Academic literature on the topic 'Nonlinear Viscoelastic Models'

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Journal articles on the topic "Nonlinear Viscoelastic Models"

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Renardy, Michael. "Controllability of viscoelastic stresses for nonlinear Maxwell models." Journal of Non-Newtonian Fluid Mechanics 156, no. 1-2 (2009): 70–74. http://dx.doi.org/10.1016/j.jnnfm.2008.06.010.

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Zhang, Will, Adela Capilnasiu, and David Nordsletten. "Comparative Analysis of Nonlinear Viscoelastic Models Across Common Biomechanical Experiments." Journal of Elasticity 145, no. 1-2 (2021): 117–52. http://dx.doi.org/10.1007/s10659-021-09827-7.

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AbstractBiomechanical modeling has a wide range of applications in the medical field, including in diagnosis, treatment planning and tissue engineering. The key to these predictive models are appropriate constitutive equations that can capture the stress-strain response of materials. While most applications rely on hyperelastic formulations, experimental evidence of viscoelastic responses in tissues and new numerical techniques has spurred the development of new viscoelastic models. Classical as well as fractional viscoelastic formulations have been proposed, but it is often difficult from the
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Eshmatov, Bakhtiyor, and Subrata Mukherjee. "Nonlinear Vibrations of Viscoelastic Composite Cylindrical Panels." Journal of Vibration and Acoustics 129, no. 3 (2006): 285–96. http://dx.doi.org/10.1115/1.2730532.

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This paper is devoted to mathematical models of problems of nonlinear vibrations of viscoelastic, orthotropic, and isotropic cylindrical panels. The models are based on Kirchhoff-Love hypothesis and Timoshenko generalized theory (including shear deformation and rotatory inertia) in a geometrically nonlinear statement. A choice of the relaxation kernel with three rheological parameters is justified. A numerical method based on the use of quadrature formulas for solving problems in viscoelastic systems with weakly singular kernels of relaxation is proposed. With the help of the Bubnov-Galerkin m
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Woo, S. L. Y., G. A. Johnson, R. E. Levine, and K. R. Rajagopal. "Viscoelastic Models for Ligaments and Tendons." Applied Mechanics Reviews 47, no. 6S (1994): S282—S286. http://dx.doi.org/10.1115/1.3124424.

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Ligaments and tendons serve a variety of important functions in the human body. Many experimental studies have focused on understanding their mechanical behavior, mathematical modeling has also contributed important information. This paper presents a brief review of viscoelastic models that have been proposed to describe the nonlinear and time-dependent behavior of ligaments and tendons. Specific attention is devoted to quasi-linear viscoelasticity (QLV) and to our most recent approach, the single integral finite strain model (SIFS) which incorporates constitutive modeling of microstructural c
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Sridharan, Srinivasan. "Nonlinear Viscoelastic Analysis of Composites using Competing Micromechanical Models." Journal of Composite Materials 40, no. 3 (2005): 257–82. http://dx.doi.org/10.1177/0021998305053435.

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Provenzano, P. P., R. S. Lakes, D. T. Corr, and R. Vanderby. "Application of nonlinear viscoelastic models to describe ligament behavior." Biomechanics and Modeling in Mechanobiology 1, no. 1 (2002): 45–57. http://dx.doi.org/10.1007/s10237-002-0004-1.

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Haslach, Henry W. "Nonlinear viscoelastic, thermodynamically consistent, models for biological soft tissue." Biomechanics and Modeling in Mechanobiology 3, no. 3 (2004): 172–89. http://dx.doi.org/10.1007/s10237-004-0055-6.

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Sepiani, Hossein, Maria Anna Polak, and Alexander Penlidis. "Finite element implementation of viscoelastic and viscoplastic models." Engineering Computations 37, no. 8 (2020): 2561–85. http://dx.doi.org/10.1108/ec-02-2019-0062.

