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Accelerating constitutive modeling by automatic tangent generation

  1. Steffen Rothe*,
  2. Stefan Hartmann

Article first published online: 3 DEC 2012

DOI: 10.1002/pamm.201210146

Issue

PAMM

PAMM

Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt 2012; Editors: H.-D. Alber, N. Kraynyukova and C. Tropea

Volume 12, Issue 1, pages 313–314, December 2012

Additional Information

How to Cite

Rothe, S. and Hartmann, S. (2012), Accelerating constitutive modeling by automatic tangent generation. Proc. Appl. Math. Mech., 12: 313–314. doi: 10.1002/pamm.201210146

Author Information

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

*phone +49 5323 72 3864, fax +49 5323 72 993864

Publication History

  1. Issue published online: 3 DEC 2012
  2. Article first published online: 3 DEC 2012

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References

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    A. Griewank and A. Walther, Evaluating derivatives: principles and techniques of algorithmic differentiation, SIAM, 2008
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    U. Naumann The Art of Differentiating Computer Programs, SIAM, 2012
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    J. Utke, U. Naumann et al. OpenAD/F: A Modular, Open-Source Tool for Automatic Differentiation of Fortran Codes ACM Transactions on Mathematical Software 34(4) 18:1-18:36 (2008)
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    S. Hartmann and P. Neff Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility, International Journal of Solids and Structures 40(11), 2767–2791 (2003).
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    W. Bier and S. Hartmann A finite strain constitutive model for metal powder compaction using a unique and convex single surface yield function EJMA 25, 1009–1030 (2006)
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    A. Lion Constitutive modelling in finite thermoviscoplasticity: a physical approach based on nonlinear rheological models International Journal of Plasticity 16, 469–494 (2000)
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    S. Rothe, A.W. Hamkar, K. Quint and S. Hartmann Comparison of diagonal-implicit, linear-implicit and half-explicit Runge-Kutta methods in non-linear finite element analyses Archive of Applied Mechanics, Springer Berlin / Heidelberg, 1–18 (2012)
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    S. Hartmann A remark on the application of the Newton-Raphson method in non-linear finite element analysis, Computational Mechanics 36(2), 100–116 (2005).
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