• Title/Summary/Keyword: Mooney-Rivlin Function

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Prediction of Strain Energy Function for Butyl Rubbers (부틸고무의 변형률 에너지 함수 예측)

  • Kim Nam-Woong;Kim Kug-Weon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.10 s.253
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    • pp.1227-1234
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    • 2006
  • Up to now, several mathematical theories based on strain energy functions have been developed for rubber materials. These theories, coupled with the finite element method, can be used very effectively by engineers to analyze and design rubber components. However, due to the complexities of the mathematical formulations and the lack of general guidelines available fur the analysis of rubber components, it is a formidable task for an engineer to analyze rubber components. In this paper a method for predicting strain energy functions - Neo-Hookean model and Mooney-Rivlin model - from the hardness using the empirical equation without any experiment is discussed. First based on the elasticity theories of rubber, the relation between stress and strain is defined. Then for the butyl rubbers, the model constants of Neo-Hookean model and Mooney-Rivlin model are calculated from uniaxial tension tests. From the results, the usefulness of the empirical equation to estimate elastic modulus from hardness is confirmed and, fur Mooney-Rivlin model, the predicted and the experimental model constants are compared and discussed.

A Study on the Large Deformation of Silicon Rubber Gasket with Hollow Circular Section (실리콘 중공 가스켓의 대변형에 관한 연구)

  • 이태원
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.11
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    • pp.150-157
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    • 2003
  • In this paper, the large deformation of hollow silicon rubber gasket is treated. The frictional contact occurs between groove and the outer part of hollow gasket, and the frictional self-contact exists in the inner parts of hollow gasket. The silicon rubber has the nonlinear elastic behavior and its material property is approximately incompressible. Hence, the stress analysis requires an existence of a strain energy function, which is usually defined in terms of invariants or stretch ratio such as generalized Mooney-Rivlin and Ogden model. Considering large compressive deformation and friction, Mooney-Rivlin 3rd model and Coulomb's friction model are assumed. The numerical analysis is obtained by the commercial finite element program MARC. But, due to large deformation, the elements degenerate in the inner parts of hollow gasket. This means that the analysis of subsequent increments is carried out with a very poor mesh. In order to continue the analysis with a sufficient accuracy, it is necessary to use new finite element modeling by remesh. Experiments are also performed to show the validity of present method. As a conclusion, numerical results by this research have good agreements with experiments.

Measurement of Mechanical Material Properties of Rubber Compounds Sampled from a Pneumatic Tire (타이어에서 채취한 고무배합물의 기계적 물성 측정)

  • 김용우;김종국
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.404-409
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    • 2002
  • Pneumatic tires usually contain a variety of rubber compositions, each designed to contribute some particular factor to overall performance. Rubber compounds designed for a specific function will usually be similar but not identical In composition and properties. Since 1970`s finite element analysis of tire has been performed extensively, which requires some energy density functions of rubber components of a tire. The conventional Mooney-Rivlin material model is one of the description that is commonly used in the analysis of tire. In this paper, we report the two material constants of gooney-Rivlin material model for some rubber compounds of a real pneumatic tire, which are obtained through uniaxial tension test.

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The Stiffness Analysis and Optimization of the Rubber Seat Considering Nonlinear Behavior (비선형거동을 고려한 방진고무의 강성해석 및 최적설계)

  • Lee, Dong-Hoon;Seo, Sang-Ho;Yun, Young-Hoon;Park, Jin-Goo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.244-249
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    • 2002
  • Rubber seat is extensively used to reduce the vibration of machine or structure. Over the years an enormous effort has been put into developing procedures to provide properties of rubber material for design function. However, there are still a lot of difficulties to analyze static characteristics of rubber components with hyper elasticity and nonlinear large deformation. In this paper material property is obtained by strain-stress curve using a tension test. Mooney-Rivlin Coefficients are gotten by fitting strain-stress curve. The visco-elastic characteristics of refrigerator rubber mount is determined by using ANSYS. And to minimize the rubber stiffness, the rubber seat shape optimization is performed.