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Purpose The purpose of this study is to present a finite element (FE) implementation of phenomenological three-dimensional viscoelastic and viscoplastic constitutive models for long term behaviour prediction of polymers. Design/methodology/approach The method is based on the small strain assumption but is extended to large deformation for materials in which the stress-strain relation is nonlinear and the concept of incompressibility is governing. An empirical approach is used for determining material parameters in the constitutive equations, based on measured material properties. The modelling
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Capilnasiu, Adela, Lynne Bilston, Ralph Sinkus, and David Nordsletten. "Nonlinear viscoelastic constitutive model for bovine liver tissue." Biomechanics and Modeling in Mechanobiology 19, no. 5 (2020): 1641–62. http://dx.doi.org/10.1007/s10237-020-01297-5.

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Abstract Soft tissue mechanical characterisation is important in many areas of medical research. Examples span from surgery training, device design and testing, sudden injury and disease diagnosis. The liver is of particular interest, as it is the most commonly injured organ in frontal and side motor vehicle crashes, and also assessed for inflammation and fibrosis in chronic liver diseases. Hence, an extensive rheological characterisation of liver tissue would contribute to advancements in these areas, which are dependent upon underlying biomechanical models. The aim of this paper is to define
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SODA, Satsuya, Kazushige KAKIMOTO, and Eiichi SEKIYA. "MECHANICAL MODELS FOR SOFTENING AND HARDENING TYPE NONLINEAR VISCOELASTIC DAMPERS." Journal of Structural and Construction Engineering (Transactions of AIJ) 67, no. 551 (2002): 45–52. http://dx.doi.org/10.3130/aijs.67.45_1.

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Dissertations / Theses on the topic "Nonlinear Viscoelastic Models"

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Sopakayang, Ratchada. "Viscoelastic Models for Ligaments and Tendons." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/77298.

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Collagenous tissues such as ligaments and tendons are viscoelastic materials. They exhibit a slow continuous increase in strain over time, or creep, when subjected to a constant stress and a slow continuous decrease in stress over time, or stress relaxation, when subjected to a constant strain. Moreover, the loading and unloading stress-strain curves are different when the tissues are subjected to cyclic loading, showing hysteresis and softening phenomena. The micro-structural origin of the viscoelasticity of these tissues is still unknown and the subject of debate among experts in biomechanic
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Davis, Frances Maria. "Nonlinear Viscoelastic Behavior of Ligaments and Tendons: Models and Experiments." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/50939.

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Ligaments and tendons are rope-like structures in our body that possess time- and history- dependent material properties. Despite the many advances made in experimental and theoretical biomechanics, the material properties of these biological structures are still not fully characterized. This dissertation represents a step forward in the development of combined theoretical and experimental tools that capture the time- and history-dependent material properties of ligaments and tendons.<br /><br />The mechanical behavior of bundles of collagen fibers which form ligaments and tendons was investig
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Muliana, Anastasia Hanifah. "Integrated Micromechanical-Structural Framework for the Nonlinear Viscoelastic Behavior of Laminated and Pultruded Composite Materials and Structures." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5142.

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This study introduces a new three-dimensional (3D) multi-scale constitutive framework for the nonlinear viscoelastic analysis of laminated and pultruded composites. Two previously developed nonlinear micromechanical models for unidirectional and in-plane random composite layers are modified to include time-dependent and nonlinear behavior. A new recursive-iterative numerical integration method is introduced for the Schapery nonlinear viscoelastic model and is used to model the isotropic matrix subcells in the two micromodels. In addition, a sublaminate model is used to provide for a through
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Duque, Luiz Heleno Moreira. "Modelo dinâmico da coluna lombar humana, com solicitação de esforço postero-anterior : análise com rigidez viscoelástica não linear /." Guaratinguetá : [s.n.], 2006. http://hdl.handle.net/11449/105363.

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Orientador: Tamotsu Hirata<br>Banca: José Elias Tomazini<br>Banca: Luiz Fernando Costa Nascimento<br>Resumo: Um modelo fundamentado nos sistemas multicorpos, com sete corpos rígidos e oito corpos flexíveis, com três graus de liberdade para cada um dos corpos rígidos está sendo proposto. Os corpos rígidos são providos de inércia e os corpos flexíveis trabalham como juntas e não são providos de inércia. A solução numérica do modelo foi obtida com o método Runge-Kutta. Os parâmetros de influência, curvatura inicial da espinha lombar, posições dos centros geométricos das vértebras, tórax e da sacr
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Duque, Luiz Heleno Moreira [UNESP]. "Modelo dinâmico da coluna lombar humana, com solicitação de esforço postero-anterior: análise com rigidez viscoelástica não linear." Universidade Estadual Paulista (UNESP), 2006. http://hdl.handle.net/11449/105363.

