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On rotational hardening in soil elastic-plasticity.

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Title: On rotational hardening in soil elastic-plasticity.
Authors: Mortara, Giuseppe1 (AUTHOR) giuseppe.mortara@unirc.it, di Prisco, Claudio2 (AUTHOR) claudio.diprisco@polimi.it
Source: Acta Geotechnica. Jan2025, Vol. 20 Issue 1, p197-210. 14p.
Subjects: Yield surfaces, Strain hardening, Surface potential, Rotational motion, Anisotropy
Abstract: In this paper, a new approach for rotational hardening in elastic-plasticity is formulated. After discussing the standard yield criteria employed for geomaterials and the rotational hardening models proposed in the past, the authors introduce the concept of pure rotational hardening, that is a rigid rotation of the yield surface not implying any distortion of it. In the second part of the paper, a new approach for rotational hardening, based on Householder transformations, is proposed. The method, that allows to reflect vectors with respect to a given hyper-plane, is briefly described since not usually employed in geomechanics. Moreover, the authors clarify that any yield surface or plastic potential rotation, not being a rolling, is a transformation keeping unaltered first and second invariants, but not the third. As a consequence, when rotational hardening is introduced, the use of the third mixed invariant, for defining in the deviatoric plane the yield surface shape, is not appropriate. Finally, the application of the proposed approach in the formulation of anisotropic elastic–plastic strain hardening constitutive models is briefly discussed for the classes of uncoupled and hybrid yield criteria that include a dependence of the yield surface on Lode angle. [ABSTRACT FROM AUTHOR]
Copyright of Acta Geotechnica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On rotational hardening in soil elastic-plasticity.
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  Data: <searchLink fieldCode="JN" term="%22Acta+Geotechnica%22">Acta Geotechnica</searchLink>. Jan2025, Vol. 20 Issue 1, p197-210. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Yield+surfaces%22">Yield surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Strain+hardening%22">Strain hardening</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+potential%22">Surface potential</searchLink><br /><searchLink fieldCode="DE" term="%22Rotational+motion%22">Rotational motion</searchLink><br /><searchLink fieldCode="DE" term="%22Anisotropy%22">Anisotropy</searchLink>
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  Data: In this paper, a new approach for rotational hardening in elastic-plasticity is formulated. After discussing the standard yield criteria employed for geomaterials and the rotational hardening models proposed in the past, the authors introduce the concept of pure rotational hardening, that is a rigid rotation of the yield surface not implying any distortion of it. In the second part of the paper, a new approach for rotational hardening, based on Householder transformations, is proposed. The method, that allows to reflect vectors with respect to a given hyper-plane, is briefly described since not usually employed in geomechanics. Moreover, the authors clarify that any yield surface or plastic potential rotation, not being a rolling, is a transformation keeping unaltered first and second invariants, but not the third. As a consequence, when rotational hardening is introduced, the use of the third mixed invariant, for defining in the deviatoric plane the yield surface shape, is not appropriate. Finally, the application of the proposed approach in the formulation of anisotropic elastic–plastic strain hardening constitutive models is briefly discussed for the classes of uncoupled and hybrid yield criteria that include a dependence of the yield surface on Lode angle. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Acta Geotechnica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11440-024-02458-x
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 14
        StartPage: 197
    Subjects:
      – SubjectFull: Yield surfaces
        Type: general
      – SubjectFull: Strain hardening
        Type: general
      – SubjectFull: Surface potential
        Type: general
      – SubjectFull: Rotational motion
        Type: general
      – SubjectFull: Anisotropy
        Type: general
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      – TitleFull: On rotational hardening in soil elastic-plasticity.
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            NameFull: di Prisco, Claudio
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              M: 01
              Text: Jan2025
              Type: published
              Y: 2025
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