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Computational Plasticity pp 13–36Cite as

Towards a Model for Large Strain Anisotropic Elasto-Plasticity

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 7))

Summary

The modeling of large strain anisotropic elasto-plasticity requires that the elastic response can be anisotropic, the yielding is governed by anisotropic yield functions, the hardening is anisotropic and the principal anisotropic elastic and yield directions can align themselves to more favorable stress directions during the response. For general finite element analysis, the model also needs to be macroscopically-based and computationally effective. We have worked towards such a model based on using the decomposition of the deformation gradient into elastic and plastic parts, logarithmic strains, exponential mapping and the plastic spin as an internal variable. The objective of this presentation is to give basic theoretical considerations and a computational framework for this anisotropic elasto-plasticity model. We also present some numerical results.

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Authors and Affiliations

  1. Universidad de Castilla-La Mancha. E.T.S. de Ingenieros Industriales C/ Camilo José Cela s/n, Ciudad Real, 13071, Spain

    F. J. Montáns

  2. Dept. of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, USA

    K. J. Bathe

Authors
  1. F. J. Montáns
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  2. K. J. Bathe
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Correspondence to F. J. Montáns .

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Editors and Affiliations

  1. Universitat Politècnica de Catalunya, Barcelona, Spain

    Eugenio Oñate

  2. University of Wales, Swansea, UK

    Roger Owen

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Montáns, F.J., Bathe, K.J. (2007). Towards a Model for Large Strain Anisotropic Elasto-Plasticity. In: Oñate, E., Owen, R. (eds) Computational Plasticity. Computational Methods in Applied Sciences, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6577-4_2

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  • DOI: https://doi.org/10.1007/978-1-4020-6577-4_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6576-7

  • Online ISBN: 978-1-4020-6577-4

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