• Title/Summary/Keyword: Nonlinear viscoelasticity

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A Viscoelastic Constitutive Model of Rubber Under Small Oscillatory Loads Superimposed on Large static Deformation (정적 대변형에 중첩된 미소 동적 하중을 받는 고무재료의 점탄성 구성방식에 관한 연구)

  • Kim, Bong-Gyu;Yun, Seong-Gi
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.4
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    • pp.619-628
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    • 2001
  • A viscoelastic constitutive equation of rubber is proposed under small oscillatory load superimposed on large static deformation. The proposed model is derived through linearization of Simos nonlinear viscoelastic constitutive model and reference configuration transformation. Statically pre-deformed state is used as reference configuration. The model is extended to a generalized viscoelastic constitutive equation including widely-used Mormans model. Static deformation correction factor is introduced to consider the influence of pre-strain on the relaxation function. The model is tested for dynamic behavior of rubbers with different carbon black fractions. It is shown that the constitutive equation with static deformation correction factor agrees well with test results.

Nonlinear Rheological Properties of Endothelial Cell Laden-cellulose Nanofibrils Hydrogels (내피세포가 배양된 나노셀룰로오스 하이드로겔의 비선형 유변물성 분석)

  • Song, Yeeun;Kim, Min-Gyun;Yi, Hee-Gyeong;Lee, Doojin
    • Composites Research
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    • v.35 no.3
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    • pp.153-160
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    • 2022
  • Cellulose nanofibrils (CNF) based on wood pulp fibers are gained much attention as part of biocompatible hydrogels for biomedical applications such as tissue engineering scaffolds, biomedicine, and drug carrier. However, CNF hydrogels have relatively poor mechanical properties, impeding their applications requiring high mechanical integrity. In this work, we prepare 2,2,6,6-tetramethylipiperidin-oxyl (TEMPO) oxidated cellulose nanofibrils hydrogels mediated with metal cations, which form the metal-carboxylate coordination bonds for enhanced mechanical strength and toughness. We conduct the large amplitude oscillatory shear (LAOS) test and Live/dead cell assay for obtaining nonlinear viscoelastic parameters and cell viability, respectively. In particular, the cell proliferation and viability change depending on the type of metal salt, which also affected the rheological properties of the hydrogels.

Numerical Analysis of ]Residual Stresses and Birefringence in Injection/Compression Molded Center-gated Disks (I) - Modeling and Basic Results - (사출/압축 성형 Center-Gated 디스크에서의 잔류 응력과 복굴절의 수치 해석 (I) - 모델링 및 기본 결과 -)

  • Lee, Young-Bok;Kwon, Tai-Hun;Yoon, Kyung-Hwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.11
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    • pp.2342-2354
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    • 2002
  • The present study has numerically predicted both the flow -induced and thermally-induced residual stresses and birefringence in injection o. injection/compression molded center -gated disks. Analysis system for entire molding process was developed based on an ap propriate physical modeling including a nonlinear viscoelastic fluid model, stress-optical law, a linear viscoelastic solid model, free volume theory for density relaxation phenomena and a photoviscoelasticity and so on. Part I presents physical modeling a nd typical numerical analysis results of residual stresses and birefringence in the injection molded center-gated disk. Thermal residual stress was found to be extensional near the center, compressive near the surface and tend to become toward tensional at the surface. A double-hump profile was obtained across the thickness in birefringence distribution: nonzero birefringence is found to be thermally induced, the outer peak is due to the shear flow and subsequent stress relaxation during the filling stage a nd the inner peak is due to the additional shear flow and stress relaxation during the packing stage. Predicted birefringence including both the flow -induced and thermally-induced one becomes quite similar to the experimental one.

Analysis of Temperature Distribution in a Rolling Tire due to Strain Energy Dissipation (회전하는 타이어의 변형에너지 손실에 의한 온도분포 해석)

  • Park, Hyun-Cheol;Youn, Sung-Kie;Song, Tae-Sok;Kim, Nam-Jeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.5
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    • pp.746-755
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    • 1997
  • This paper addresses the systematic procedure using sequential approach for the analysis of the coupled thermo-mechanical behavior of a steady rolling tire. Not only the knowledge of mechanical stresses but also of the temperature loading in a rolling tire are very important because material damage and material properties are significantly affected by the temperature. In general, the thermo-mechanical behavior of a pneumatic tire is highly complex transient phenomenon that requires the solution of a dynamic nonlinear coupled themoviscoelasticity problem with heat source resulting from internal dissipation and friction. In this paper, a sequential approach, with effective calculation schemes, to modeling this system is presented in order to predict the temperature distribution with reasonable sccuracies in a steady state rolling tire. This approach has the three major analysis modules-deformation, dissipation, and thermal modules. In the dissipation module, an analytic method for the calculation of the heat source in a rolling tire is established using viscoelastic theory. For the verification of the calculated temperature profiles and rolling resistance at different velocities, they were compared with the measured ones.

A FINITE-VISCOELASTIC CONTINUUM MODEL FOR RUBBER AND ITS FINITE ELEMENT ANALYSIS

  • Kim, Seung-Jo;Kim, Kyeong-Su;Cho, Jin-Yeon
    • Journal of Theoretical and Applied Mechanics
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    • v.1 no.1
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    • pp.97-109
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    • 1995
  • In this paper, a finite viscoelastic continuum model for rubber and its finite element analysis are presented. This finite viscoelatic model based on continuum mechanics is an extended model of Johnson and Wuigley's 1-D model. In this extended model, continuum based kinematic measures are rigorously defied and by using this kinematic measures, elastic stage law and flow rule are introduced. In kinematics, three configuration are introduced. In kinematics, three configuration are introduced. They are reference, current and virtual visco configurations. In elastic state law, it is assumed that at a certain time, there exists an elastic potential which describes the recoverable elastic energy. From this elastic potential, elastic state law is derived. The proposed flow rule is based on phenomenological observation. The flow rule gives precise relaxation response. In finite element approximation, mixed Lagrangian description is used, where total and similar method of updated Lagrangian descriptions are used together. This approach reduces the numerical job and gives simple nonlinear syatem of equations. To satisfy the incompressible condition, penalty-type modified Mooney-Rivlin energy function is adopted. By this method nearly incompressible condition is obtain the virtual visco configuration. For verification, uniaxial stretch tests are simulated for various stretch rates. The simulated results show good agreement with experiments. As a practical experiments. As a preactical example, pressurized rubber plate is simulated. The result shows finite viscoelastic effects clearly.

