Accurate integration scheme for von‐Mises plasticity with mixed‐hardening based on exponential maps

2007 ◽  
Vol 24 (6) ◽  
pp. 608-635 ◽  
Author(s):  
M. Rezaiee‐Pajand ◽  
Cyrus Nasirai
Keyword(s):  
Integration Scheme ◽  
Mixed Hardening ◽  
Exponential Maps ◽  
Mises Plasticity ◽  
Von Mises ◽  
Von Mises Plasticity

A General Orthotropic von Mises Plasticity Material Model With Mixed Hardening: Model Definition and Implicit Stress Integration Procedure

1996 ◽  
Vol 63 (2) ◽  
pp. 376-382 ◽  
Author(s):  
M. Kojic´ ◽  
N. Grujovic´ ◽  
R. Slavkovic´ ◽  
M. Zˇivkovic´
Keyword(s):  
Equivalent Stress ◽  
Parameter Method ◽  
Plasticity Model ◽  
Integration Procedure ◽  
Mixed Hardening ◽  
Tangent Moduli ◽  
Stress Integration ◽  
Mises Plasticity ◽  
Von Mises ◽  
Von Mises Plasticity

A general orthotropic von Mises plasticity model, with an extension of the Hill’s yield criterion to include mixed hardening, is introduced in the paper. Material constants and equivalent stress-equivalent plastic strain curves are defined in a way to suggest their experimental determination. The model represents a special case of a general anisotropic metal plasticity model proposed by the authors. An implicit stress integration procedure, representing an application of the governing parameter method (GPM) introduced by the first author, is presented. The GPM is briefly described, and the computational procedure, together with calculation of the consistent tangent moduli, are given in some detail for a general three-dimensional deformation, with direction of application to plane stress/shell conditions. Numerical examples illustrate applicability of the model and effectiveness of the computational algorithm.

Effect of Triaxiality and Lode Angle on the Plasticity Behaviour of a Ti-6Al-4V Titanium Alloy

2013 ◽  
Vol 577-578 ◽  
pp. 413-416
Author(s):  
Andrea Gilioli ◽  
Andrea Manes ◽  
Marco Giglio ◽  
Nima Allahverdizadeh
Keyword(s):  
Titanium Alloy ◽  
Tensile Tests ◽  
Constitutive Law ◽  
Plasticity Model ◽  
Virtual Test ◽  
Test Methodology ◽  
Lode Angle ◽  
Mises Plasticity ◽  
Von Mises ◽  
Von Mises Plasticity

The widespread Von Mises plasticity model fails to take the hydrostatic and the Lode angle effects into account and the assumption of this model is not valid for all types of metallic alloys. Hence in the present work the applicability of the Von Mises plasticity model in applications on a Ti-6Al-4V Titanium alloy have been analysed. A virtual test methodology, combination of experiments and numerical analysis have been developed. For this purpose various tensile tests on different specimen shapes have been carried out experimentally. These tests have been subsequently numerically reproduced to calibrate a constitutive law which fits every single test best, highlighting the possible effect of triaxiality and Lode angle on plasticity (strain hardening behaviour). An analysis of the specimen fracture surfaces have been carried out to evaluate possible effect of triaxiality and Lode angle down to a microscopic level.

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