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Made available in DSpace on 2014-06-11T19:34:58Z (GMT). No. of bitstreams: 0 Previous issue date: 2006-04-24Bitstream added on 2014-06-13T19:04:57Z : No. of bitstreams: 1 duque_lhm_dr_guara.pdf: 1861000 bytes, checksum: 826224c8ed71ff732f9aa6af40eab143 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Um modelo fundamentado nos sistemas multicorpos, com sete corpos rígidos e oito corpos flexíveis, com três graus de liberdade para cada um dos corpos rígidos está sendo proposto. Os corpos rígidos são providos de inércia e os corpos flexíveis trabalham como juntas
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Huang, Chien-Wei. "Development and numerical implementation of nonlinear viscoelastic-viscoplastic model for asphalt materials." [College Station, Tex. : Texas A&M University, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-3137.

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Chen, Xuewen. "A Nonlinear Viscoelastic Mooney-Rivlin Thin Wall Model for Unsteady Flow in Stenosis Arteries." Digital WPI, 2003. https://digitalcommons.wpi.edu/etd-theses/229.

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Severe stenosis may cause critical flow conditions related to artery collapse, plaque cap rupture which leads directly to stroke and heart attack. In this paper, a nonlinear viscoelastic model and a numerical method are introduced to study dynamic behaviors of the tube wall and viscous flow through a viscoelastic tube with a stenosis simulating blood flow in human carotid arteries. The Mooney-Rivlin material model is used to derive a nonlinear viscoelastic thin-wall model for the stenotic viscoelastic tube wall. The mechanical parameters in the Mooney-Rivlin model are calculated from experime
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Selcher, Patricia Willice. "Development of a power-law crack growth model for a rocket motor propellant exhibiting nonlinear viscoelastic behavior." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/17829.

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Chea, Limdara O. Knauss Wolfgang Gustav Knauss Wolfgang Gustav. "Finite element simulation and analysis of local stress concentration in polymers with a nonlinear viscoelastic constitutive model /." Diss., Pasadena, Calif. : California Institute of Technology, 1997. http://resolver.caltech.edu/CaltechETD:etd-01082008-095104.

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Groth, Kevin M. "Nonlinear Lumped-Parameter Model of the Lumbar Intervertebral Disc: A Study on Viscoelastic Deformation and Three-Dimensional Modeling of the Spine." Thesis, Virginia Tech, 2007. http://hdl.handle.net/10919/34313.

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Due to the mathematical complexity of current musculoskeletal spine models, there is a need for computationally-efficient models of the intervertebral disc (IVD). The aim of this study is to develop a mathematical model that will adequately describe the motion of the IVD under axial cyclic loading and three-dimensional quasi-static loading as well as maintain computational efficiency for use in future musculoskeletal spine models. <p> A viscoelastic standard nonlinear solid (SNS) model is introduced within this study. It was developed to predict the axial response of the human lumbar IVD
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Books on the topic "Nonlinear Viscoelastic Models"

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Wang, Min. Three-dimensional, nonlinear viscoelastic analysis of laminated composites: A finite element approach. 1993.

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Wang, Min. Three-dimensional, nonlinear viscoelastic analysis of laminated composites: A finite element approach. 1993.

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Book chapters on the topic "Nonlinear Viscoelastic Models"

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Tscharnuter, D., S. Gastl, and G. Pinter. "A Pressure-Dependent Nonlinear Viscoelastic Schapery Model for POM." In Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-4241-7_20.

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Mikhlin, Yu V., and B. I. Morgunov. "Normal Vibrations in Near-Conservative Self-Excited and Viscoelastic Nonlinear Systems." In Normal Modes and Localization in Nonlinear Systems. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-2452-4_2.

