by National Aeronautics and Space Administration, Glenn Research Center, Available from NASA Center for Aerospace Information in [Cleveland, Ohio], Hanover, MD .
Written in English
|Other titles||Fractional order viscoelasticity (FOV), Constitutive development using the fractional calculus.|
|Statement||Alan Freed, Kai Diethelm, [and] Yury Luchko.|
|Series||NASA/TM -- 2002-211914., NASA technical memorandum -- 211914.|
|Contributions||Diethelm, Kai., Luchko, Yury., NASA Glenn Research Center.|
|The Physical Object|
by the fractional order, which affects pressure wave propa-gation by introducing viscoelastic dissipation in the system. Keywords—1D blood ﬂow, Viscoelasticity, Fractional-order constitutive laws, Global stochastic sensitivity. INTRODUCTION The vascular wall is a heterogeneous soft tissue with complex bio-mechanical properties that vary. Fractional-Order Viscoelasticity (FOV): Constitutive Development Using the Fractional Calculus: First Annual Report Alan Freed Glenn Research Ce:nter, , Ohio Kai Diethehn Technisch.e t_it Braunschweig, Braunschweig, Germany Yury Luchko Europe University Via drina, Frankfurt, Germany National Aeronautics and Spa ce AdministrationFile Size: 6MB. Waves in Viscoelastic Materials of Fractional‐Order Type. Book Author(s): Teodor M. Atanacković. Search for more papers by this author Also, the analysis is presented for solid and fluid‐like viscoelastic bodies modeled by the constitutive equations of fractional derivative type. The chapter finally describes the displacement in Author: Teodor M. Atanacković, Stevan Pilipović, Bogoljub Stanković, DušAn Zorica. In this work we employ integer- and fractional-order viscoelastic models in a one-dimensional blood flow solver, and study their behavior by presenting an in-silico study on a large.
Janu World Scientiﬁc Book - 9in x 6in MAINARDI˙BOOK-FINAL Preface The aim of this monograph is essentially to investigate the connec-tions among fractional calculus, linear viscoelasticity and wave mo-tion. The treatment mainly reﬂects the research activity and style. A mathematical model of the viscoelastic phenomenon employing derivatives of fractional order is examined in light of its consistency with thermodynamic principles. In particular, the development of constraints on parameters of the model ensure that the model predicts a nonnegative rate of energy dissipation and a nonnegative internal by: 1 The Concepts and Applications of Fractional Order Differential Calculus in Modelling of Viscoelastic Systems: A primer Mohammad Amirian Matlob1, Yousef Jamali1,2* 1 Biomathematics Laboratory, Department of Applied Mathematics, Tarbiat Modares University, Iran 2 Computational physical Sciences Research Laboratory, School of Nano-Science, Institute for Research in Fundamental Sciences (IPM Cited by: 5. Recently, some models based on fractional order dif-ferential equations were presented to describe cell and tissue biomechanics (Djordjevic et al., ; Koeller, ; Suki et al., ). These equations derive into fractional viscoelastic concepts. Briefly, if a spring represents a zero order element and a .
Fractional-order models (FOM) were traditionally restricted to studying viscoelastic properties in polymers (Bagley and Torvik , Doi and Edwards , Ferry , Koeller ) but they were recently applied in tissue biomechanics (Djordjevic et al , Kiss et al , Suki et al ). They proved to be very efficient in matching several orders of magnitude in frequency responses of Cited by: New lumped-element models of red blood cell mechanics can be constructed using fractional order generalizations of springs and dashpots. Such ‘spring-pots’ exhibit a fractional order viscoelastic behavior that captures a wide spectrum of experimental results through power-law expressions in both the time and frequency domains. Purchase Fractional Order Systems - 1st Edition. Print Book & E-Book. ISBN , properties of fractional order differ integrals are also stated. Chapter 2 is devoted to the problem of discrete-time (digital) implementation of fractional order systems, i.e. fractional differ integrators, where two novel methods have been closely investigated: direct optimal andFile Size: 6MB.