• 제목/요약/키워드: Polymer behavior model

검색결과 285건 처리시간 0.027초

Modeling of nonlinear cyclic response of shear-deficient RC T-beams strengthened with side bonded CFRP fabric strips

  • Hawileh, Rami A.;Abdalla, Jamal A.;Tanarslan, Murat H.;Naser, Mohannad Z.
    • Computers and Concrete
    • /
    • 제8권2호
    • /
    • pp.193-206
    • /
    • 2011
  • The use of Carbon Fiber Reinforced Polymers (CFRP) to strengthen reinforced concrete beams under bending and shear has gained rapid growth in recent years. The performance of shear strengthened beams with externally bonded CFRP laminate or fabric strips is raising many concerns when the beam is loaded under cyclic loading. Such concerns warrant experimental, analytical and numerical investigation of such beams under cyclic loading. To date, limited investigations have been carried out to address this concern. This paper presents a numerical investigation by developing a nonlinear finite element (FE) model to study the response of a cantilever reinforced concrete T-beam strengthened in shear with side bonded CFRP fabric strips and subjected to cyclic loading. A detailed 3D nonlinear finite element model that takes into account the orthotropic nature of the polymer's fibers is developed. In order to simulate the bond between the CFRP sheets and concrete, a layer having the material properties of the adhesive epoxy resin is introduced in the model as an interface between the CFRP sheets and concrete surface. Appropriate numerical modeling strategies were used and the response envelope and the load-displacement hysteresis loops of the FE model were compared with the experimental response at all stages of the cyclic loading. It is observed that the responses of the FE beam model are in good agreement with those of the experimental test. A parametric study was conducted using the validated FE model to investigate the effect of spacing between CFRP sheets, number of CFRP layers, and fiber orientation on the overall performance of the T-beam. It is concluded that successful FE modeling provides a practical and economical tool to investigate the behavior of such strengthened beams when subjected to cyclic loading.

Recent results on the analysis of viscoelastic constitutive equations

  • Kwon, Youngdon
    • Korea-Australia Rheology Journal
    • /
    • 제14권1호
    • /
    • pp.33-45
    • /
    • 2002
  • Recent results obtained for the port-pom model and the constitutive equations with time-strain separability are examined. The time-strain separability in viscoelastic systems Is not a rule derived from fundamental principles but merely a hypothesis based on experimental phenomena, stress relaxation at long times. The violation of separability in the short-time response just after a step strain is also well understood (Archer, 1999). In constitutive modeling, time-strain separability has been extensively employed because of its theoretical simplicity and practical convenience. Here we present a simple analysis that verifies this hypothesis inevitably incurs mathematical inconsistency in the viewpoint of stability. Employing an asymptotic analysis, we show that both differential and integral constitutive equations based on time-strain separability are either Hadamard-type unstable or dissipative unstable. The conclusion drawn in this study is shown to be applicable to the Doi-Edwards model (with independent alignment approximation). Hence, the Hadamardtype instability of the Doi-Edwards model results from the time-strain separability in its formulation, and its remedy may lie in the transition mechanism from Rouse to reptational relaxation supposed by Doi and Edwards. Recently in order to describe the complex rheological behavior of polymer melts with long side branches like low density polyethylene, new constitutive equations called the port-pom equations have been derived in the integral/differential form and also in the simplifled differential type by McLeish and carson on the basis of the reptation dynamics with simplifled branch structure taken into account. In this study mathematical stability analysis under short and high frequency wave disturbances has been performed for these constitutive equations. It is proved that the differential model is globally Hadamard stable, and the integral model seems stable, as long as the orientation tensor remains positive definite or the smooth strain history in the flow is previously given. However cautious attention has to be paid when one employs the simplified version of the constitutive equations without arm withdrawal, since neglecting the arm withdrawal immediately yields Hadamard instability. In the flow regime of creep shear flow where the applied constant shear stress exceeds the maximum achievable value in the steady flow curves, the constitutive equations exhibit severe instability that the solution possesses strong discontinuity at the moment of change of chain dynamics mechanisms.

Predictive model for the shear strength of concrete beams reinforced with longitudinal FRP bars

