On the Modeling of Evolving Elastic and Plastic Anisotropy in the Finite Strain Regime – Application to Deep Drawing Processes

Ivaylo N. Vladimirov; Michael P. Pietryga; Vivian Tini; Stefanie Reese

doi:10.4028/www.scientific.net/KEM.504-506.679

Paper Titles

Texture Based Finite Element Simulation of a Two-Step Can Forming Process
p.655

Evaluation of Associated and Non-Associated Flow Metal Plasticity; Application for DC06 Deep Drawing Steel
p.661

Unconditionally Convex Yield Functions for Sheet Metal Forming Based on Linear Stress Deviator Transformation
p.667

Compartmentalized Model for the Mechanical Behavior of Titanium
p.673

On the Modeling of Evolving Elastic and Plastic Anisotropy in the Finite Strain Regime – Application to Deep Drawing Processes
p.679

Assessment of Distinct Algorithmic Strategies in the Implementation of Complex Anisotropic Yield Criteria
p.685

Implementation and Validation of a Gurson Damage Model Modified for Shear Loading: Effect of Void Growth Rate and Mesh Size on the Predicted Behavior
p.691

Constitutive Equation for Description of Metallic Materials Behavior during Static and Dynamic Loadings Taking into Account Important Gradients of Plastic Deformation
p.697

Identification of the Plastic Behaviour in the Post-Necking Regime Using a Three Dimensional Reconstruction Technique
p.703

HomeKey Engineering MaterialsKey Engineering Materials Vols. 504-506On the Modeling of Evolving Elastic and Plastic...

On the Modeling of Evolving Elastic and Plastic Anisotropy in the Finite Strain Regime – Application to Deep Drawing Processes

Abstract:

In this work, we discuss a finite strain material model for evolving elastic and plastic anisotropy combining nonlinear isotropic and kinematic hardening. The evolution of elastic anisotropy is described by representing the Helmholtz free energy as a function of a family of evolving structure tensors. In addition, plastic anisotropy is modelled via the dependence of the yield surface on the same family of structure tensors. Exploiting the dissipation inequality leads to the interesting result that all tensor-valued internal variables are symmetric. Thus, the integration of the evolution equations can be efficiently performed by means of an algorithm that automatically retains the symmetry of the internal variables in every time step. The material model has been implemented as a user material subroutine UMAT into the commercial finite element software ABAQUS/Standard and has been used for the simulation of the phenomenon of earing during cylindrical deep drawing.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Key Engineering Materials (Volumes 504-506)

Pages:

679-684

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.504-506.679

Citation:

Cite this paper

Online since:

February 2012

Authors:

Ivaylo N. Vladimirov, Michael P. Pietryga, Vivian Tini, Stefanie Reese

Keywords:

Deep Drawing, Earing, Evolving Anisotropy, Finite Element, Materials Modelling, Structure Tensors

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] I. N. Vladimirov, M. P. Pietryga, S. Reese, Anisotropic finite elastoplasticity with nonlinear kinematic and isotropic hardening and application to sheet metal forming, International Journal of Plasticity 26 (2010) 659-687.

DOI: 10.1016/j.ijplas.2009.09.008

Google Scholar

[2] I. N. Vladimirov, M. P. Pietryga, S. Reese, On the modelling of nonlinear kinematic hardening at finite strains with application to springback – Comparison of time integration algorithms, International Journal for Numerical Methods in Engineering 75 (2008) 1-28.

DOI: 10.1002/nme.2234

Google Scholar

[3] R. Hill, A theory of the yielding and plastic flow of metals, Proceedings of the Royal Society of London A193 (1948) 281-297.

Google Scholar

[4] S. Reese, Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation, International Journal of Solids and Structures 40 (2003) 951-980.

DOI: 10.1016/s0020-7683(02)00602-9

Google Scholar

[5] C. Miehe, N. Apel, M. Lambrecht, Anisotropic additive plasticity in the logarithmic strain space: modular kinematic formulation and implementation based on incremental minimization principles for standard materials, Computer Methods in Applied Mechanics and Engineering 191 (2002) 5383-5425.

DOI: 10.1016/s0045-7825(02)00438-3

Google Scholar

[6] I. N. Vladimirov, M. P. Pietryga, S. Reese, Prediction of springback in sheet forming by a new finite strain model with nonlinear kinematic and isotropic hardening, Journal of Materials Processing Technology 209 (2009) 4062-4075.

DOI: 10.1016/j.jmatprotec.2008.09.027

Google Scholar

[7] J.W. Yoon, F. Barlat, R.E. Dick, K. Chung, T.J. Kang, Plane srtress yield function for aluminum alloy sheet: Part II: FE formulation and its implementation, International Journal of Plasticity 20 (2004) 495-522.

DOI: 10.1016/s0749-6419(03)00099-8

Google Scholar