Return mapping scheme for the Hoek-Brown model with tension cut-off

Authors

  • Tereza Žalská Czech Technical University in Prague, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech Republic
  • Michal Šejnoha Czech Technical University in Prague, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech Republic

DOI:

https://doi.org/10.14311/APP.2023.40.0117

Keywords:

Hoek-Brown criterion, Rankine criterion, nonlinear yield function, rock mechanics, finite element method, tension cut-off

Abstract

The present paper revisits a stress update procedure for the Hoek-Brown plasticity model enhanced by a Rankine type of tension cut-off failure criterion. Limiting tensile stresses not only supports the behavior of weak rock masses with a very low tensile strength but in combination with the original Hoek-Brown model improves robustness of the stress update procedure, i.e. the stress return mapping algorithm. Herein, the primary focus is on the stress return from a space of inadmissible trial stresses for which neither the Hoek-Brown yield surface nor its derivative can be evaluated. All potential scenarios are thoroughly discussed both in the framework of single- and multi-surface plasticity. The presented procedures were implemented and verified with the help of the Geo5 FEM software.

Downloads

Download data is not yet available.

Downloads

Published

2023-07-24

How to Cite

Return mapping scheme for the Hoek-Brown model with tension cut-off. (2023). Acta Polytechnica CTU Proceedings, 40, 117-122. https://doi.org/10.14311/APP.2023.40.0117