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Abcha, Nizar, Fayçal Kelai, Noureddine Latrache, Olivier Crumeyrolle, and Innocent Mutabazi. "Radial Propagation of the Instability Modes Observed in a Viscoelastic Couette–Taylor Flow." In Nonlinear Waves and Pattern Dynamics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78193-8_11.

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Horiuti, Kiyosi. "Analogy between Subgrid-Scale Nonlinear Model and Constitutive Equations for Viscoelastic Fluids." In Direct and Large-Eddy Simulation V. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2313-2_30.

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Hamim, Salah U., and Raman P. Singh. "Parameter Identification of Nonlinear Viscoelastic Material Model Using Finite Element-Based Inverse Analysis." In Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42255-8_19.

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Nguyen, T. D. "A Comparison of a Nonlinear and Quasilinear Viscoelastic Anisotropic Model for Fibrous Tissues." In IUTAM Symposium on Cellular, Molecular and Tissue Mechanics. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3348-2_2.

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Arabnejad, Saeid, Manouchehr Salehi, and Hamed Farahmand. "A Finite Element Solution for Transient Wave Propagation in an Infinite Circular Plate With Nonlinear Viscoelastic Model." In Materials with Complex Behaviour II. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-22700-4_3.

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Drozdov, Aleksey D. "Nonlinear Constitutive Models with Small Strains." In Viscoelastic Structures. Elsevier, 1998. http://dx.doi.org/10.1016/b978-012222280-1/50003-5.

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Drozdov, Aleksey D. "Nonlinear Constitutive Models with Finite Strains." In Viscoelastic Structures. Elsevier, 1998. http://dx.doi.org/10.1016/b978-012222280-1/50004-7.

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RAHOUADJ, RACHID, and CHRISTIAN CUNAT. "A Nonlinear Viscoelastic Model Based on Fluctuating Modes." In Handbook of Materials Behavior Models. Elsevier, 2001. http://dx.doi.org/10.1016/b978-012443341-0/50011-9.

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Conference papers on the topic "Nonlinear Viscoelastic Models"

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Thompson, Roney, Gilmar MOMPEAN, and Angela Nieckele. "Nonlinear eddy viscosity models for viscoelastic turbulence." In 24th ABCM International Congress of Mechanical Engineering. ABCM, 2017. http://dx.doi.org/10.26678/abcm.cobem2017.cob17-1033.

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Solis-Ortega, Rodrigo D., Abbas A. Dehghani-Sanij, and Uriel Martinez-Hernandez. "The Assessment of Viscoelastic Models for Nonlinear Soft Materials." In 2018 7th IEEE International Conference on Biomedical Robotics and Biomechatronics (Biorob). IEEE, 2018. http://dx.doi.org/10.1109/biorob.2018.8487205.

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Nasuno, H., and N. Shimizu. "Nonlinear Statical and Dynamical Models of Fractional Derivative Viscoelastic Body." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84336.

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The authors have been conducting experiments on the investigation of nonlinear quasi-statical and dynamical behaviors of a viscoelastic body described by the fractional derivative law. Pre-stress due to pre-displacement induces high damping performance during sinusoidal excitation. To understand this behavior, nonlinear statical and dynamical models are investigated by theoretical consideration. The authors establish and propose appropriate models to describe the nonlinear behavior of the fractional derivative viscoelastic body. The nonlinearity of the viscoelastic coefficient for quasi-static
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Azizi, Yousof, Patricia Davies, and Anil K. Bajaj. "Identification of Nonlinear Viscoelastic Models of Flexible Polyurethane Foam From Uniaxial Compression Data." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-88190.

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Flexible polyethylene foam, which is used in many engineering applications, exhibits nonlinear and viscoelastic behavior. To date, several models have been proposed to characterize the complex behavior of foams from the computationally intensive microstructural models to continuum models that capture the macroscale behavior of the foam materials. A nonlinear viscoelastic model, which is an extension of previously developed models, is proposed and its ability to capture foam response in uniaxial compression is investigated. It is assumed in the model that total stress is decomposed into the sum
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Braghin, Francesco, Elisabetta Leo, and Edoardo Sabbioni. "A Nonlinear Viscoelastic Model of a Hydraulic Bushing for Multi-Body Vehicle Models." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84597.

