On a mathematical model of a human root dentin.

  title={On a mathematical model of a human root dentin.},
  author={Ljubomir M Petrovic and Dragan Spasic and Teodor M. Atanackovic},
  journal={Dental materials : official publication of the Academy of Dental Materials},
  volume={21 2},
OBJECTIVE On the basis of recent experimental data, a new mathematical model that predicts creep in human root dentin has been developed. METHOD The chosen constitutive model comprises fractional derivatives of stress and strain and the restrictions on the coefficients that follow from the Clausius-Duhem inequality. RESULTS The four constants describing mechanical properties of the human dentin at constant temperature are calculated from a highly non-linear system involving Mittag-Leffler… CONTINUE READING

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