Assessment of parameters of a fractional relaxation kernel modelling viscoelastic properties of the periodontal ligament

DOI10.1007/S11012-022-01592-8zbMath1526.74049MaRDI QIDQ6171412

Sergei Bosiakov

Publication date: 11 August 2023

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

stress relaxationfractional exponential Rabotnov functionanalytical asymmetric tooth root modelphase transition duration

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Applications of fractional calculus in solid mechanics (74S40)

Cites Work

• Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times
• Centennial jubilee of Academician Rabotnov and contemporary handling of his fractional operator
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