Academic literature on the topic 'Viscoelastic Kelvin-Voigt model'

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Journal articles on the topic "Viscoelastic Kelvin-Voigt model"

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Makwana, Harsh, Dr Girish P. Deshmukh, and Dr Laxman Kumar Pandey. "STRAIN RATE DEPENDENCY OF NEOHOOKEAN MATERIAL USING KELVIN-VOIGT VISCOELASTIC MODEL." International Journal of Engineering Applied Sciences and Technology 8, no. 1 (2023): 205–12. http://dx.doi.org/10.33564/ijeast.2023.v08i01.032.

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This research paper examines the strain rate dependency of a Neo-Hookean material using the Kelvin-Voigt viscoelastic model. The Neo-Hookean model is widely used to describe the mechanical behavior of rubber-like materials, but it fails to consider the timedependent response observed in many materials. To overcome this limitation, the Kelvin-Voigt viscoelastic model, which incorporates a viscosity term into the NeoHookean model, is employed to capture the strain rate dependency. The paper commences by introducing the Neo-Hookean material model and its assumptions. It then elucidates the ration
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Abdessamad, Zouhair, Ilya Kostin, Grigory Panasenko, and Valery P. Smyshlyaev. "Homogenization of thermo-viscoelastic Kelvin–Voigt model." Comptes Rendus Mécanique 335, no. 8 (2007): 423–29. http://dx.doi.org/10.1016/j.crme.2007.05.022.

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Stan, Felicia, Adriana-Madalina Turcanu (Constantinescu), and Catalin Fetecau. "Analysis of Viscoelastic Behavior of Polypropylene/Carbon Nanotube Nanocomposites by Instrumented Indentation." Polymers 12, no. 11 (2020): 2535. http://dx.doi.org/10.3390/polym12112535.

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In this work, the viscoelastic behavior of polypropylene (PP)/multi-walled carbon nanotube (MWCNT) nanocomposites was investigated by indentation testing and phenomenological modeling. Firstly, indentation tests including two-cycle indentation were carried out on PP/MWCNT nanocomposite with three MWCNT loadings (1, 3 and 5 wt %). Next, the Maxwell–Voigt–Kelvin model coupled with two-cycle indentation tests was used to predict the shear creep compliance function and the equivalent indentation modulus. The indentation hardness and elastic modulus of the PP/MWCNT nanocomposites extracted based on
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Pezzinga, Giuseppe. "On the Characterization of Viscoelastic Parameters of Polymeric Pipes for Transient Flow Analysis." Modelling 4, no. 2 (2023): 283–95. http://dx.doi.org/10.3390/modelling4020016.

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The behaviour of polymeric pipes in transient flows has been proved to be viscoelastic. Generalized Kelvin–Voigt (GKV) models perform very well when simulating the experimental pressure. However, in the literature, no general indications on the evaluation of the model parameters are given. In the present study, the calibration of GKV model parameters is carried out using a micro-genetic algorithm for experimental tests of transient flows in polymeric pipes taken from the literature. The results confirm that the higher the number of Kelvin–Voigt elements, the better the reproduction of experime
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Kundu, Sudeep, and Amiya K. Pani. "Stabilization of Kelvin–Voigt viscoelastic fluid flow model." Applicable Analysis 98, no. 12 (2018): 2284–307. http://dx.doi.org/10.1080/00036811.2018.1460810.

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Chen, Genmeng. "Comparison of 2-D numerical viscoelastic waveform modeling with ultrasonic physical modeling." GEOPHYSICS 61, no. 3 (1996): 862–71. http://dx.doi.org/10.1190/1.1444011.

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The objective of the study is to test the validity of theoretical models of wave attenuation by comparing their predictions of attenuation against physical model results. The study is confined to a 2-D geometry, and the viscoelastic materials used in physical modeling are those commonly used in the experiment. The physical modeling data of homogeneous media are compared with the numerical results in the frequency domain. The time‐domain comparisons between numerical modeling and physical modeling are also shown by three examples. The theoretical viscoelastic models used in the numerical study
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Amosov, Andrey, Ilya Kostin, Grigory Panasenko, and Valery P. Smyshlyaev. "Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model." Journal of Mathematical Physics 54, no. 8 (2013): 081501. http://dx.doi.org/10.1063/1.4813106.

