Last edited by Nasida
Wednesday, April 29, 2020 | History

3 edition of Fractional-order viscoelasticity (FOV) found in the catalog.

Fractional-order viscoelasticity (FOV)

Fractional-order viscoelasticity (FOV)

constitutive development using the fractional calculus : first annual report

by

  • 377 Want to read
  • 7 Currently reading

Published by National Aeronautics and Space Administration, Glenn Research Center, Available from NASA Center for Aerospace Information in [Cleveland, Ohio], Hanover, MD .
Written in English

    Subjects:
  • Elasticity.,
  • Viscoelasticity.,
  • Stress.,
  • Strain.,
  • Numerical differentiation.,
  • Numerical integration.

  • Edition Notes

    Other titlesFractional order viscoelasticity (FOV), Constitutive development using the fractional calculus.
    StatementAlan Freed, Kai Diethelm, [and] Yury Luchko.
    SeriesNASA/TM -- 2002-211914., NASA technical memorandum -- 211914.
    ContributionsDiethelm, Kai., Luchko, Yury., NASA Glenn Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL16106753M

    Read "Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach" by Shyam Kamal available from Rakuten Kobo. In the last two decades fractional differential equations have been used more frequently in physics, signal processing, Brand: Springer International Publishing. @article{osti_, title = {Analysis of tristable energy harvesting system having fractional order viscoelastic material}, author = {Oumbé Tékam, G. T. and Woafo, P. and Kitio Kwuimy, C. A.}, abstractNote = {A particular attention is devoted to analyze the dynamics of a strongly nonlinear energy harvester having fractional order viscoelastic flexible material.


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Fractional-order viscoelasticity (FOV) Download PDF EPUB FB2

General Fractional Derivatives with Applications Fractional-order viscoelasticity book Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint.

Fractional calculus and its applications have gained considerable popularity and importance Fractional-order viscoelasticity book of their applicability to. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and Fractional-order viscoelasticity book principles of a Hamiltonian type.

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 Fractional-order viscoelasticity book 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 Fractional-order viscoelasticity book 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 Fractional-order viscoelasticity book 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 Fractional-order viscoelasticity book Computational physical Sciences Research Laboratory, School of Nano-Science, Institute for Research in Fundamental Sciences (IPM Cited by: 5.

Recently, some Fractional-order viscoelasticity book based on fractional order dif-ferential equations were presented Fractional-order viscoelasticity book 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 TorvikDoi and EdwardsFerryKoeller ) but they were recently applied in tissue biomechanics (Djordjevic et alKiss et alSuki 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. ISBNproperties of fractional Fractional-order viscoelasticity book 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. Fractional order models of viscoelasticity have proven to be very useful for modeling of polymers.

Time domain responses as stress relaxation and creep as well as frequency domain responses are well represented. The drawback of fractional order models is that the fractional order operators are difficult to handle by: Fractional order models approximate the viscoelastic material behavior of materials through the corresponding fractional differential equations.

This paper focuses on the tissue mimicking materials CF and gelatin, and compares fractional and integer order models to describe their behavior under harmonic mechanical by:   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 patient-specific cranial by: Audio Books & Poetry Community Audio Computers, Technology and Science Music, Arts & Culture News & Public Affairs Non-English Audio Spirituality & Religion Librivox Free Audiobook Federlese - Philosophie-Podcast Being Martina DeepHire DeepCast Take Action Real Estate Investing with Lo Financial Access 2 Chocolate Cool Beans Straight White Men.

Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact.

Fractional order models approximate the viscoelastic material behavior of materials through the corresponding fractional differential equations.

This paper focuses on the tissue mimicking materials. Fractional order models of viscoelasticity as an alternative in the analysis of red blood cell (RBC) membrane mechanics. Damian Craiem 1 and Richard L Magin 2. Published 20 January • IOP Publishing Ltd Physical Biology, Volume 7, Number 1Cited by: Fractional order generalized thermoelasticity theories: A review viscoelastic materials and they have successfully established the relation between the fractional order derivatives and book also presents a picture of state-of-art of fractional thermoelasticity and some problems for the time-fractional.

The objective of this report is to extend popular one-dimensional (1D) fractional-order viscoelastic (FOV) materials models into their three-dimensional (3D) equivalents for finitely deforming continua, and to provide numerical algorithms for their solution.

In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and.

