Generalization of Kramers-Kronig transforms and some approximations of relations between viscoelastic quantities

DOI10.1007/BF01520701zbMath0503.73018OpenAlexW2054775321MaRDI QIDQ3969933

H. C. Booij, G. P. J. M. Thoone

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01520701

zbMATH Keywords

Kramers-Kronig relationsshear modulusphase angleprinciple of causalityBoltzmann's superposition principleapproximate relationscharacterized by regularity propertiesKramers-Kronig transformslinear system functionssystem responses as consequence of real stimuli

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (5)

Material functions generated by the complex viscosity ⋮ Generalization of Kramers-Krönig relations for evaluation of causality in power-law media ⋮ Numerical description of shear viscosity functions of long-chain branched metallocene-catalyzed polyethylenes ⋮ A discrete convolutional Hilbert transform with the consistent imaginary initial conditions for the time-domain analysis of five-layered viscoelastic sandwich beam ⋮ An approximation method to relate the linear viscoelastic functions

Cites Work

• Linear-System Integral Transform Relations
• Numerisch einfache Beziehungen zwischen Verlust- und Speicherkomponente des dynamischen Schermoduls und der dynamischen Nachgiebigkeit
• Zu einer einheitlichen Theorie der Relaxationserscheinungen

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