Numerical integration algorithm of a new model for metal plasticity and fractura including pressure and lode angle dependence

• Type: Article in International Scientific Journal
• Date: 2009

Authors

L. Malcher (Author) Other; F. M. Andrade Pires (Author) FEUP; J. M. A. César de Sá (Author) FEUP; F. X. C. Andrade (Author) Other

Journal

Title: International Journal of Material Forming

Vol. 2 No. 1

Pages: 443-446

ISSN: 1960-6206

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 4 Citations

ISI Web of Science

Scopus - 6 Citations

INSPEC

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

CORDIS: Technological sciences > Engineering > Materials engineering

Other information

Authenticus ID: P-003-H33

DOI: 10.1007/s12289-009-0525-6

Abstract (EN): This paper describes an efficient numerical integration algorithm of a new model for metal plasticity and fracture [2]. The constitutive equations of the material model critically include both the effect of pressure through the triaxiality ratio and the effect of third deviatoric stress invariant through the lode angle in the description of material. The necessary steps required to implement the model within an implicit quasi-static finite element environment are discussed. In particular, the stress update procedure, which is based on the so-called operator split concept resulting in the standard elastic predictor/return mapping algorithm, and the computation of tangent matrix consistent with the stress update are described. Finally, the convergence for large increments is illustrated and iso-error maps are used to analyse the accuracy and stability of the integration algorithm. The simulation of a cylindrical notched bar specimen subjected to tension [1] is presented to illustrate the robustness of the proposed algorithm.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4