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An equivalence between generalized Maxwell model and fractional Zener model

Mechanics of Materials, 2016
Abstract Both classic rheological models and fractional derivative models have been widely adopted to model the viscoelastic behaviors of materials. In this work, we present a detailed comparison of the performance of the generalized Maxwell model and fractional Zener model.
Rui Xiao, Hongguang Sun, Wen Chen
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A Nonlinear Generalized Maxwell Fluid Model for Viscoelastic Materials

Journal of Applied Mechanics, 2001
A nonlinear Maxwell fluid model consisting of a linear dashpot in series with a parallel arrangement of a linear spring and a second-order nonlinear spring, was developed. This configuration provides the flexibility necessary to describe both the stiffening and the softening responses of some viscoelastic materials. A noteworthy feature of the model is
D. T. Corr   +3 more
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A generalized viscoelastic Maxwell model for semisolid thixotropic alloys.

International Journal of Material Forming, 2010
More advanced investigation of any thixoforming process gives evidence that apart from the typical thixotropy also some viscoelastic features can be observed, particularly at high volumetric solid fraction. From the micrographic analysis one can conclude that the elastic properties have the origin in the solid globules, which are deformed in a flow ...
Jerzy Petera   +2 more
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On the Nonlinear Generalized Maxwell Fluid Model

Journal of Applied Mechanics, 2003
An equation describing a nonlinear generalized Maxwell fluid model is presented. Model behavior, for constant rate elongations, is investigated. A comparison of the results in this study with those in the literature has been given. The conclusion of Corr et al. that the model has two solutions is questionable.
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Numerical Comparison of the Generalized Maxwell and Cercignani–Lampis Models

Computational Mathematics and Mathematical Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Maxwell Model as Viscoelastic Lubricant in Journal Bearing

Key Engineering Materials, 2011
The hydrodynamic lubrication interest is still of great importance, so that more and more elaborated lubricants are considered. They, however, involve consequently more and more hydrodynamic complexity as a result of the rheological properties of the additives.
M. Guemmadi, A. Ouibrahim
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A certain generalization of the Voigt and Maxwell models

Polymer Mechanics, 1969
The authors propose a generalization of the Voigt and Maxwell models that allows the description of strong nonlinearity. Combined loading parameters are introduced and a method for their experimental determination is outlined. The conditions under which it is possible to employ the generalized method of elastic solutions are noted.
A. A. Il'yushin, P. M. Ogibalov
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Finite elements in space and time for generalized viscoelastic maxwell model

Computational Mechanics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Idesman, A., Niekamp, R., Stein, Erwin
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A Fractional Order Generalized Maxwell-Slip Friction Model

Volume 5: 21st IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA); 49th Mechanisms and Robotics Conference (MR)
Abstract In this paper, an accurate fractional order generalized Maxwell-slip (FO-GMS) model is proposed to improve the friction modeling performance. Properties of the proposed FO-GMS model are investigated with a comprehensive analysis of related modeling improvements.
Tianzhu Xun   +4 more
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Characterizing the Performance of the Conway‐Maxwell Poisson Generalized Linear Model

Risk Analysis, 2011
Count data are pervasive in many areas of risk analysis; deaths, adverse health outcomes, infrastructure system failures, and traffic accidents are all recorded as count events, for example. Risk analysts often wish to estimate the probability distribution for the number of discrete events as part of doing a risk assessment.
Royce A, Francis   +5 more
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