scholarly journals Investigation on viscoelastic behavior of virgin EPDM/ reclaimed rubber blends using Generalized Maxwell Model (GMM)

2021 ◽  
Vol 93 ◽  
pp. 106989
Author(s):  
Atefeh Salimi ◽  
Foroud Abbassi-Sourki ◽  
Mohammad Karrabi ◽  
Mir Hamid Reza Ghoreishy
Keyword(s):  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Rubber Blends ◽  
Generalized Maxwell Model

Linking Internal Dissipation Mechanisms to the Effective Complex Viscoelastic Moduli of Ferroelectrics

2016 ◽  
Vol 84 (2) ◽  
Author(s):  
Charles S. Wojnar ◽  
Dennis M. Kochmann
Keyword(s):  
Microstructure Evolution ◽  
Domain Switching ◽  
Constitutive Models ◽  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Hysteretic Behavior ◽  
Ferroelectric Ceramics ◽  
Internal Variables ◽  
Viscoelastic Parameters ◽  
Generalized Maxwell Model

Microstructural mechanisms such as domain switching in ferroelectric ceramics dissipate energy, the nature, and extent of which are of significant interest for two reasons. First, dissipative internal processes lead to hysteretic behavior at the macroscale (e.g., the hysteresis of polarization versus electric field in ferroelectrics). Second, mechanisms of internal friction determine the viscoelastic behavior of the material under small-amplitude vibrations. Although experimental techniques and constitutive models exist for both phenomena, there is a strong disconnect and, in particular, no advantageous strategy to link both for improved physics-based kinetic models for multifunctional rheological materials. Here, we present a theoretical approach that relates inelastic constitutive models to frequency-dependent viscoelastic parameters by linearizing the kinetic relations for the internal variables. This enables us to gain qualitative and quantitative experimental validation of the kinetics of internal processes for both quasistatic microstructure evolution and high-frequency damping. We first present the simple example of the generalized Maxwell model and then proceed to the case of ferroelectric ceramics for which we predict the viscoelastic response during domain switching and compare to experimental data. This strategy identifies the relations between microstructural kinetics and viscoelastic properties. The approach is general in that it can be applied to other rheological materials with microstructure evolution.

scholarly journals A new identification method of viscoelastic behavior: Application to the generalized Maxwell model

2011 ◽  
Vol 25 (3) ◽  
pp. 991-1010 ◽  
Author(s):  
Franck Renaud ◽  
Jean-Luc Dion ◽  
Gaël Chevallier ◽  
Imad Tawfiq ◽  
Rémi Lemaire
Keyword(s):  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Identification Method ◽  
Generalized Maxwell Model

Viscoelastic Damping Effect on Brake Squeal Noise

2009 ◽  
Author(s):  
Gael Chevallier ◽  
Franck Renaud ◽  
Jean-Luc Dion
Keyword(s):  
Degrees Of Freedom ◽  
Viscoelastic Model ◽  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Element Model ◽  
Brake Squeal ◽  
Generalized Maxwell Model ◽  
Space Formulation ◽  
Damping Materials ◽  
Squeal Noise

Brake squeal remains a widespread cause for discomfort in automobiles. Manufacturers overcome this problem by adding damping materials in their systems. The purpose of this work is to take into account the damping in the modeling. As the materials exhibit a viscoelastic behavior, the authors chose to model the damping with the Generalized Maxwell model. Moreover, the authors have tested their method on a detailed Finite Element-model of a brake system. To compute the complex poles of the model, the authors have established a state-space formulation of the viscoelastic model with a new assumption that allows one to reduce the number of states. Making the computation on the whole model is rather difficult due to the number of Degrees Of Freedom, the model is thus reduced on a basis constituted with the eigenvectors of the undamped model. Several results are also presented and discussed as the observed phenomena are rather different from the results obtained with undamped systems.

scholarly journals Maxwell model geotextile encased stone column in soft soil improvement

2021 ◽  
Vol 4 (1) ◽  
pp. first
Author(s):  
Phạm Tiến Bách ◽  
Võ Đại Nhật ◽  
Nguyễn Việt Kỳ ◽  
Lê Quân
Keyword(s):  
Ground Improvement ◽  
Soft Soil ◽  
Great Influence ◽  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Soil Improvement ◽  
Time Dependent ◽  
Dependent Behavior ◽  
Generalized Maxwell Model ◽  
Matlab Programming

In the field of geotechnical – soft soil improvement, the mathematical model or mechanical model is one of the important input parameters for the design calculations or studies. The determination of the appropriateness of the models has a great influence on the accuracy results of design and calculation as well as the sustainable stability of soft ground after improvement. On the contrary, the selection of inadequate calculation models will lead to increased costs of soft soil improvement, possibly even leading to the destabilization of the work and causing immense loss of people and property. Recently, many projects major highway after construction design in use has not meet the requirements of the standard, leading to wasted money and time of individuals, organizations, and the state of post-treatment. Therefore, the research and application of using mathematical or mechanical models in accordance with the new soft soil improvement method will greatly help as well as add additional options for soft soil improvement in Vietnam. The soft soil deformation is not only related to load but also to load time. The change in stress and deformation of weak soil over time is called rheology, and in this study is the viscoelastic behavior. From the above reasons, we try to apply a generalized Maxwell model to explain the viscoelastic behavior of a soft soil. In particular, the time-dependent behavior of a viscoelastic soft soil was represented by using the Maxwell rheological model. The Matlab programming code helps to solve numerically all the equation of the mathematical exhibition of the generalized Maxwell model results. We acknowledge that the generalized Maxwell model is superior in demonstrating the time-dependent behavior of soft soil. The results probably show that this is one of the effective models to predict the behavior of soft soils in ground improvement with GEC.