  • Alzabeebee, Saif;Dhahir, Moahmmed K.;Keawsawasvong, Suraparb
    • Structural Engineering and Mechanics
    • /
    • 제84권2호
    • /
    • pp.143-154
    • /
    • 2022
  • Corrosion of steel reinforcement is considered as the main cause of concrete structures deterioration, especially those under humid environmental conditions. Hence, fiber reinforced polymer (FRP) bars are being increasingly used as a replacement for conventional steel owing to their non-corrodible characteristics. However, predicting the shear strength of beams reinforced with FRP bars still challenging due to the lack of robust shear theory. Thus, this paper aims to develop an explicit data driven based model to predict the shear strength of FRP reinforced beams using multi-objective evolutionary polynomial regression analysis (MOGA-EPR) as data driven models learn the behavior from the input data without the need to employee a theory that aid the derivation, and thus they have an enhanced accuracy. This study also evaluates the accuracy of predictive models of shear strength of FRP reinforced concrete beams employed by different design codes by calculating and comparing the values of the mean absolute error (MAE), root mean square error (RMSE), mean (𝜇), standard deviation of the mean (𝜎), coefficient of determination (R2), and percentage of prediction within error range of ±20% (a20-index). Experimental database has been developed and employed in the model learning, validation, and accuracy examination. The statistical analysis illustrated the robustness of the developed model with MAE, RMSE, 𝜇, 𝜎, R2, and a20-index of 14.6, 20.8, 1.05, 0.27, 0.85, and 0.61, respectively for training data and 10.4, 14.1, 0.98, 0.25, 0.94, and 0.60, respectively for validation data. Furthermore, the developed model achieved much better predictions than the standard predictive models as it scored lower MAE, RMSE, and 𝜎, and higher R2 and a20-index. The new model can be used in future with confidence in optimized designs as its accuracy is higher than standard predictive models.

Adhesion of Model Molecules to Metallic Surfaces, the Implications for Corrosion Protection

  • de Wit, J.H.W.;van den Brand, J.;de Wit, F.M.;Mol, J.M.C.
    • Corrosion Science and Technology
    • /
    • 제7권1호
    • /
    • pp.50-60
    • /
    • 2008
  • The majority of the described experimental results deal with relatively pure aluminium. Variations were made in the pretreatment of the aluminum substrates and an investigation was performed on the resulting changes in oxide layer composition and chemistry. Subsequently, the bonding behavior of the surfaces was investigated by using model adhesion molecules. These molecules were chosen to represent the bonding functionality of an organic polymer. They were applied onto the pretreated surfaces as a monolayer and the bonding behavior was studied using infrared reflection absorption spectroscopy. A direct and clear relation was found between the hydroxyl fraction on the oxide surfaces and the amount of molecules that subsequently bonded to the surface. Moreover, it was found that most bonds between the oxide surface and organic functional groups are not stable in the presence of water. The best performance was obtained using molecules, which are capable of chemisorption with the oxide surface. Finally, it was found that freshly prepared relatively pure aluminum substrates, which are left in air, rapidly lose their bonding capacity towards organic functional groups. This can be attributed to the adsorption of contamination and water to the oxide surface. In addition the adhesion of a typical epoxy-coated aluminum system was investigated during exposure to water at different temperatures. The coating was found to quite rapidly lose its adhesion upon exposure to water. This rapid loss of adhesion corresponds well with the data where it was demonstrated that the studied epoxy coating only bonds through physisorptive hydrogen bonding, these bonds not being stable in the presence of water. After the initial loss the adhesion of the coating was however found to recover again and even exceeded the adhesion prior to exposure. The improvement could be ascribed to the growth of a thin oxyhydroxide layer on the aluminum substrate, which forms a new, water-stable and stronger bond with the epoxy coating. Two routes for improvement of adhesion are finally decribed including an interphasial polymeric thin layer and a treatment in boiling water of the substrate before coating takes place. The adhesion properties were finely also studied as a function of the Mg content of the alloys. It was shown that an enrichment of Mg in the oxide could take place when Mg containing alloys are heat-treated. It is expected that for these alloys the (hydr)oxide fraction also depends on the pre-treatment and on the distribution of magnesium as compared to the aluminium hydroxides, with a direct impact on adhesive properties.

인공 감각모의 동적 거동에 미치는 진동유동의 영향 (Effects of Oscillating Flow on the Dynamic Behavior of an Artificial Sensory Hair)

  • 박병규;이준식
    • 대한기계학회논문집B
    • /
    • 제35권8호
    • /
    • pp.847-853
    • /
    • 2011
  • 주위 매질의 움직임에 반응하는 섬유상 감각모는 대부분의 생물체에 존재하여 먹이, 침입자, 또는 동족 여부를 감지하는 역할을 한다. 이 기능을 모방한 인공 감각모를 설계 제작하기 위하여 유연 감각모를 기초로 한 수학모델을 제안하고, 작동영역에서의 응답특성을 파악하기 위하여 매개변수 해석을 수행하고 각 인자들의 영향을 고찰하였다. 유동 감각모의 변위를 일반화 좌표 및 고유 진동모드로 나타낸 결과, 탄성계수가 비교적 큰 Cytop 감각모의 경우 고유진동의 기본모드가 지배적인 것으로 나타났다. 주어진 유동 중에 있는 감각모의 동적거동은 형상에 크게 의존하였다. 또한 탄성계수가 큰 인공 감각모에서는 생물학적으로 중요한 주파수 범위 내에서 공진현상은 나타나지 않았다.

