Constitutive Relations of Concrete under Plane Stresses Based on Generalized Octahedral Theory
Continuous (or generalized) octahedral element bodies can be obtained by intercepting a cube with three groups of failure (or yield) planes successively under true triaxial stress state, on which the stresses are twin stresses. Among the resulting polyhedral characteristic element bodies, isoclinal octahedron and orthogonal octahedron are of particular importance. Strength models of continuous octahedrons are then derived by stress analysis to arbitrary inclined sections in three dimensional stress space, and strain models by the principle of strain analysis, so the plane constitutive relations of concrete can be understood by plane problems transformed by stress-strain space according to the symmetry of an orthogonal octahedral octahedron where an arbitrary oblique plane is parallel to one of three rectangular coordinate axes.
Dongye Sun, Wen-Pei Sung and Ran Chen
J. H. Yang et al., "Constitutive Relations of Concrete under Plane Stresses Based on Generalized Octahedral Theory", Applied Mechanics and Materials, Vols. 71-78, pp. 342-352, 2011