plasticity models with nonlinear isotropic and kinematic hardening is presented. Existing algorithms are improved in the sense that the number of equations to be solved iteratively is significantly reduced. This is achieved by exploitation of the structure of Armstrong-Frederik-type kinematic hardening laws. The consistent material tangent is derived analytically and compared to the numerically computed tangent in order to validate the implementation. The performance of the new algorithm is compared to an existing one that does not consider the possibility of reducing the number of unknowns to be iterated. The algorithm is used to implement a time and temperature dependent cast iron plasticity model, which is based on the pressure dependent Gurson model, in the finite-element program ABAQUS. The implementation is applied to compute stresses and strains in a large-scale finite-element model of a three cylinder engine block. This computation proofs the applicability of the algorithm in industrial practice that is of interest in applied sciences.show moreshow less

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Mario Metzger, Thomas Seifert
Publisher:Springer
Place of publication:Berlin und Heidelberg
Year of Publication:2013
Date of first Publication:2013/01/05
Language:English
GND Keyword:Druck; Finite-Elemente-Methode; Kinematik; Plastizität
Parent Title (English):Computational Mechanics
Volume:52
Issue:3
ISSN:0178-7675
First Page:515
Last Page:524
Document Type:Article (reviewed)
Institutes:Hochschule Offenburg / Bibliografie
Acces Right:Zugriffsbeschränkt
Release Date:2018/12/20
Licence (German):License LogoEs gilt das UrhG
DOI:https://doi.org/10.1007/s00466-012-0828-1