Dynamic Measurements in Long-memory Materials: Fractional Calculus Evaluation of Approach to Steady State

DOI10.1177/1077546307087428zbMath1229.74016OpenAlexW2028551279MaRDI QIDQ3111032

Nicole Heymans

Publication date: 17 January 2012

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546307087428

zbMATH Keywords

fractional calculustransientDMTAzener model

Mathematics Subject Classification ID

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

Related Items (7)

Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise ⋮ Time domain analysis of the fractional order weighted distributed parameter Maxwell model ⋮ Investigation of complex behaviour of fractal fractional chaotic attractor with Mittag-Leffler Kernel ⋮ Fractional Tikhonov regularization method in Hilbert scales ⋮ Unnamed Item ⋮ Fractional calculus models of complex dynamics in biological tissues ⋮ Fractional order calculus: basic concepts and engineering applications

Cites Work

• Constitutive equations for polymer viscoelasticity derived from hierarchical models in cases of failure of time-temperature superposition
• Mechanical stress relaxation in polymers: Fractional integral model versus fractional differential model
• Fractional calculus description of nonlinear viscoelastic behaviour of polymers
• Applications of Fractional Calculus to the Theory of Viscoelasticity

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