Generalized Maxwell model for the viscoelastic behavior of a soda-lime-silica glass under low frequency shear loading

1997 ◽  
Vol 36 (2) ◽  
pp. 173-186
Author(s):  
Lucas Duffrène *, † , Ren&#x ◽  
Hélène Burlet ◽  
Roland Piques ◽  
Annelise Faivre ◽  
Anas Sekkat ◽  
...  
Keyword(s):  
Silica Glass ◽  
Low Frequency ◽  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Soda Lime ◽  
Shear Loading ◽  
Generalized Maxwell Model ◽  
Soda Lime Silica Glass

Generalized Maxwell model for the viscoelastic behavior of a soda-lime-silica glass under low frequency shear loading

1997 ◽  
Vol 36 (2) ◽  
pp. 173-186 ◽  
Author(s):  
Lucas Duffr�ne ◽  
Ren� Gy ◽  
H�l�ne Burlet ◽  
Roland Piques ◽  
Annelise Faivre ◽  
...  
Keyword(s):  
Silica Glass ◽  
Low Frequency ◽  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Soda Lime ◽  
Shear Loading ◽  
Generalized Maxwell Model ◽  
Soda Lime Silica Glass

Multiaxial linear viscoelastic behavior of a soda–lime–silica glass based on a generalized Maxwell model

1997 ◽  
Vol 41 (5) ◽  
pp. 1021-1038 ◽  
Author(s):  
L Duffrène ◽  
R. Gy ◽  
H. Burlet ◽  
R. Piques
Keyword(s):  
Silica Glass ◽  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Soda Lime ◽  
Generalized Maxwell Model ◽  
Linear Viscoelastic Behavior ◽  
Linear Viscoelastic ◽  
Soda Lime Silica Glass

An Orthotropic Viscoelastic Winding Model Including a Nonlinear Radial Stiffness

1997 ◽  
Vol 64 (1) ◽  
pp. 201-208 ◽  
Author(s):  
W. R. Qualls ◽  
J. K. Good
Keyword(s):  
Numerical Solutions ◽  
Viscoelastic Model ◽  
Viscoelastic Behavior ◽  
Maxwell Model ◽  
Stress Distributions ◽  
Convolution Integral ◽  
Integral Boundary ◽  
Transient Stress ◽  
Radial Stiffness ◽  
Generalized Maxwell Model

A realistic and adaptive viscoelastic model for prediction of transient wound roll stress distributions is presented. The web material is taken to be orthotropic with a nonlinear radial stiffness dependent upon interlayer pressure. Viscoelastic behavior is represented by a generalized Maxwell model for creep written as a convolution integral. Numerical solutions to the resulting integral boundary value problem give both initial and transient stress distributions within the wound roll. The model is successfully compared to the analytical solution for a simple case of isotropy as well as to published works on this topic. In contrasting the solutions, the advantages and adaptability of this formulation will be readily seen.

EXPERIMENTAL RESEARCH ON VISCOELASTICITY PROPERTY OF DIFFERENT LAYERS PERIODONTAL LIGAMENT UNDER COMPRESSION

2021 ◽  
pp. 2150050
Author(s):  
JINLAI ZHOU ◽  
YANG SONG ◽  
CHENGUANG XU ◽  
CHUNQIU ZHANG ◽  
XUE SHI
Keyword(s):  
Elastic Modulus ◽  
Periodontal Ligament ◽  
Creep Compliance ◽  
Relaxation Modulus ◽  
Maxwell Model ◽  
Kelvin Model ◽  
Generalized Maxwell Model ◽  
Relaxation Stress ◽  
Generalized Kelvin Model ◽  
Fitting Accuracy

The periodontal ligament (PDL) exhibits different material mechanical properties along the long axis of the teeth. To explore the creep and the relaxation effects of dissimilar layers of PDL, this paper took the central incisors of porcine mandibular as experimental subjects and divided them perpendicular to the teeth axis into five layers. Creep experiments and relaxation experiments on five layers were conducted to obtain the creep compliance and relaxation modulus at different layers. Linear elastic model, generalized Kelvin model, and generalized Maxwell model were used to describe the major characteristics of the PDL: Instantaneous elasticity, creep and relaxation. Fitting accuracy of three-parameter, five-parameter, and seven-parameter of the model was compared, and the constitutive equations of different layers were established by the least square method. The results presented that the creep strain and the relaxation stress of PDL were exponentially correlated with time under different loading conditions. Different layers showed a significant effect on the creep strain and relaxation stress of PDL. Along the long axis of the teeth, the changing rule of the creep compliance and relaxation modulus of each layer showed quite the contrary, and the instantaneous elastic modulus first decreased to the minimum, then increased to the maximum. Higher instantaneous elastic modulus led to lower creep compliance and higher relaxation modulus. The generalized Kelvin model and the generalized Maxwell model well characterized the creep and relaxation properties of PDL. Fitting accuracy increased with the number of model parameters. The relaxation time of PDL was about one order of magnitude shorter than the creep retardation time, which indicated that the relaxation effect lasted shorter than the creep effect.

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