• Title/Summary/Keyword: hyperelastic

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Biomechanical Characterization with Inverse FE Model Parameter Estimation: Macro and Micro Applications (유한요소 모델 변수의 역 추정법을 이용한 생체의 물성 규명)

  • Ahn, Bum-Mo;Kim, Yeong-Jin;Shin, Jennifer H.;Kim, Jung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.11
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    • pp.1202-1208
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    • 2009
  • An inverse finite element (FE) model parameter estimation algorithm can be used to characterize mechanical properties of biological tissues. Using this algorithm, we can consider the influence of material nonlinearity, contact mechanics, complex boundary conditions, and geometrical constraints in the modeling. In this study, biomechanical experiments on macro and micro samples are conducted and characterized with the developed algorithm. Macro scale experiments were performed to measure the force response of porcine livers against mechanical loadings using one-dimensional indentation device. The force response of the human liver cancer cells was also measured by the atomic force microscope (AFM). The mechanical behavior of porcine livers (macro) and human liver cancer cells (micro) were characterized with the algorithm via hyperelastic and linear viscoelastic models. The developed models are suitable for computing accurate reaction force on tools and deformation of biomechanical tissues.

Multiscale modeling of elasto-viscoplastic polycrystals subjected to finite deformations

  • Matous, Karel;Maniatty, Antoinette M.
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.375-396
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    • 2009
  • In the present work, the elasto-viscoplastic behavior, interactions between grains, and the texture evolution in polycrystalline materials subjected to finite deformations are modeled using a multiscale analysis procedure within a finite element framework. Computational homogenization is used to relate the grain (meso) scale to the macroscale. Specifically, a polycrystal is modeled by a material representative volume element (RVE) consisting of an aggregate of grains, and a periodic distribution of such unit cells is considered to describe material behavior locally on the macroscale. The elastic behavior is defined by a hyperelastic potential, and the viscoplastic response is modeled by a simple power law complemented by a work hardening equation. The finite element framework is based on a Lagrangian formulation, where a kinematic split of the deformation gradient into volume preserving and volumetric parts together with a three-field form of the Hu-Washizu variational principle is adopted to create a stable finite element method. Examples involving simple deformations of an aluminum alloy are modeled to predict inhomogeneous fields on the grain scale, and the macroscopic effective stress-strain curve and texture evolution are compared to those obtained using both upper and lower bound models.

A Finite Element Analysis for Near-net-shape Forming of A16061 Powder under Warm Pressing (온간 성형 하에서 A1 합금 분말의 정밀정형에 대한 유한요소해석)

  • Kim, Jong-Kwang;Yang, Hoon-Chul;Kim, Ki-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.11
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    • pp.1897-1906
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    • 2003
  • A finite element analysis for near-net-shape forming of A16061 powder was performed under warm rubber isostatic pressing and warm die pressing. The advantages of warm compaction by rubber isostatic pressing were discussed to obtain a part with better density distributions. The shape of rubber mold was designed by determining a cavity shape that provides a desired shape of the final powder compact. To simulate densification and deformed shape of a powder compact during pressing, the elastoplastic constitutive equation based on yield function of Shima-Oyane was implemented into a finite element program(ABAQUS). The hyperelastic constitutive equation based on the Ogden strain energy Potential was employed to analyze nonlinear elastic response of rubber. Finite element results were compared with experimental data for Al6061 powder compacts under warm die pressing and warm isostatic pressing.

Biomechanical evaluation of menisectomy using finite element method (유한요소 해석법을 이용한 반월상 연골 절제술의 생체역학적 평가)

  • Bae, Ji-Yong;Park, Jin-Hong;Song, Eun-Kyoo;Park, Sang-Jin;Jeon, In-Su
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1471-1472
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    • 2008
  • To analyze biomechanical effects of various types of menisectomy in the knee joint, the contact area and pressure distribution of intact the knee joint and the operated by various menisectomies were studied by using finite element method their results are compared with each other. In this study, the femur, the tibia, the articular cartilage and the menisci were three dimensionally reconstructed using MR Images of healthy knee joint in full extension of 26 years old male. Also, three dimensional finite element model of the knee joint was constructed including the models of ligaments and tendons on the reconstructed three dimensional model. Bones were considered to be rigid, articular cartilage and menisci were considered as homogeneous, isotropic and linearly elastic materials and ligaments and tendons were modeled as hyperelastic materials. Based on the results, the effects of various types of menisectomy on the knee joints are clearly elucidated.

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A Study on Finite Element Analysis and Aging Test for Automotive Grommet (자동차 그로멧의 유한요소해석 및 노화시험에 대한 연구)

  • Lee, Seong-Beom;Yeom, Sang-Hoon;Han, Chang-Yong;Woo, Chang-Su
    • Elastomers and Composites
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    • v.47 no.3
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    • pp.201-209
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    • 2012
  • Grommet is one of the Automotive rubber components and is made from EPDM(Ethylene Propylene Diene monomer M-class) rubber and the nonlinear hyperelastic material properties of rubber are important to predict the behavior of rubber product. In this study, the stable stress-strain relations were obtained from the uni-axial tension test and the equi-biaxial tension test. Finite element analysis for grommet was carried out and heat aging test for the lifetime prediction of grommet was introduced.

