Effect of the initial ramps of creep and relaxation tests on models with fractional derivatives

DOI10.1007/s11012-017-0678-1zbMath1394.74029OpenAlexW2613032660MaRDI QIDQ1696552

Maolin Du, Yi Wang, Zaihua Wang

Publication date: 14 February 2018

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-017-0678-1

zbMATH Keywords

relaxationviscoelasticitycreepfractional derivativeinitial ramp

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05)

Related Items (4)

Fractional discrete-time diffusion equation with uncertainty: applications of fuzzy discrete fractional calculus ⋮ Effects of double stratification and heat flux damping on convective flows over a vertical cylinder ⋮ EQUIVALENCE OF INITIALIZED RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES ⋮ Fractional derivative modeling of time-varying viscosity materials considering initial loading ramp in real experiments

Cites Work

• Unnamed Item
• Correcting the initialization of models with fractional derivatives via history-dependent conditions
• Initial conditions and initialization of linear fractional differential equations
• On the application of fractional calculus for the formulation of viscoelastic models
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Nonlocal elasticity: an approach based on fractional calculus
• Non-linear viscoelastic behavior of polymer melts interpreted by fractional viscoelastic model
• Numerical interconversion between linear viscoelastic material functions with regularization
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity

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