ABSTRACT
In this paper, elastic–plastic transitional stresses in human tooth enamel and dentine are calculated analytically. The tooth is modelled in the form of a shell, which exhibits transversely isotropic macrostructural symmetry. Transition theory of B. R. Seth has been used to model the elastic–plastic state of stresses. The shell so modeled is subjected to external pressure to analyze the state of stress. The results for enamel and dentine are compared with hydroxyapatite (HAP), given by chemical formula Ca10(PO4)6(OH)2. It is a naturally occurring mineral form of calcium and the enamel is 95% wt. composed of this mineral. The elastic stiffness constants for these are taken from the available literatures that have been obtained using resonance spectroscopy, a nondestructive technique of obtaining the elasticity constants. The radial and circumferential stresses are obtained for radius ratios, which can handle any type of dataset for thicknesses of enamel and dentine.
