Shape of Hypersurface of Concrete under Multiaxial Loading

Research output: Contribution to journalResearch articleContributedpeer-review


  • Robert Ritter - , TUD Dresden University of Technology (Author)
  • Manfred Curbach - , TUD Dresden University of Technology (Author)


Multiaxial stress states have a significant influence on the understanding of the strength of concrete. General information about the shape of the hypersurface of multiaxial strength exists and there is a range of models that depict these well-known boundaries.

In this study, a new model is presented that is formulated in a rotated principle direction coordinate system. The basic approach of the model satisfies the known boundaries and by modification of the approach, a more complex shape of hypersurface results. The modifications are made in such a way that by fitting the arbitrary parameters, the basic form of the model can be obtained. Based on a dataset of multiaxial strength values of an ultra-high-strength concrete, different modification of the model are investigated and discussed concerning prediction accuracy. As a result, the best approximation of the used dataset is obtained in the shape of a hypersurface, which points in the direction of hydrostatic tension strength non-convex sections.


Original languageEnglish
Pages (from-to)55-65
Number of pages11
Journal ACI materials journal : a journal of the American Concrete Institute
Issue number1
Publication statusPublished - 2016
Externally publishedYes

External IDs

Scopus 84958051927
ORCID /0000-0002-1596-7164/work/142255550



  • biaxial load, compression-compression-compression load, failure surface, hypersurface, multiaxial behavior, multiaxial load, multiaxial strength, tension-compression-compression load, HIGH-STRENGTH CONCRETE, COMPRESSIVE STRENGTH, BEHAVIOR, TENSION