Abstract
The results of an extensive series of tests of three types of concrete
under biaxial loadings are used to develop stress-strain relations
for concrete subjected to biaxial stress states. By means of a decomposition
of the stresses and strains into their hydrostatic and deviatoric
portions, it was possible to express the relations between octahedral
normal stresses and strains, and octahedral shear stresses and strain
through use of bulk and shear moduli. These moduli can be expressed
as functions of the octahedral shear stress only; formulas and coefficients
are given for the values of the tangent and secant, bulk and shear
moduli for the three types of concrete. The deformational behavior
is described as the material reaches its failure stage. The application
of these nonlinear stress-strain relations to stress analysis is
indicated; a material stiffness matrix for use in finite element
analysis is presented, and a partial differential equation with variable
coefficients for analysis of plane-stress problems is shown.
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