• 제목/요약/키워드: rubber elasticity theory

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A Study on Existing Rubber Elasticity Theories for Stress-Strain Behavior of Rubber-like Networks

  • Meissner, B.
    • Elastomers and Composites
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    • 제38권2호
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    • pp.157-166
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    • 2003
  • The Edwards-Vilgis slip-link theory and the Kaliske-Heinrich extended tube theory were tested experimentally using published experimental data on networks of natural and isoprene rubber and on polysiloxane networks. All parameters were adjusted to achieve an optimum fit. The data description obtained with the EV theory is not satisfactory and the parameter values tend to lie outside their reasonably expected range. But for the region of low strains, the Kaliske-Heinrich theory offers a satisfactorily accurate data description which is able to serve for practical purposes. Its crosslink term, however, is based on approximations which lead to a questionable prediction and values determined for the exponent in the entanglement term lie outside the range expected by the KH model. Thus, the title question cannot be given a positive answer. Conclusions published earlier that the trapped entanglements contribute both to the crosslink and constraint (entanglement) term are supported by the present data analysis. Experimental equibiaxial data on hydrocarbon networks do not show any maximum on their stretch ratio dependence, contrary to the predictions of molecular theories. The stretch ratio dependences of relative reduced stresses do not sensitively reflect differences in the chemical nature of the chain backbone (hydrocarbon vs. siloxane) and in the crosslinking method (end-linking vs. random crosslinking).

비선형 탄성이론에 기초한 혈관류 생체재료 실험장치 (Rubber-liked Biomaterial Experimental Setup based on Nonlinear Elasticity Theory)

  • 강태원
    • 한국정밀공학회지
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    • 제27권6호
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    • pp.90-97
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    • 2010
  • In order to understand the biomaterial like the blood vessel of artery, there is a need to quantify the biomechanical behavior of the vessel. Using computer-controlled experimental system, the experiment can acquire data such as inner pressure, axial load, diameter and axial gauge length without contacting the specimen. Rubber-liked material which is similar to passive artery was selected as pseudo-biomaterial. Deformations are measured for pressure-diameter curves. The data were collected and stored online to be used in the feedback control of experimental protocols. Finally, the illustrative data obtained from the experimental system were presented and the system shows that strain invariants are controlled to understand the nonlinear elastic behavior of biomaterial which is involved with strain energy function.

Topological Approach to the Rubber Elasticity of Polymer Networks

  • 손정모;박형숙
    • Bulletin of the Korean Chemical Society
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    • 제10권1호
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    • pp.84-96
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    • 1989
  • Applying the topological theory of rubber elasticity which was suggested by K. Iwata to the newly devised body-centered cubic lattice model, the authors calculated the values of four terms of the free energy to form polymer networks. Finding the projection matrix of the BCL model, and comparing this with the values of the simple cubic lattice (abbreviated to SCL hereafter) model of K. Iwata, the authors obtained the stress versus strain curves and found that the curves are in good agreement with the experimental results of poly(dimethyl siloxane) networks.

Theoretical tensile model and cracking performance analysis of laminated rubber bearings under tensile loading

  • Chen, Shicai;Wang, Tongya;Yan, Weiming;Zhang, Zhiqian;Kim, Kang-Suk
    • Structural Engineering and Mechanics
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    • 제52권1호
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    • pp.75-87
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    • 2014
  • To analyze the tension performance of laminated rubber bearings under tensile loading, a theoretical tension model for analyzing the rubber bearings is proposed based on the theory of elasticity. Applying the boundary restraint condition and the assumption of incompressibility of the rubber (Poisson's ratio of the rubber material is about 0.5 according the existing research results), the stress and deformation expressions for the tensile rubber layer are derived. Based on the derived expressions, the stress distribution and deformation pattern especially for the deformation shapers of the free edges of the rubber layer are analyzed and validated with the numerical results, and the theory of cracking energy is applied to analyze the distributions of prediction cracking energy density and gradient direction. The prediction of crack initiation and crack propagation direction of the rubber layers is investigated. The analysis results show that the stress and deformation expressions can be used to simulate the stress distribution and deformation pattern of the rubber layer for laminated rubber bearings in the elastic range, and the crack energy method of predicting failure mechanism are feasible according to the experimental phenomenon.

