Summary
The paper proposes two new elastoplastic constitutive models for the description of deformation mechanisms of frictional materials which are suitable for a wide range of applications in soil mechanics. The first model provides an extension of the classical Drucker-Prager-type function in order to overcome numerical difficulties in the tensile stress range. The key idea here is the introduction of a constantperturbation-type parameter which yields aC 2-differentiable smoothing-out of the peak of the Drucker-Prager cone. We then extend this formulation to a closed single-surface model based on a decoupled description of the deviatoric and the mean stress response. Both models are equipped with a saturation-type hardening mechanism. They have proved to be very robust and successful in numerical implementations.
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Lambrecht, M., Miehe, C. Two non-associated isotropic elastoplastic hardening models for frictional materials. Acta Mechanica 135, 73–90 (1999). https://doi.org/10.1007/BF01179047
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DOI: https://doi.org/10.1007/BF01179047