A fractional derivative-based numerical approach to rate-dependent stress-strain relationship for viscoelastic materials

DOI10.1007/s00707-021-02946-1zbMath1487.74018OpenAlexW3151526791MaRDI QIDQ2234275

Yanyan Li

Publication date: 18 October 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-021-02946-1

zbMATH Keywords

experimental verificationthree-parameter modelmonocyclic loading

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) Theory of constitutive functions in solid mechanics (74A20) Applications of fractional calculus in solid mechanics (74S40)

Related Items (1)

Rate-dependent fractional constitutive model for nonlinear behaviors of rubber polymers

Uses Software

• Matlab
• lsqcurvefit

Cites Work

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• Creep constitutive models for viscoelastic materials based on fractional derivatives
• On the mathematical modelling of material behavior in continuum mechanics
• Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative
• The fractional diffusion model with an absorption term and modified Fick's law for non-local transport processes
• Scott-Blair models with time-varying viscosity
• Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Generalized viscoelastic models: their fractional equations with solutions
• On the Fractional Calculus Model of Viscoelastic Behavior

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