Fractal Nature of Magnetic Colloidal Dispersion with Cobalt Iron Oxide and Metal Iron Particles

  • Yoon, Kwan Han;Lee, Young Sil
    • Korean Chemical Engineering Research
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    • v.60 no.1
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    • pp.125-131
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    • 2022
  • The microstructure of highly aggregated colloidal dispersions was investigated by probing the rheological behavior of magnetic suspensions. The dynamic moduli as functions of frequency and strain amplitude are shown to closely resemble that of colloidal gels indicating the formation of network structure. The two types of characteristic critical strain amplitudes, γc and γy, were characterized in terms of the changing microstructure. The amplitude of γc indicates the transition from linear to nonlinear viscoelasticity and depends only on particle volume fraction not magnetic interactions. The study of scaling behavior suggests that it is related to the breakage of interfloc, i.e., floc-floc structure. However, yielding strain, γy, was found to be independent of particle volume fraction as well as magnetic interaction. It relates to extensive deformation resulting in yielding behavior. The scaling of elastic constant, Ge, implies that this yielding behavior and hence γy is due to the breakage of long-range interfloc interactions. Also, the deformation of flocs due to increase strain was indicated from the investigation of the fractal nature.

An Analysis about the Behavior of the Wiper Blade Including Incompressibility (비압축성을 고려한 와이퍼 블레이드의 거동 해석)

  • Chung, Won-Sun;Song, Hyun-Seok;Park, Tae-Won;Jung, Sung-Pil;Kim, Wook-Hyeon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.18 no.2
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    • pp.83-90
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    • 2010
  • The windshield wiper consists of 4 parts: a blade, an arm, a linkage and a motor. The wiper blade makes contact with the windshield and is designed to be operated normally at an angle of 30~50 degrees to the front glass. If the contact pressure between the wiper blade and windshield surface is too high, noise and wear of the rubber will result. On the other hand, if the contact pressure is too low, the performance will do badly, since foreign substances such as dust and stains will not be removed well. The pressure and friction of the wiper blade has a great influence on its effectiveness in cleaning the front window. This is due to the contact of the rubber with the window. This paper presents the dynamic analysis method to estimate the performance of the flat type blade of the wiper system. The blade has a nonlinear characteristic since the rubber is an incompressible hyper-elastic and visco-elastic material. Thus, Structural dynamic analysis using a complex contact model for the blade is performed to find the characteristics of the blade. The flexible multi-body dynamic model is verified by the comparison between test and analysis result. Also, the optimization using the central composite design table is performed.

Analysis of the effect of flow-induced crystallization on the stability of low-speed spinning using the linear stability method

  • Shin Dong Myeong;Lee Joo Sung;Jung Hyun Wook;Hyun Jae Chun
    • Korea-Australia Rheology Journal
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    • v.17 no.2
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    • pp.63-69
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    • 2005
  • The stability of low-speed spinning process exhibiting spinline flow-induced crystallization (FIC) with no neck-like spinline deformation has been investigated using the method of linear stability analysis. Effects of various process conditions such as fluid viscoelasticity and the spinline cooling on the spinning stability have been found closely related to the development of the spinline crystallinity. It also has been found that the FIC makes the system less stable or more unstable than no FIC cases when the spinline crystallinity reaches its maximum possible value, whereas the FIC generally stabilizes the system if the crystallinity doesn't reach its maximum value on the spinline. It is believed that the destabilizing effect of the FIC on low-speed spinning when the crystallinity is fully developed on the spinline is due to the reduction of the real spinning length available for deformation on the spinline. On the other hand, the increased spinline tension caused by the FIC when the maximum crystallinity is not reached on the spinline and thus no reduction in the spinning length occurs, makes the sensitivity of spinline variables to external disturbances smaller and hence stabilizes the system. These linear stability results are consistent with the findings by nonlinear transient simulation, as first reported by Lee et al. (2005b).

An Experimental Study of Nonlinear Viscoelastic Bushing Model for Torsional Mode (비선형 점탄성 부싱모델의 회전방향모드에 대한 실험적 연구)

  • Lee, Seong-Beom;Lee, Sung-Jae;Jun, Sung-Chul;Song, Dong-Ryul;Jeong, Jae-Young;Park, Chan-Seok;Lee, Woo-Hyun
    • Elastomers and Composites
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    • v.43 no.1
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    • pp.25-30
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    • 2008
  • A bushing is a device used in automotive suspension systems to reduce the load transmitted from the wheel to the frame of the vehicle. A bushing is a hollow cylinder, which is bonded to a solid steel shaft at its inner surface and a steel sleeve at its outer surface. The relation between the force and moment applied to the shaft and the relative deformation and rotational angle of a bushing exhibits features of viscoelasticity. Since a moment-rotational angle relation for a bushing is important for multibody dynamics numerical simulations, the simple relation between the moment and rotational angle has been derived from experiment. It is shown that the predictions by the proposed moment-rotational angle relation are in very good agreement with the experimental results.