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On the efficiency and accuracy of stress integration algorithms for constitutive models based on non-associated flow rule

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Abstract

Constitutive models based on non-associated flow rule enable the accurate description of complex anisotropy phenomena by using distinct, but relatively simple, mathematical description for yield function and plastic potential. The computational complexity of stress integration procedure may thus be significantly reduced. The amount by which this advantage is reflected to the total computation time is, however, a function of the nonlinearity of the problem at hand. The present work aims to make a systematic comparison of two different stress integration algorithms, used in conjunction to non-associated flow rule. A fully explicit and semi-implicit integration scheme are analyzed in terms of accuracy and speed. The implemented yield model is Yld2000-2d with isotropic hardening. The validity of the stress-integration approaches is assessed based on the ability to reproduce stress-ratios, r-values and tensile test results. Additionally, measured earing profiles in cup drawing experiments are compared. The fully explicit implementation shows significant advantages in terms of speed.

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Authors and Affiliations

  1. ETH Zurich, Institute of Virtual Manufacturing, Tannenstrasse 3, 8092, Zurich, Switzerland

    Holger Hippke, Niko Manopulo & Pavel Hora

  2. Faculty of Science, Engineering and Built Environment, Deakin University, Waurn Ponds, VIC 3220, Australia

    Jeong Whan Yoon

  3. Department of Mechanical Engineering, KAIST, Daejeon, 305-701, Korea

    Jeong Whan Yoon

Authors
  1. Holger Hippke
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  2. Niko Manopulo
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  3. Jeong Whan Yoon
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  4. Pavel Hora
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Correspondence to Niko Manopulo.

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Hippke, H., Manopulo, N., Yoon, J.W. et al. On the efficiency and accuracy of stress integration algorithms for constitutive models based on non-associated flow rule. Int J Mater Form 11, 239–246 (2018). https://doi.org/10.1007/s12289-017-1347-6

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  • DOI: https://doi.org/10.1007/s12289-017-1347-6

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