철계 형상기억합금 스트립으로 보강된 콘크리트 기둥의 반복이력거동 평가 (Hysteretic Behavior Evaluation of Reinforced Concrete Columns Retrofitted with Iron-based Shape Memory Alloy Strips)

  • 정새벽;정동혁
    • 한국전산구조공학회논문집
    • /
    • 제35권5호
    • /
    • pp.287-297
    • /
    • 2022
  • 본 논문에서는 철계형상기억합금(Fe SMA) 스트립으로 능동구속된 콘크리트 기둥의 실험적, 해석적 연구결과를 제시한다. Fe SMA과 탄소섬유보강시트(CFRP)로 각각 구속된 콘크리트 공시체의 압축실험을 통해 형상기억합금 기반 능동구속기법의 효과성을 평가하였다. 실험결과, Fe SMA 스트립으로 구속된 콘크리트 공시체가 낮은 구속력에도 불구하고 CFRP 시트로 구속된 공시체에 비해 더 우수한 변형능력을 가지는 것으로 밝혀졌다. 실험을 통해 얻은 구속된 콘크리트의 압축거동 결과를 이용해 소성힌지 영역이 각각 Fe SMA 스트립과 CFRP 시트로 보강된 콘크리트 기둥의 유한요소모델을 구축하였다. 기존 수행된 콘크리트 기둥의 수평반복가력 실험결과를 바탕으로 구축된 기둥 모델을 검증하였고, 각각의 기둥 모델에 대한 수평반복가력 해석을 수행하였다. 해석결과, Fe SMA 스트립으로 보강된 콘크리트 기둥이 CFRP 시트로 보강된 기둥모델에 비해 변형, 에너지 소산능력 향상에 효과적임을 확인하였다.

유리질 중합체의 균열 Healing에 관한 연구 (제1보) -이론 모델링- (A study on Crack Healing of Various Glassy Polymers (part I) -theoretical modeling-)

  • 이억섭
    • 한국정밀공학회지
    • /
    • 제3권1호
    • /
    • pp.40-49
    • /
    • 1986
  • Crack, craze and void are common defects which may be found in the bulk of polymeric materials such as either themoplastics or thermosets. The healing phenomena, autohesion, of these defects are known to be a intrinsic material property of various polymeric materials. However, only a few experimental and theoretical investigations on crack, void and craze healing phenomena for various polymeric materials have been reported up to date [1, 2, 3]. This may be partly due to the complications of healing processes and lacking of appropriate theoretical developments. Recently, some investigators have been urged to study the healing phenomena of various polymenic materials since the significance of the use of polymer based alloys or composites has been raised in terms of specific strength and energy saving. In the earlier published reports [1, 2, 3, 4], the crack and void healing velocity, healing toughness and some other healing mechanical and physical properties were measured experimentally and compared with predicted values by utilizing a simple model such as the reptation model under some resonable assumptions. It seems, however, that the general acceptance of the proposed modeling analyses is yet open question. The crack healing processes seem to be complicate and highly dependent on the state of virgin material in terms of mechanical and physical properties. Furthermore, it is also strongly dependent on the histories of crack, craze and void development including fracture suface morphology, the shape of void and the degree of disentanglement of fibril in the craze. The rate of crack healing may be a function of environmental factors such as healing temperature, time and pressure which gives different contact configurations between two separated surfaces. It seems to be reasonable to assume that the crack healing processes may be divided in several distinguished steps like stress relaxation with molecular chain arrangement, surface contact (wetting), inter- diffusion process and com;oete healing (to obtain the original strength). In this context, it is likely that we no longer have to accept the limitation of cumulative damage theories and fatigue life if it is probable to remove the defects such as crack, craze and void and to restore the original strength of polymers or polymer based compowites by suitable choice of healing histories and methods. In this paper, we wish to present a very simple and intuitive theoretical model for the prediction of healed fracture toughness of cracked or defective polymeric components. The central idea of this investigation, thus, may be the modeling of behavior of chain molecules under healing conditions including the effects of chain scission on the healing processes. The validity of this proposed model will be studied by making comparisons between theoretically predicted values and experimentally determined results in near future and will be reported elsewhere.