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The present paper deals with the development and identification of a new dynamic model of an hydraulic bushing. The peculiarity and the difficulty of such a bushing is its highly nonlinear behavior. In fact, common linear rheological models are not able to realistically reproduce the relation between applied displacements and reaction forces. A nonlinear viscoelastic model presents significant difficulties in the identification of its parameters since no frequency based approach is feasible. Thus, special multi-step identification procedures have to be implemented. The adoption of such a nonli
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Vidal-Lesso, A., E. Ledesma-Orozco, R. Lesso-Arroyo, and L. Daza-Benitez. "Nonlinear Dynamic Viscoelastic Model for Osteoarthritic Cartilage Indentation Force." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-64387.

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Biomechanical properties and dynamic response of soft tissues as articular cartilage remains issues for attention. Currently, linear isotropic models are still used for cartilage analysis in spite of its viscoelastic nature. Therefore, the aim of this study was to propose a nonlinear viscoelastic model for cartilage indentation that combines the geometrical parameters and velocity of the indentation test with the thickness of the sample as well as the mechanical properties of the tissue changing over time due to its viscoelastic behavior. Parameters of the indentation test and mechanical prope
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Davis, Frances M., and Raffaella De Vita. "A Nonlinear Viscoelastic Model for the Relaxation Behavior of Tendon." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80050.

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Tendons are viscoelastic materials which undergo stress relaxation when held at a constant strain. The most successful model used to describe the viscoelastic behavior of tendons is the quasi-linear viscoelastic (QLV) model [1]. In the QLV model, the relaxation function is assumed to be a separable function of time and strain. Recently, this assumption has been shown to be invalid for tendons [2] thus suggesting the need for new nonlinear viscoelastic models.
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Kim, J. W., J. H. Kyoung, A. Sablok, and K. Lambrakos. "A Nonlinear Viscoelastic Model for Polyester Mooring Line Analysis." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50280.

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A viscoelastic model considering multiple relaxation times and nonlinearity in dynamic stiffness has been developed. The model is based on the Maxwell-Wiechert model, which is an extension of an earlier model based on the standard linear solid (SLS) model. The time-dependent elastic modulus of polyester rope is represented by a 4-term Prony series (MW4 model). Relaxation times and coefficients of the Prony series have been determined from test data of dynamic stiffness at different loading periods. Nonlinearity in dynamic stiffness is considered by iteratively adjusting the dynamic stiffness o
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Kim, Jeong Sik, Anastasia Muliana, and Kamran Khan. "A Homogenization Scheme for Nonlinear Viscoelastic Behaviors of Particulate Reinforced Composites." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13598.

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The present study introduces a micromechanical model for predicting nonlinear viscoelastic responses of composite systems reinforced with solid spherical micro particles. The composite microstructures are simplified with uniformly distributed cubic particles over an infinite medium. The representative volume element (RVE) consists of a single particle embedded in the cubic matrix. One eighth unit-cell model with four particle and polymer subcells is generated. The solid spherical particle is modeled as linear elastic, while the polymer follows nonlinear viscoelastic material responses. The hom
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Laksari, Kaveh, Mehdi Shafieian, Kurosh Darvish, and Keyanoush Sadeghipour. "Shock Wave Propagation as a Mechanism of Injury in Nonlinear Viscoelastic Soft Tissues." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-64717.

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This study investigates the propagation of shock waves and self-preserving waves in soft tissues such as brain as a mechanism of injury in high rate loading conditions as seen in blast-induced neurotrauma (BINT). The derived mathematical models indicate that whereas linear viscoelastic models predict only decaying waves, instances of such phenomena as shock can be achieved in nonlinear media. In this study, a nonlinear viscoelastic material model for brain tissue was developed in compression. Furthermore, nonlinear viscoelastic wave propagation in brain tissue was studied and a criterion for t
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