Shape of Hypersurface of Concrete under Multiaxial Loading


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Title: Shape of Hypersurface of Concrete under Multiaxial Loading

Author(s): Robert Ritter and Manfred Curbach

Publication: Materials Journal

Volume: 113

Issue: 1

Appears on pages(s): 55-65

Keywords: biaxial load; compression-compression-compression load; failure surface; hypersurface; multiaxial behavior; multiaxial load; multiaxial strength; tension-compression-compression load

Date: 1/1/2016

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 modifications 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.