Journal ArticleDOI
Five-parameter fractional derivative model for polymeric damping materials
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TLDR
In this paper, a version of the fractional derivative models characterized by five parameters is presented and investigated in order to describe asymmetrical loss factor peak and the high-frequency behaviour of polymeric damping materials.About:
This article is published in Journal of Sound and Vibration.The article was published on 2003-08-28. It has received 248 citations till now. The article focuses on the topics: Fractional calculus & Viscoelasticity.read more
Citations
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Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results
TL;DR: In this article, the authors present the analysis of new trends and recent results carried out during the last 10 years in the field of fractional calculus application to dynamic problems of solid mechanics.
Journal ArticleDOI
Identification of the parameters of the Kelvin-Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers
TL;DR: In this paper, a family of methods for identification of the parameters of both the Kelvin-Voigt fractional model and the Maxwell fractional models are presented in order to describe the behavior of viscoelastic dampers using a small number of parameters.
Journal ArticleDOI
Research and applications of viscoelastic vibration damping materials: A review
TL;DR: A comprehensive review of the various research methods and theory calculation models that are employed in engineering to study the static and dynamic vibration characteristics of viscoelastic damping material (VDM) formed structures is presented in this article.
Journal ArticleDOI
Elastic and damping characterizations of acoustical porous materials: Available experimental methods and applications to a melamine foam
TL;DR: In this paper, the authors present a comprehensive list of current available techniques and difficulties faced in the estimations of the elastic and damping parameters for acoustical porous materials, and apply the maximum number of these methods to the characterization of a porous material and to discuss the results.
Journal ArticleDOI
A variable order constitutive relation for viscoelasticity
TL;DR: In this paper, a constitutive relation for linear viscoelasticity of composite materials is formulated using the novel concept of Variable Order (VO) differintegrals, where the order of the derivative is allowed to be a function of the independent variable (time), rather than a constant of arbitrary order.
References
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Book
Anelastic and Dielectric Effects in Polymeric Solids
TL;DR: Menard et al. as mentioned in this paper discuss the use of dynamic mechanical analysis (DMA) as a tool for thermal analysis, rheology, and materials science in the analytical laboratory.
Journal ArticleDOI
A complex plane representation of dielectric and mechanical relaxation processes in some polymers
S. Havriliak,S. Negami +1 more
TL;DR: In this paper, it was shown that the complex deformation of the same data can be represented by a function of same form but with different values for the constants, which can be interpreted as the decay of the distortion with time of the removal of stress field.
Journal ArticleDOI
Fractional calculus - A different approach to the analysis of viscoelastically damped structures
Ronald L. Bagley,Peter J. Torvik +1 more
TL;DR: In this paper, a fractional calculus is used to construct stress-strain relationships for viscoelastic materials and these relationships are used in the finite element analysis of damped structures and closed-form solutions to the equations of motion are found.
Journal ArticleDOI
On the Fractional Calculus Model of Viscoelastic Behavior
Ronald L. Bagley,Peter J. Torvik +1 more
TL;DR: In this paper, a mathematical model of the viscoelastic phenomenon employing derivatives of fractional order is examined in light of its consistency with thermodynamic principles, which leads the model to predict realistic sinusoidal response as well as realistic relaxation and creep responses.
Journal ArticleDOI
A new dissipation model based on memory mechanism
TL;DR: The model of dissipation based on memory introduced by Caputo is generalized and checked with experimental dissipation curves of various materials.
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A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
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Fractional calculus - A different approach to the analysis of viscoelastically damped structures
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