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A Methodology for Formulating Large Strain Viscoplastic Constitutive Equations with Application to Simple Shear

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Finite Inelastic Deformations — Theory and Applications

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Summary

In this paper, a methodology for the formulation of large strain constitutive equations for rate dependent solids is developed. An attempt is made to obtain a consistent frame which allows the use of different unified constitutive models and which can also be used to extend models formulated for small strains to finite deformations. For a particular inelastic constitutive model, different elastic constitutive equations are compared for the case of simple shear. In addition, the simplification of the inelastic constitutive equations based on the assumption of small elastic strains is investigated.

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Author information

Authors and Affiliations

  1. Technische Hochschule Darmstadt, Fachgebiet Maschinenelemente und Maschinenakustik, Deutschland

    H.-P. Hackenberg & F. G. Kollmann

Authors
  1. H.-P. Hackenberg
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  2. F. G. Kollmann
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Editor information

Editors and Affiliations

  1. Institut für Mechanik, Appelstraße 11, D-3000, Hannover 1, Germany

    Dieter Besdo (co-chairman) (co-chairman)

  2. Institut für Baumechanik und Numerische Mechanik, Appelstraße 9A, D-3000, Hannover 1, Germany

    Erwin Stein (co-chairman) (co-chairman)

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© 1992 Springer-Verlag Berlin Heidelberg

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Hackenberg, HP., Kollmann, F.G. (1992). A Methodology for Formulating Large Strain Viscoplastic Constitutive Equations with Application to Simple Shear. In: Besdo, D., Stein, E. (eds) Finite Inelastic Deformations — Theory and Applications. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84833-9_8

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  • DOI: https://doi.org/10.1007/978-3-642-84833-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84835-3

  • Online ISBN: 978-3-642-84833-9

  • eBook Packages: Springer Book Archive

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