대면적 UV 임프린팅 공정에서 잔류층 두께 예측 (Prediction of Residual Layer Thickness of Large-area UV Imprinting Process)

  • 김국원
    • 반도체디스플레이기술학회지
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    • 제12권2호
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    • pp.79-84
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    • 2013
  • Nanoimprint lithography (NIL) is the next generation photolithography process in which the photoresist is dispensed onto the substrate in its liquid form and then imprinted and cured into a desired pattern instead of using traditional optical system. There have been considerable attentions on NIL due to its potential abilities that enable cost-effective and high-throughput nanofabrication to the display device and semiconductor industry. 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, with the rolling type imprinting process, a mold, placed upon the $2^{nd}$ generation TFT-LCD glass sized substrate($370{\times}470mm^2$), is rolled by a rubber roller to achieve a uniform residual layer. The prediction of residual layer thickness of the photoresist by rolling of the rubber roller is crucial to design the rolling type imprinting process, determine the rubber roller operation conditions-mpressing force & feeding speed, operate smoothly the following etching process, and so forth. First, using the elasticity theory of contact problem and the empirical equation of rubber hardness, the contact length between rubber roller and mold is calculated with consideration of the shape and hardness of rubber roller and the pressing force to rubber roller. Next, using the squeeze flow theory to photoresist flow, the residual layer thickness of the photoresist is calculated with information of the viscosity and initial layer thickness of photoresist, the shape of mold pattern, feeding speed of rubber roller, and the contact length between rubber roller and mold previously calculated. Last, the effects of rubber roller operation conditions, impressing force & feeding speed, on the residual layer thickness are analyzed with consideration of the shape and hardness of rubber roller.

Mechanical properties and damage constitutive model of self-compacting rubberized concrete

  • Ke, Xiaojun;Xiang, Wannian;Ye, Chunying
    • Computers and Concrete
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    • 제30권4호
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    • pp.257-267
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    • 2022
  • Two different types of rubber aggregates (40 mesh rubber powder and 1-4 mm rubber particles respectively) were devised to substitute fine aggregates at 10%, 15%, 20% and 30% by volume in self-compacting concrete to investigate their basic mechanical properties. The results show that with the increase of rubber content, the reduction of compressive strength, splitting tensile strength and static modulus of elasticity gradually increase, and energy dissipation performance gradually increase. The rubber addition significantly reduces brittleness and decelerates damaged process. Whilst, the effect of rubber particles is greater when they are finer. Considering the mechanical properties, the optimal rubber content is 10%. It is recommended that the rubber volume content in rubberized concrete (RC) should not be higher than 20%. In addition, a constitutive model under uniaxial compression was proposed basing on the strain equivalent principle of Lemaitre and the damage theory, which was in good agreement with the test curves.

Computational modelling for description of rubber-like materials with permanent deformation under cyclic loading

  • Guo, Z.Q.;Sluys, L.J.
    • Interaction and multiscale mechanics
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    • 제1권3호
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    • pp.317-328
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    • 2008
  • When carbon-filled rubber specimens are subjected to cyclic loading, they do not return to their initial state after loading and subsequent unloading, but exhibit a residual strain or permanent deformation. We propose a specific form of the pseudo-elastic energy function to represent cyclic loading for incompressible, isotropic materials with stress softening and residual strain. The essence of the pseudo-elasticity theory is that material behaviour in the primary loading path is described by a common elastic strain energy function, and in unloading, reloading or secondary unloading paths by a different strain energy function. The switch between strain energy functions is controlled by the incorporation of a damage variable into the strain energy function. An extra term is added to describe the permanent deformation. The finite element implementation of the proposed model is presented in this paper. All parameters in the proposed model and elastic law can be easily estimated based on experimental data. The numerical analyses show that the results are in good agreement with experimental data.