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Reyes de Luna, Eduardo, Andriy Kryvko, Juan B. Pascual-Francisco, Ignacio Hernández, and Didier Samayoa. "Generalized Kelvin–Voigt Creep Model in Fractal Space–Time." Mathematics 12, no. 19 (2024): 3099. http://dx.doi.org/10.3390/math12193099.

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In this paper, we study the creep phenomena for self-similar models of viscoelastic materials and derive a generalization of the Kelvin–Voigt model in the framework of fractal continuum calculus. Creep compliance for the Kelvin–Voigt model is extended to fractal manifolds through local fractal-continuum differential operators. Generalized fractal creep compliance is obtained, taking into account the intrinsic time τ and the fractal dimension of time-scale β. The model obtained is validated with experimental data obtained for resin samples with the fractal structure of a Sierpinski carpet and e
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Gholipour, Alireza, Mergen H. Ghayesh, and Yueqiang Zhang. "A Comparison between Elastic and Viscoelastic Asymmetric Dynamics of Elastically Supported AFG Beams." Vibration 3, no. 1 (2020): 3–17. http://dx.doi.org/10.3390/vibration3010002.

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This investigation compares the dynamic simulation results of perfect, elastically-supported, axially-functionally-graded (AFG) beams between viscoelastic and elastic models. When modeling and simulating the dynamics of AFG beams, the elastic model is commonly assumed so as to simplify calculations. This investigation shows how the dynamics varies if viscosity is present. The nonlinear continuous/discretized, axial/transverse motion derivation procedure is explained briefly based on Hamilton’s principle for energy/energy-loss, Kelvin–Voigt viscosity, elastic foundation assumption, and exponent
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Nowfal, Shaymaa Hussein, Ganga Rama Koteswara Rao, V. Velmurugan, Sudhakar Sengan, Ravi Kumar Bommisetti, and Pankaj Dadheech. "Advancing viscoelastic material modeling : Tackling time-dependent behavior with fractional calculus." Journal of Interdisciplinary Mathematics 27, no. 2 (2024): 307–16. http://dx.doi.org/10.47974/jim-1827.

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A combination of inherent unique stress-strain response features, Viscoelastic Materials (VM) provide an integral part in many different fields of engineering. Although practical, these materials’ highly complex time-dependent methods according to non-linear loading scenarios are impossible to model using conventional viscoelastic models such as Maxwell and Kelvin-Voigt. The present study introduces a framework that pushes over traditional Maxwell and Kelvin-Voigt approaches by employing fractional calculus in order to enhance the prediction of VM performance. The mathematical representation m
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Dissertations / Theses on the topic "Viscoelastic Kelvin-Voigt model"

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Potvin, Marie-Josee. "Comparison of time-domain finite element modelling of viscoelastic structures using an efficient fractional Voigt-Kelvin model or prony series." Thesis, McGill University, 2001. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=37814.

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The thesis centers on time domain modelling of viscoelastic materials. Classical models are compared to models involving fractional derivatives, which are derivatives of an order between 0 and 1. Parameters for classical and fractional order models are found for two materials, polymethylmethacrylate and 3M ISD 112, an acrylic based material sold as a viscoelastic layer by 3M. In both cases, only Prony series with several parameters achieve a good representation over a large frequency range. In the case of 3M ISD 112, a fractional model with only two parameters gives a good representation over
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Дзюба, Лідія Федорівна. "Поперечні коливання в’язкопружних поздовжньо-рухомих гнучких елементів". Thesis, 2016. http://hdl.handle.net/123456789/2139.

