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Extreme Yield Figures for Universal Strength Criteria

: Rosendahl, P.L.; Kolupaev, Vladimir A.; Altenbach, Holm


Altenbach, H.:
State of the art and future trends in material modeling
Cham: Springer Nature, 2019 (Advanced structured materials 100)
ISBN: 978-3-030-30354-9 (Print)
ISBN: 978-3-030-30355-6 (Online)
Book Article
Fraunhofer LBF ()
equivalent stress; multi-axial loading; isogonal hexagon; isotoxal hexagon; deviatoric plane; concrete

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.