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Extreme Yield Figures for Universal Strength Criteria

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State of the Art and Future Trends in Material Modeling

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 100))

Abstract

We propose a universal, generally applicable yield criterion that describes a single convex surface in principal stress space encompassing extreme yield figures as convexity limits. The novel criterion is derived phenomenologically exploiting geometrical properties of yield surfaces in principal stress space. It is systematically compared with known yield criteria using different forms of visualization. Using a I1 - substitution the criterion is applicable to materials with pressure-sensitive behavior and contains well-known strength criteria. Introducing appropriate parameter restrictions, it can be applied for the modeling of ductile and brittle material behavior. The implementation of the present criterion eliminates the necessity of choosing a specific yield criterion for a particular material. The proposed criterion allows for excellent approximation of experimental data. It is applied to measured data of concrete and provides better accuracy than existing criteria from literature.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Technische Universität Darmstadt, Darmstadt, Germany

    Philipp L. Rosendahl

  2. Fraunhofer Institute for Structural Durability and System Reliability (LBF), Schloßgartenstr. 6, D-64289, Darmstadt, Germany

    Vladimir A. Kolupaev

  3. Otto-von-Guericke-Universität Magdeburg, Institut für Mechanik (IFME), Universitätsplatz 2, D-39106, Magdeburg, Germany

    Holm Altenbach

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  1. Philipp L. Rosendahl
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  2. Vladimir A. Kolupaev
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  3. Holm Altenbach
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Correspondence to Vladimir A. Kolupaev .

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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen, Germany

    Andreas Öchsner

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Rosendahl, P.L., Kolupaev, V.A., Altenbach, H. (2019). Extreme Yield Figures for Universal Strength Criteria. In: Altenbach, H., Öchsner, A. (eds) State of the Art and Future Trends in Material Modeling . Advanced Structured Materials, vol 100. Springer, Cham. https://doi.org/10.1007/978-3-030-30355-6_12

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