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In this article bending oscillations of moving belt drive, which is described by differential equations are investigated. They contain mixed derivative in time and space coordinates. The nonlinearity of the material mechanical properties is concidered. It was described by Kelvin - Voigt viscoelastic model. Taking into account the finite length of flexible element is made assumptions about the influence of nonlinear force on laws of change over time amplitude and frequency of the bending vibrations. Therefore, the differential equation considered to be weakly nonlinear. The solution of differe
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Book chapters on the topic "Viscoelastic Kelvin-Voigt model"

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Manoli D.M. "The influence of the ground's morphology on the seismic analysis with no integration errors." In Geotechnical Engineering: New Horizons. IOS Press, 2011. https://doi.org/10.3233/978-1-60750-808-3-146.

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In order to find the influence of ground's morphology three models are used. One of the simplest models for simulating the soil stress-strain response during earthquake loading is the viscoelastic Kelvin-Voigt model. The first model is using a horizontal surface and for the other two models a circular shape was added or removed from the regular surface in order to generate imperfections to the concave or convex surface. After the first run integration errors are found and the results are shown in the paper. After analyzing the obtained results it the different between the models is clarified.
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Merveil Anague Tabejieu, Lionel, Blaise Roméo Nana Nbendjo, and Giovanni Filatrella. "Vibrations of an Elastic Beam Subjected by Two Kinds of Moving Loads and Positioned on a Foundation having Fractional Order Viscoelastic Physical Properties." In Advances in Dynamical Systems Theory, Models, Algorithms and Applications. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.96878.

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The present chapter investigates both the effects of moving loads and of stochastic wind on the steady-state vibration of a first mode Rayleigh elastic beam. The beam is assumed to lay on foundations (bearings) that are characterized by fractional-order viscoelastic material. The viscoelastic property of the foundation is modeled using the constitutive equation of Kelvin-Voigt type, which contain fractional derivatives of real order. Based to the stochastic averaging method, an analytical explanation on the effects of the viscoelastic physical properties and number of the bearings, additive an
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Conference papers on the topic "Viscoelastic Kelvin-Voigt model"

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Li, Zhi, Weifeng Pan, Yanwei Liu, and Jiangong Yu. "Research on ultrasonic guided wave characteristics and defect detection of bolt based on Kelvin-Voigt viscoelastic model." In 2024 18th Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA). IEEE, 2024. https://doi.org/10.1109/spawda63926.2024.10878869.

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Butcher, Eric A., and Daniel J. Segalman. "Characterizing Damping and Restitution in Compliant Impacts via Linear Viscoelastic Models." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8335.

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Abstract Strategies for characterizing damping and restitution in compliant impacts while eliminating the force discontinuities associated with the standard Kelvin-Voigt model are examined within the framework of linear viscoelasticity. A modification of the Kelvin-Voigt model as well as higher-order (Maxwell and standard linear) models are studied in an effort to satisfy the expected force-displacement boundary conditions. The restitution coefficients, energy losses per cycle, and equivalent linear damping ratios are then obtained analytically as functions of the dimensionless viscoelastic pa
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Herrmann, Torsten, and Valdas Chaika. "Identification of Viscoelastic Properties of Finite Element Structures With Joints." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4246.

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Abstract Identification of the damping and stiffness parameters of the composite joints in finite element structures is analyzed. For the modeling of the viscoelastic properties of the joints the classical Voigt-Kelvin and generalized Maxwell model (three parameter solid) are used. A time domain identification algorithm for classically and non-classically damped dynamic systems is developed. It is based on the application of an extended Kalman filter and least square technique. The algorithm uses complex modal analysis and sparse matrix technology. Both force and base excited systems are consi
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Bakhtiari-Nejad, Firooz, Ehsan Loghman, and Mostafa Pirasteh. "Nonlinear Vibration Analysis of a Fractional Viscoelastic Euler-Bernoulli Microbeam." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87061.