응력연화거동을 고려한 고무 재료의 변형률 에너지 함수 결정 (Determination of Strain Energy Function of Rubber Materials Considering Stress Softening Behavior)

  • 김완수;홍성인
    • Elastomers and Composites
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    • 제42권3호
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    • pp.168-176
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    • 2007
  • 카본블랙이나 실리카 등으로 보강된 고무 가황체는 순수한 초기상태에서 하중(부하)를 가하고 제거하는 반복과정에서 응력은 점점 연화되어 초기상태에서 얻어진 응력보다 작게 나타난다. 이러한 응력 연화 현상을 Mullins 효과라고 부른다. 이러한 응력 연화 거동을 이론적으로 표현하기 위하여 Ogden-Roxburgh 등이 손상 파라미터를 이용하여 제안한 pseudo-elastic 개념을 적용하여 보강제가 함유된 고무 가황체의 변형률 에너지 함수를 구하였다. 카본블랙으로 보강된 NR 가황체를 이용하여 준정적 반복 부하 시험을 실시하였으며, pseudo-elastic 모델에서의 손상 파라미터가 제하 및 재 부하 시 응력-변형률 곡선에 어떠한 영향을 주는가와 더불어 손상 파라미터의 두 가지 변수인 r과 m의 물리적 의미를 파악하였다. 또한 보강제 함량을 달리하여 제작한 고무 가황체의 응력연화 변형률 에너지 함수를 결정하고 비교하였다.

Dynamic Mechanical Behavior of Ultra-High Molecular Weight Polyethylene Irradiated with Gamma Rays

  • Lee, Choon-Soo;Jho, Jae-Young;Park, Kuiwon;Hwang, Tae-Won
    • Macromolecular Research
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    • 제12권1호
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    • pp.141-143
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    • 2004
  • We have investigated the dynamic mechanical behavior of ultra-high molecular weight polyethylene (UHMWPE) irradiated with varying doses of gamma rays. A relaxation peak in the loss factor curve, which has not been reported previously in the literature, is observed at a temperature above the crystal melting temperature. The peak is unique to UHMWPE and appears to be related to the high degree of entanglement. Because the temperature and intensity of the peak are reduced by irradiation-induced chain scission and crosslinking, respectively, we believe that the peak is associated with disentanglement relaxation. The behavior of the storage modulus in the melt state agrees with the classical theory of rubber elasticity.

쿨롱-모어 이론을 이용한 강탄성 반유동체 폭발 시뮬레이션 (Simulation of Explosion of the Semi-Fluid with Strong Elasticity Applying Coulomb-Mohr Theory)

  • 김경수;성수경;신병석
    • 한국게임학회 논문지
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    • 제15권5호
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    • pp.143-152
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    • 2015
  • 일반적인 입자 기반 유체 폭발 시뮬레이션과는 다르게 탄성을 지닌 유체의 폭발을 시뮬레이션 하는 경우 물질의 사실적인 변형을 표현하기 위한 여러 가지 특수한 방법이 필요하다. 기존 입자 기반의 점탄성체 연구에서는 물체가 힘을 받아 압축이 되었을 때 한계치 이상의 힘을 받으면 변형되는 최대 변형에너지 이론과 물체의 부피가 일정 수준 이상 줄어들었을 때 변형되는 최대 전단응력 이론을 이용하여 진흙이나 페인트 같이 소성변형을 하는 물체의 변형을 다루었지만 실리콘이나 탄성이 강한 고무줄과 같이 한계치 이상의 힘을 받았을 때 여러 부분으로 쪼개지는 취성변형을 표현하지는 못하였다. 본 논문은 물체가 받은 힘을 변형된 길이나 부피로 표현한 기존의 입자 기반 시뮬레이션과 달리, 힘을 받았을 때 물체에 발생하는 최대응력이 물체의 파단응력에 도달하였을 때 항복이 일어난다는 취성 변형에 적합한 쿨롱-모어 이론을 제안한다. 쿨롱-모어 이론을 적용한 강한 탄성을 가진 반유동체가 힘을 받은 경계면이 파단응력에 도달하였을 때 물체가 현실감 있게 파괴되는 과정을 표현할 수 있음을 확인하였다. 반유동체가 지면에 부딪혀 힘을 받았을 때 쿨롱-모어 이론을 적용하여 물체의 파괴를 표현하였다.