Distribution of Tensile Stress under Modified Boundary Condition in Theoretical Solution for the Diametrical Compression Test

"During the diametrical compression test, the tensile stress generated near the loading plate is influenced by the contact area between the loading plates and specimen. However, very few studies have determined the contact area. Theoretical or analytical models have shown that for an orthotropic material (i.e., with material properties that differ along each of three mutually orthogonal twofold axes), the maximum tensile stress is generated at the center of disk when the angle of the principal material direction to the loading direction is close to ?/4. The maximum value is almost constant, regardless of the contact area. Conversely, the maximum tensile stress is generated near the loading plate when the angle between the principal material direction and loading direction is small. The maximum value decreases as the contact area increases. Therefore, in the latter case, the influence of the contact area on tensile strength measurement of is significant.In previous studies, the distribution of stresses applied on the loading plate is assumed to be a uniform load. In reality, the applied stress is highest at the center of loading plate and seems to decrease with distance from center. The applied load disappears at the edge of loading plates. In this study, in order to satisfy this boundary condition on the loading plate, the cosine curve is adopted as the distribution of load applied on the loading plates in a theoretical model of the diametrical compression test. Furthermore, the elastic solution using boundary conditions shown in this study is used to obtain the tensile stress distributions on the loading axis for an orthotropic circular plane. These distributions are compared with empirical results obtained under uniform loading with a loading plate or concentrated loading in previous studies."