F.E. Analysis of the Radial Tire Inflation Using the Hyperelastic Properties of Rubber Compounds Sampled from a Tire (타이어 고무배합물의 초탄성을 고려한 레이디얼 타이어의 팽창에 관한 유한요소해석)

  • 김용우;김종국
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.4
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    • pp.125-134
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    • 2003
  • In this study, Mooney-Rivlin 1st model and Mooney-Rivlin 3rd model are adopted as strain energy density functions of the rubber compounds of a radial tire. It is shown that the FE analysis using Mooney-Rivlin models for rubber compounds may provide good approximations by employing the appropriate strain range of experimental stress-strain data in a way to describe the stress-strain relationship accurately. Especially, Mooney-Rivlin 3rd model gives an accurate stress-strain relationship regardless of the fitting strain range used within the strain of 100%. The static nonlinear FE analysis of a tire inflation is performed by employing an axisymmetric model, which shows that the outside shapes of the tire before and after inflating the tire agree well with those of the real tire. Additionally, the deformations at crown center and turning point on sidewall, distribution of belt cord force, interlaminar shear strain are predicted in terms of variation of belt cord angle which is known as the most influential factor in inflation behavior of a tire.

A Study on Design Sensitivity of Elastomeric O-ring Squeezed and Highly Pressurized Under Laterally One-sided Constrained Condition (단 측벽 구속하에서 압축 및 내압을 받는 고무 오링의 설계 민감도 연구)

  • Park, Sung-Han;Kim, Jae-Hoon;Kim, Won-Hoon
    • Journal of the Korean Society of Safety
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    • v.22 no.6
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    • pp.27-34
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    • 2007
  • Static or dynamic elastomeric O-ring seals are installed between joining parts, and play key roles of high pressure-tightening. Sealing performance and structural safety of the O-ring are dependent on groove design, plain diameter, squeeze and applications such as pressure and temperature. In this study, to solve O-ring problem squeezed and highly pressurized under laterally one-sided constrained condition, hyperelastic FE analyses are performed, and FE results are compared with measured ones by computer-aided tomography, deformed shape and extrusion depth of the O-ring. Through the comparisons, FE analysis technique was verified. In order to evaluate design sensitivity, Taguchi method was used to select FE analysis cases. Adjustment parameters are clearance gap, groove comer radius, plain diameter and squeeze. By means of verified FE analysis technique, it has been analysed how the parameters have effects on contact stress fields, internal stress fields, and extrusion depths. Sealing performance has been evaluated based on contact stress fields and contact widths, and structural safety on internal stress and strain, extrusion lengths.

A Study on the Structural Characteristics of the Hollow Casket made of Silicon Rubber (실리콘 중공 가스켓의 구조적 특성에 관한 연구)

  • Lee, Seung-Ha;Lee, Tae-Won;Sim, Woo-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.10
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    • pp.2044-2051
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    • 2002
  • In this paper, the deformed shape, the contact forces and the load-displacement curves of the real hollow gasket made of silicon rubber are analyzed using a commercial finite element program MARC. In the numerical analysis, the silicon rubber is assumed to have the properties of the geometric and material nonlinearity and the incompressibility, and the hyperelastic constitutive relations of that material are represented by the generalized Mooney-Rivlin and Ogden models. The outer frictional contact between the hollow gasket and the groove of rigid container and the inner self-contact of the hollow gasket are taken into account in the course of numerical computation. Experiments are also performed to obtain the material data for numerical computation and to show the validity of the mechanical deformation of the hollow gasket, resulting in good agreements between them.

Finite Element Analysis for the Variation of Carcass Tension Distribution to the Sidewall-Radius Change (Sidewall 반경변화에 따른 Carcass 장력분포 변동 추이에 관한 유한요소 해석)

  • Jo, Jin-Rae;Jeong, Hyeon-Seong;Lee, Hong-U;Kim, Nam-Jeon;Kim, Gi-Un
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.6
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    • pp.980-987
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    • 2001
  • Tire performance is significantly influenced by the carcass tension distribution that is governed by the sidewall contour. To maximize the tire performance, it is very important for one to find the sidewall contour with the ideal tension distribution. But it is not easy to find such an optimal sidewall contour. Therefore, in order for a successful tire-shape optimization, we need to investigate how the change of sidewall radius influences on the carcass tension distribution. In this paper, we intend to numerically investigate the relation between the sidewall-radius change and the carcass tension distribution.

Pressure Distribution by Rubber Roller in Large-area UV Imprinting Lithography Process (대면적 UV 임프린팅 공정에서 고무 롤러에 의한 압력분포)

  • Kim, Nam-Woong;Kim, Kug-Weon;Lee, Woo-Young
    • Journal of the Semiconductor & Display Technology
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    • v.9 no.2
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    • pp.91-96
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    • 2010
  • In recent years there have been considerable attentions on nanoimprint lithography (NIL) by the display device and semiconductor industry due to its potential abilities that enable cost-effective and high-throughput nanofabrication. Although one of the current major research trends of NIL is large-area patterning, the technical difficulties to keep the uniformity of the residual layer become severer as the imprinting area increases more and more. In this paper we consider the roll-to-plate type imprinting process. In the process a glass mold, which is placed upon the 2nd generation TFT-LCD glass sized substrate(370${\yen}$470 mm), is rolled by a rubber roller to achieve a uniform residual layer. The pressure distribution on the glass mold by rolling of the rubber roller is crucial information to analyze mold deformation, transferred pattern quality, uniformity of residual layer and so forth. In this paper the quantitative pressure distribution induced by rolling of the rubber roller was calculated with finite element analysis under the assumption of Neo-Hookean hyperelastic constitutive relation. Additionally the numerical results were verified by the experiments.