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Structural Robust Design of PEMFC Gasket Using Taguchi Method (다구찌 방법을 이용한 고분자 전해질 연료전지 가스켓의 강건 구조 설계)

  • Yoon, Jin-Young;Park, Jung-Sun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.8
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    • pp.740-746
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    • 2008
  • In this paper, robust structural design of the PEMFC stack gasket is pursued with Taguchi method by considering the noise factor in stack assembly. The study of noise problem in stacking is required to secure the safety and performance improvement of PEMFC stack. The design parameters in the Taguchi method are selected so that the structural responses are insensitive to the noise factors. In the gasket analysis, a Mooney-Rivlin strain energy function is used to consider hyperelasticity between load and displacement. By uni-axial and equi-biaxial tension tests of the gasket, the material properties are determined for the use in robust design of PEMFC gasket. The robust design of the PEMFC stack may provide structural reliability.

Structural Analysis of Gasket and GDL for Enhanced Performance of PEMFC (고분자 전해질 연료전지 가스켓 및 GDL의 구조 해석)

  • Yoon, Jin-Young;Park, Jungsun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.7
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    • pp.642-650
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    • 2008
  • In this paper, structural behavior of Gasket and GDL of a PEMFC stack is studied to improve the performance and to secure the safety. In the Gasket analysis Mooney-Rivlin strain energy function is used to consider hyperelasticity of load and displacement. The material properties is determined by testing specimens of the gasket at uni-axial and equi-biaxial mode and compared with finite element analysis results. By measuring a thickness change, the material property of GDL is determined. The pressure drop of a unit cell is measured along the channel for the clamping force. A cross sectional change of channel base on the experimental data is obtained experimentally and compare with FEM analysis results.

Finite Element Analysis and Fatigue Life Evaluation of Automotive Rubber Insulator (자동차 방진 고무 부품의 유한요소해석 및 피로수명평가)

  • Kim, W.D.;Woo, C.S.;Han, S.W.
    • Elastomers and Composites
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    • v.33 no.3
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    • pp.168-176
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    • 1998
  • A strut rubber insulator is used in a suspension component of passenger cars. The uni-axial tension, compression, and the shear test were performed to acquire the constants of the strain energy functions which were Mooney-Rivlin model and Ogden model. The finite element analysis was executed to evaluate the behavior of deformation and stress distribution by using the commercial finite element code MARC ver K6.2. Also, the fatigue tests were carried out to obtain the fatigue life-load curve. The fatigue failure was initiated at the folded position of rubber, which was the same result predicted by the finite element analysis.

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Estimating Material Parameters of Rubber-liked Material Similar to Biomaterial (생체 유사재료를 설명하는 물질 상수 추정)

  • Kang, Taewon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.1
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    • pp.45-49
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    • 2013
  • It is important to have a well developed strain energy function in order to understand the mechanical behavior of biomaterial like the blood vessel of artery. However, since it is not possible to have a complete form of strain energy function of artery, theoretical framework describing the behaviour of Rubber-like material which is similar to blood vessel is applied to infer useful forms of strain energy function of biomaterial. Based on Chuong-Fung model and Mooney-Rivlin model, material parameters are estimated based on experimental data. From the results, it can be inferred that the estimated parameters can be used to explain the difference of mechanical characteristics between normal vessel and vessel with stent.

Study of stress distribution on bipolar plate of PEM fuel cell (고분자 연료전지의 Bipolar Plate에서의 응력분포에 관한 연구)

  • Heo, Jeong-mu;Sohn, Young-Jun;Park, Gu-Gon;Kim, Min-jin;Yim, Sung-Dae;Nahm, Kee-suk
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.06a
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    • pp.389-391
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    • 2009
  • The performance loss as pressurized by inside components like GDL and bipolar plate happened when assembling the PEMFC stack with clamping force. Numerical analysis of Gasket was carried out to analyze distribution of clamping pressure about the inside components. In case of the gasket, Mooney-Rivlin model which is the Strain Energy Function was used for numerical analysis. This result made the stress distribution of bipolar plate to expect.

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