  • PDF

다축응력상태의 구성관계에 기초한 FRP 콘크리트 부재의 층분할 단면해석모델 (Model for fiber Cross-Sectional Analysis of FRP Concrete Members Based on the Constitutive Law in Multi-Axial Stress States)

  • 조창근;김영상;배수호;김환석
    • 콘크리트학회논문집
    • /
    • 제14권6호
    • /
    • pp.892-899
    • /
    • 2002
  • 콘크리트 휨 부재의 내하능력을 개선하는 방법들 중에서, 최근에 와서, 기존의 철근콘크리트 부재에서 사용하는 철근을 대신하여 섬유보강폴리머(FRP) 복합재료 층으로 보강한 콘크리트 부재에 관한 연구가 이루어지고 있다. 본 연구는 휨을 받는 원형단면 FRP 콘크리트 부재의 거동을 예측하기 위한 해석모델에 중점을 두고 있다. FRP층과 내부에 충진된 콘크리트로 이루어진 부재의 응력 및 변형을 예측하기 위하여 층분할 단면해석 모델이 제시되었다. 콘크리트의 압축거동이 횡방향 팽창에 의존한다는 가정과 다축 압축 응력상태의 구성관계에 기초하여 FRP 층으로 둘러 쌓인 콘크리트의 응력변형률 관계를 정식화하였다. 고전적 적층이론에서, FRP 층의 거동은 2차원 적층의 면내거동의 응력-변형률 관계에 기초한 등 가직교재료특성에 기초하여 정식화하였다. 소개된 해석모델의 검증을 위하여 원형단면 FRP 콘크리트 휨 부재의 4점 실험과 비교한 결과, 본 모델은 부재의 모멘트-곡률 관계, 단면에서의 축방향 변형률뿐만 아니라 횡방향 변형률, 그리고 FRP 층으로 인한 콘크리트의 구속효과의 증진에 관한 거동 특성들을 잘 예측해 주었다.

Static performance of a new GFRP-metal string truss bridge subjected to unsymmetrical loads

  • Zhang, Dongdong;Yuan, Jiaxin;Zhao, Qilin;Li, Feng;Gao, Yifeng;Zhu, Ruijie;Zhao, Zhiqin
    • Steel and Composite Structures
    • /
    • 제35권5호
    • /
    • pp.641-657
    • /
    • 2020
  • A unique lightweight string truss deployable bridge assembled by thin-walled fiber reinforced polymer (FRP) and metal profiles was designed for emergency applications. As a new structure, investigations into the static structural performance under the serviceability limit state are desired for examining the structural integrity of the developed bridge when subjected to unsymmetrical loadings characterized by combined torsion and bending. In this study, a full-scale experimental inspection was conducted on a fabricated bridge, and the combined flexural-torsional behavior was examined in terms of displacement and strains. The experimental structure showed favorable strength and rigidity performances to function as deployable bridge under unsymmetrical loading conditions and should be designed in accordance with the stiffness criterion, the same as that under symmetrical loads. In addition, a finite element model (FEM) with a simple modeling process, which considered the multi segments of the FRP members and realistic nodal stiffness of the complex unique hybrid nodal joints, was constructed and compared against experiments, demonstrating good agreement. A FEM-based numerical analysis was thereafter performed to explore the effect of the change in elastic modulus of different FRP elements on the static deformation of the bridge. The results confirmed that the change in elastic modulus of different types of FRP element members caused remarkable differences on the bending and torsional stiffness of the hybrid bridge. The global stiffness of such a unique bridge can be significantly enhanced by redesigning the critical lower string pull bars using designable FRP profiles with high elastic modulus.

점탄성유체의 저항 및 열전달 감소현상과 퇴화의 영향에 관한 연구 (A Study on the Drag and Heat Transfer Reduction Phenomena and Degradation Effects of the Viscoelastic Fluids)

  • 엄정섭;전찬열;유상신
    • 설비공학논문집
    • /
    • 제2권1호
    • /
    • pp.37-48
    • /
    • 1990
  • The drag and heat transfer reduction phenomena and degradation effects of drag reducing polymer solutions which are known as the viscoelastic fluids are investigated experimentally for the turbulent circular tube flows. Two stainless steel tubes are used for the experimental flow loops. Aqueous solutions of Polyacrylamide Separan AP-273 with concentrations from 300 to 1000 wppm are used as working fluids. Flow loops are set up to measure the friction factors and heat transfer coefficients of test tubes in the once-through system and the recirculating flow system. Test tubes are heated by power supply directly to apply constant heat flux boundary conditions on the wall. Capillary tube viscometer and falling ball viscometer are used to measure the viscous characteristics of fluids and the characteristic relaxation time of a fluid is determined by the Powell-Eyring model. The order of magnidude of the thermal entrance length of a drag reducing polymer solution is close to the order of magnitude of the laminar entrance length of Newtonian fluids. Dimensionless heat transfer coefficients of the viscoelastic non-Newtonian fluids may be represented as a function of flow behavior index n and newly defined viscoelastic Graetz number. As degradation continues viscosity and the characteristic relaxation time of the testing fluids decrease and heat transfer coefficients increase. The characteristic relaxation time is used to define the Weissenberg number and variations of friction factors and heat transfer coefficients due to degradation are presented in terms of the Weissenberg number.

  • PDF