Recent Application of Fractional Calculus to Science and Engineering (PDF 31P) This note covers the following topics: The Weyl fractional integral and the Mellin transform, Electrical circuits with fractance, Generalized voltage divider, Fractional calculus in viscoelasticity, Fractional order multipoles in electromagnetism.

Hence, a key missing item in the arterial Windkessel modeling is a fractional-order analog component that can provide a reliable, realistic and reduced representation of the fractional viscoelasticity behavior.

In this paper, we present, for the first time, a three-element fractional-order viscoelastic Windkessel by: 3. Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach (Lecture Notes in Electrical Engineering Book ) - Kindle edition by Bandyopadhyay, Bijnan, Kamal, Shyam.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Stabilization and Control of Fractional Order Systems: A Cited by: The paper presents the application of fractional viscoelastic models to characterize viscoleastic properties of asphalt concrete.

This implies the replacement of integer order derivatives in the constitutive equations with fractional derivatives. fractional order spectra and their application in the theory of viscoelasticity 23 May | International Journal of Bifurcation and Chaos, Vol.

22, No. 04 Dynamic analysis of frames with viscoelastic dampers modelled by rheological models with fractionalderivativesCited by: The mean (n = 5) fractional order wasindicating that the viscoelastic response of the tissue was strongly fractal-like. Results summary: mean QLV parameters were C = ⁠, τ 1 = ⁠, τ 2 = 76 ⁠, and mean FOV parameters were β = ⁠, τ = ⁠, and ρ = ⁠.Cited by: Fractional-order viscoelasticity (fov): constitutive development using the fractional (OCoLC) Online version: Freed, Alan.

Fractional-order viscoelasticity (FOV) (OCoLC) Material Type: Government publication, National government publication, Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors. This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order.

For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional /5(4). of variable fractional order, subject to the boundary condition x(a) = xa. For all variational problems presented here, we establish necessary optimality conditions and transversality optimality conditions.

The book is organized in two parts, as follows. In the first part, we review. The question addressed by this paper is tackled through a continuum micromechanics model of a 2D random checkerboard, in which one phase is linear elastic and another linear viscoelastic of integer-order.

The spatial homogeneity and ergodicity of the material statistics justify homogenization in the vein of the Hill–Mandel condition for viscoelastic media. Thus, uniform kinematic- or Cited by: 2. CF best fit viscoelastic constants for Rayleigh–Lamb wave experiments for Voigt, fractional order Voigt and SLS models.

(For the fractional order Voigt and SLS models, μ 0 is the value obtained from the static indentation test. For the Cited by: 8. A Collection of Fractional Calculus Books (Last updated: 4/8/) (Download the DOCX file. Please send an email to suggest a missing entry. Thank you!) N. Su: Fractional Calculus in Soil Hydrology and Mechanics: Fundamentals and Applications.

CRC Press,pages, ISBN Amazon. In the fields of dynamical systems and control theory, a fractional-order system is a dynamical system that can be modeled by a fractional differential equation containing derivatives of non-integer order.

Such systems are said to have fractional tives and integrals of fractional orders are used to describe objects that can be characterized by power-law nonlocality, power-law. Fractional-order derivative and time-dependent viscoelastic behaviour of rocks and minerals 11 September | Acta Geophysica, Vol.

61, No. 6 Dynamic analysis of a fractional order prey–predator interaction with harvestingCited by: Viscoelastic pipeline conveying fluid is analyzed with an improved variable fractional order model for researching its dynamic properties accurately in this study.

After introducing the improved model, an involuted variable fractional order, which is an unknown piecewise nonlinear function for analytical solution, an equation is established as the governing equation for the dynamic Cited by: 1.

We study a dynamic model for viscoelastic materials based on a constitutive equation of fractional order. This results in an integro-differential equation with a weakly singular convolution kernel. We discretize in the spatial variable by a standard Galerkin finite element method.

4. Perform simple fractional pdf damping control analysis; 5. Understand the f ractional mechanics in classical sense (Bagley - Torvik’s stress -strain relationships etc.) 6. Appreciate the new tool of fractional order calculus of variation and its role in fractional order Euler -Lagrange mechanics Size: 68KB.The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics.Ebook calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers ebook complex number powers of the differentiation operator D = (),and of the integration operator J = ∫ (),and developing a calculus for such operators generalizing the classical one.

In this context, the term powers refers to iterative application of a.