Plasticity Solutions for Concrete Splitting Tests

Stress distribution and relevant formula for computing the tensile strength of a split-concrete or rock cylinder were derived on the basis of the linear elasticity theory. Three types of analysis are considered: (1)Limit analysis; (2)slip-line theory; and (3)finite element analysis of work-hardening material. In the finite element analysis, three types of plasticity models are used: (1)von Mises isotropic work-hardening model; (2)Drucker-Prager isotropic hardening model; and (3)concrete plasticity model. Each type of analysis corresponds to a somewhat different stress-strain idealization. It is demonstrated here that analyses 2 and 3 give tensile stress distribution similar to that of linear elasticity theory. The relevant formula for computing the tensile strength of various split tests obtained by different plasticity analyses are found to be similar to that of the elasticity solution. The equation derived on the basis of elasticity theory is sufficiently accurate for estimating the maximum tensile strength of nonlinear fracture materials.