THE INFLUENCE OF APPLIED STRESS ON LATE PALEOZOIC-TRIASSIC TEMNOSPONDYL AMPHIBIAN TOOTH SHAPE
We used beam theory to develop strength profiles of the study teeth, which were then compared to their bending moment and shear stress profiles. This analysis showed that the teeth were best adapted to labiolingual loading and that their strength varied as a cubic parabola, increasing from tip to base. The labial aspect of each tooth approximates a triangle. When such a tooth penetrates a prey item and is loaded in the labiolingual direction its triangular shape produces a uniformly varying load increasing from tip to base along the tooth length, which results in a cubic-parabola bending-moment profile. While no correlation is seen between tooth strength and shear stress, the bending moment stress profiles and tooth strength profiles are identical. Thus, we hypothesize that tooth shape has evolved to resist the applied bending moment while maintaining good penetration and crack propagation in hard parts of the prey items.
A tooth may suffer catastrophic breakage due to impact on a hard object. Such an event produces a linear bending-moment profile while the observed cubic-parabola bending-moment profile is produced during normal use. Therefore, we conclude that the tooth shape of temnospondyls has primarily evolved for optimal performance during normal usage rather than to survive a relatively rare catastrophic impact.