Accelerating constitutive modeling by automatic tangent generation

Steffen Rothe,

Corresponding Author

Steffen Rothe

[email protected]

Institute of Applied Mechanics, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, Germany

phone +49 5323 72 3864, fax +49 5323 72 993864Search for more papers by this author

Stefan Hartmann,

Stefan Hartmann

Institute of Applied Mechanics, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, Germany

Search for more papers by this author

Steffen Rothe,

Corresponding Author

Steffen Rothe

[email protected]

Institute of Applied Mechanics, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, Germany

phone +49 5323 72 3864, fax +49 5323 72 993864Search for more papers by this author

Stefan Hartmann,

Stefan Hartmann

Institute of Applied Mechanics, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, Germany

Search for more papers by this author

First published: 03 December 2012

https://doi.org/10.1002/pamm.201210146

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Abstract

Within the framework of finite elements the linearization within a Newton-like method requires the computation of the so-called consistent tangent operator. There are several possibilities to get these derivatives. Three methods, namely analytical, numerical and automatic differentiation, for tangent generation will be analyzed concerning the simulation time and applicability for three different constitutive models. These models are a finite strain hyperelasticity model, finite strain viscoplasticity model for metal powders and a small strain thermoviscoplasticity model. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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