Mechanical properties of human enamel under compression: On the feature of calculations

The paper is aimed at determination of the causes of shape effect in human tooth enamel under compression and correction of the relevant mechanical characteristics. For this purpose, six groups of samples with different ratios of the compression surface diagonal to the sample height, which consisted of 10 cuboid samples in each, were prepared from the backside of human enamel. The lateral deformation of a sample was calculated at the maximum compressive stress for correction of the mechanical characteristics. It is shown that the ratio between the lateral and axial deformations decreases with an increase in the ratio of the compression surface diagonal to the sample height. This is caused by the friction between the compression plates and the working surfaces of the enamel sample when the lateral deformation is suppressed. In addition, the slope of enamel sample by about 15° occurred during compression due to the inclination of rigid and low deformable enamel rods. The corrections of the elastic modulus and the compression strength taking into account the lateral deformation and the sample slope are carried out. The mechanical properties of enamel samples with the 2.1 aspect ratio are closer to the intrinsic properties of human enamel samples. The elastic modulus and the compression strength of human enamel under compression are 5.64 GPa and 363 MPa, respectively. The lateral deformation (~10%) may be considered as the critical parameter that indicates the strength of human enamel.