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Nonlinear vibration of a simply-supported Euler-Bernoulli microbeam with fractional Kelvin-Voigt viscoelastic model subjected to harmonic excitation is investigated in this paper. For small scale effects the modified strain gradient theory is used. For take into account geometric nonlinearities the Von karman theory is applied. Beam equations are derived from Hamilton principle and the Galerkin method is used to convert fractional partial differential equations into fractional ordinary differential equations. Problem is solved by using the method of multiple scales and amplitude-frequency equa
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David, N. V., X. L. Gao, J. Q. Zheng, and K. Masters. "Three-Parameter Viscoelasticity Models for Ballistic Fabrics." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68853.

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Ballistic fabrics are made from high performance polymeric fibers such as Kevlar®, Twaron® and Spectra®. These fibers often behave viscoelastically in high strain rate deformations. The Kelvin-Voigt and Maxwell rheological models have been used to characterize such viscoelastic responses at different strain rates. However, these two-parameter models have been found to be inadequate and inaccurate in some applications. As a result, three-parameter rheological models have been utilized to develop constitutive relations for viscoelastic polymeric fabrics. In this study, a generalized Maxwell (GM)
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Chen, Tao, and Zhichao Hou. "Summation Resonance of Parametrically Excited Moving Viscoelastic Belts." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-43995.

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The nonlinear dynamic analysis is performed on parametrically excited, viscoelastic moving-belts at summation resonance. The belt material behavior is described by a Voigt-Kelvin model. Closed-form solutions are derived at the first order approximation. Focus is put on the stability of the nontrivial solutions. The explicit expressions on the stability conditions are obtained, and then simplified through numerical simulations. The influences of moving speed and tension fluctuation on the stability of the nontrivial solutions are also demonstrated.
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Tecse, Aldo, Stefano E. Romero, Carlos Romero, Roozbeh Naemi, and Benjamin Castaneda. "Mechanical validation of viscoelastic parameters for different interface pressures using the Kelvin-Voigt fractional derivative model." In 2022 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC). IEEE, 2022. http://dx.doi.org/10.1109/embc48229.2022.9872009.

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Kaul, Sudhir. "Nonlinear Design of a Passive Vibration Isolator: Influence of Multi-Axial Stiffness." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10021.

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Abstract Passive vibration isolators are widely used in multiple engineering applications to reduce resonance peaks or to mitigate transmissibility in the presence of internal or external sources of dynamic excitation. The design of a linear passive isolator involves multiple trade-offs. In the literature, different design configurations with nonlinearities have been investigated to limit some of these trade-offs. These include designs with quasi-zero stiffness (QZS) or high-static-low-dynamic stiffness (HSLDS) characteristics. This study investigates three viscoelastic models that incorporate
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Dabiri, Arman, Eric A. Butcher, and Morad Nazari. "Modelling One-Dimensional Fractional Impact Using Basic Fractional Viscoelastic Models." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60339.

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Viscoelastic materials can be mathematically represented using integer- or order models. It has been shown in different studies that modeling a viscoelastic material usually requires an enormous number of parameters. Fractional viscoelastic models have been shown to be advantageous over integer viscoelastic models in the representation of viscoelastic materials, specifically when the system has memory or hereditary property. However, to the authors’ knowledge, no study has yet been done about fractional impact models. Thus, in this paper, fractional modified Kelvin-Voigt model and fractional M
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Amador, Carolina, Matthew W. Urban, Shigao Chen, and James F. Greenleaf. "Acoustic Radiation Force Creep and Shear Wave Propagation Method for Elasticity Imaging." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87622.

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Elasticity imaging methods have been used to study tissue mechanical properties and have demonstrated that tissue elasticity changes with disease state. Quantitative mechanical properties can be measured in a model independent manner if both shear wave speed and attenuation are known. However, measuring shear wave speed attenuation is challenging in the field of elasticity imaging. Typically, only shear wave speed is measured and rheological models, such as Kelvin-Voigt, Maxwell and Standard Linear Solid, are used to solve for shear viscoelastic complex modulus. Acoustic radiation force has be
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