• Title/Summary/Keyword: 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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    • v.38 no.2
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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).

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

  • Kang, Tae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.6
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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

  • Son Jung Mo;Pak Hyungsuk
    • Bulletin of the Korean Chemical Society
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    • v.10 no.1
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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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    • v.52 no.1
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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.

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

  • Kim, Kug Weon
    • Journal of the Semiconductor & Display Technology
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    • v.12 no.2
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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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    • v.30 no.4
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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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    • v.1 no.3
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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.

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

  • Kim, W.S.;Hong, S.I.
    • Elastomers and Composites
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    • v.42 no.3
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    • pp.168-176
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    • 2007
  • When the rubber vulcanizates reinforced with carbon black or silica are subjected to cyclic loading from its virgin state, the stress required on reloading is less than that on the initial loading. This stress softening phenomenon is referred to as the Mullins effect. The strain energy function of rubber vulcanizates was investigated using theory of pseudo-elasticity incorporated damage parameter that Ogden and Roxburgh have proposed to describe the damage-induced stress softening effect in rubber-like solids. The quasi-static cyclic loading test was performed using the NR-SBR vulcanizates reinforced with carbon black, and then the effect of a damage parameter to stress-strain curve in reloading and subsequent reloading paths was studied. The strain energy function of the rubber vulcanizates with a different filler content was also evaluated.

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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    • v.12 no.1
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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.

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

  • Kim, Gyeong-Su;Sung, Su-Kyung;Shin, Byeong-Seok
    • Journal of Korea Game Society
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    • v.15 no.5
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    • pp.143-152
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    • 2015
  • Unlike simulating general 'particle-based fluid explosion', simulating fluid with elasticity requires various experimental methods in order to show the realistic deformation of the matter. The existing studies on particle-based viscoelastic fluid only focused on matters' plastic deformation which can be found in mud or paint, based on the maximum distortion energy theory and maximum shear stress theory. However, these former researches could not simulate the brittle deformation which can be seen from silicon or highly elastic rubber when great external forces above limits are applied. This study suggests a brittle simulation method based on the Coulomb-Mohr theory, the idea that a yield occurs when maximum stress on a matter reaches to its rupture stress. This theory has a significant difference from the existing particle-based simulations which measures the forces on a matter by length or volume. Using a strong-elastic semifluid which Coulomb-Mohr theory is applied, realistic deformation process of a matter was observed as its forced surface reached to the rupture stress. When semifluid hit the ground, the impact of deformation can be explained by using Coulomb-Mohr theory.