• 제목/요약/키워드: Constitutive relation

검색결과 166건 처리시간 0.033초

Dynamic recrystallization and microstructure evolution of a Nb-V microalloyed forging steel during hot deformation

  • Zhao, Yang;Chen, Liqing;Liu, Xianghua
    • Advances in materials Research
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    • 제3권4호
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    • pp.217-225
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    • 2014
  • In this study, a forging steel alloyed with both Nb and V was used as experimental material and the hot deformation behavior has been studied for this steel by conducting the compressive deformation test at temperature of $900-1150^{\circ}C$ and strain rate of $0.01-0.01s^{-1}$ in a MMS-300 thermo-mechanical simulator. The microstructure evolution, particularly the dynamically recrystallized microstructure, of the experimental steel at elevated temperatures, strain rates and strain levels, was characterized by optical microstructural observation and the constitutive equation in association with the activation energy and Zener-Hollomon parameter. The curves of strain hardening rate versus stress were used to determine the critical strain and peak strain, and their relation was connected with Zener-Hollomon parameter. Under the conditions of processing temperature $900^{\circ}C$ and strain rate $0.01s^{-1}$, the dynamic recrystallization took place and the austenite grain size was refined from $164.5{\mu}m$ to $28.9{\mu}m$.

변형량 기울기 이론이 조합된 이중후방응력 경화모델에서의 국부적 소성변형 (Localized Plastic Deformation in Plastic Strain Gradient Incorporated Combined Two-Back Stress Hardening Model)

  • 윤수진;이상연;박동창
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2011년도 제37회 추계학술대회논문집
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    • pp.528-535
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    • 2011
  • 본 논문에서는 변형율 독립 탄-소성 구성방정식을 이용, 전단 변형 하에서의 국부적 소성변형 집중현상이 분석되었다. 또한 변형량 기울기 (strain gradient) 항이 포함된 비구역적 (non-local) 구성방정식이 유도되었으며 이는 다시 이중후방응력 경화 모델로 표현되었다. 더욱이 본 모델은 연속체 파손역학과 조합되었다. 국부적 변형집중 현상은 수치해석을 통해 분석되었으며 변형량 기울기 항이 구성방정식에 포함될 때 본 항의 크기가 증가할수록 전단 밴드의 크기는 감소하는 것으로 밝혀졌다.

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Computational methodology to determine the strength of reinforced concrete joint

  • Sasmal, Saptarshi;Vishnu Pradeesh, L.;Devi, A. Kanchana;Ramanjaneyulu, K.
    • Advances in Computational Design
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    • 제1권1호
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    • pp.61-77
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    • 2016
  • Seismic performance of structures depends on the force flow mechanism inside the structure. Discontinuity regions, like beam-column joints, are often affected during earthquake event due to the complex and discontinuous load paths. The evaluation of shear strength and identification of failure mode of the joint region are helpful to (i) define the strength hierarchy of the beam-column sub-assemblage, (ii) quantify the influence of different parameters on the behaviour of beam-column joint and, (iii) develop suitable and adequate strengthening scheme for the joints, if required, to obtain the desired strength hierarchy. In view of this, it is very important to estimate the joint shear strength and identify the failure modes of the joint region as it is the most critical part in any beam-column sub-assemblage. One of the most effective models is softened strut and tie model which was developed by incorporating force equilibrium, strain compatibility and constitutive laws of cracked reinforced concrete. In this study, softened strut and tie model, which incorporates force equilibrium equations, compatibility conditions and material constitutive relation of the cracked concrete, are used to simulate the shear strength behaviour and to identify failure mechanisms of the beam-column joints. The observations of the present study will be helpful to arrive at the design strategy of the joints to ensure the desired failure mechanism and strength hierarchy to achieve sustainability of structural systems under seismic loading.

The role of extensional rheology in polymer processing

  • Baird, Donald G.
    • Korea-Australia Rheology Journal
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    • 제11권4호
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    • pp.305-311
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    • 1999
  • The shear behavior of polymers obtained by means of devices such as capillary and cone-and-plate rheo-meters is commonly used to assess their processing performance and as a characterization tool. However, the number of instances when two polymers have the same shear properties but perform differently during certain types of processing operations (e.g. film blowing and sheet extrusion) indicate that shear properties alone may not be sufficient to characterize polymeric fluids. We begin by defining the kinematics of shear-free or extensional flow and the associated material functions. The extensional and shear behavior of three different types of polyethylene (PE) are then compared to illustrate the points that one cannot ascertain the extensional properties of polymer melts from their shear properties and, furthermore, there may not be a simple relation between properties obtained from one type of extensional flow and those of another type. The kinematics of most processing flows are extensional rather than shear in nature, and , hence, the performance of polymers during processes such as fiber spinning, film casting, film blowing, thermoforming, blow molding, and even extrusion is more readily accounted for through extensional viscosity measurements. Methods for carrying out extensional flow measurements are then reviewed including approximate methods. To illustrate the sensitivity of extensional viscosity measurements to subtle changes in the molecular architecture of PEs, results are presented for samples with a narrow molecular weight distribution but with varying numbers of long chain branches. Finally, constitutive equations which allow one to separate shear and extensional flow behavior are discussed as any attempts to simulate the subtle processing differences between two polymers will require constitutive equations of this nature.

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Modeling refractory concrete lining of fluid catalytic cracking units of oil refineries

  • Silva, Ana B.C.G.;Andrade, Henrique C.C.;Fairbairn, Eduardo M.R.;Telles, Jose C.F.;Ribeiro, Fernando L.B.;Toledo-Filho, Romildo D.;Medeiros, Jorivaldo
    • Computers and Concrete
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    • 제25권1호
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    • pp.29-36
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    • 2020
  • This work presents a numerical modeling procedure to simulate the refractory concrete lining in fluid catalytic cracking units of oil refineries. The model includes the simulation of the anchors that reinforce the contact between the refractory concrete and the steel casing. For this purpose, the constitutive relations of an interface finite element are set to values that represent the homogenized behavior of the anchored interface. The parameters of this constitutive relation can be obtained by experimental tests. The model includes also multi-surface plasticity, in order to represent the behavior of the refractory concrete lining. Since the complexity of real case applications leads to high computational costs, the models presented here were implemented in a high-performance parallelized finite element platform. A case study representing a riser similar to the ones used by the refinery industry demonstrates the potential of the model.

Design charts for estimating the consolidation times of reclaimed marine clays in Korea

  • Sang-Hyun Jun;Byung-Soo Park;Hyuk-Jae Kwon;Jong-Ho Lee
    • Geomechanics and Engineering
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    • 제32권1호
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    • pp.1-20
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    • 2023
  • To predict the consolidation behavior of dredged and reclaimed marine clays exhibiting consolidation settlement with large strains, the finite strain consolidation theory must be used. However, challenges in appropriately applying the theory and determining input parameters make design and analysis studies difficult. To address these challenges, design charts for predicting the consolidation settlement of reclaimed marine clays are developed by a numerical approach based on the finite strain consolidation theory. To prepare the design charts, a sensitivity analysis of parameters is performed, and influencing parameters, such as initial void ratio and initial height, as well as the non-linear constitutive void ratio-effective stresspermeability relation, are confirmed. Six representative Korean marine clays obtained from different locations with different liquid limits are used. The design charts for estimating the consolidation times corresponding to various degrees of consolidation are proposed for each of the six representative clays. The consolidation settlements predicted from the design charts are compared to those in previous studies and at an actual construction site and are found to agree well with them. The proposed design charts can therefore be used to solve problems related to the consolidation of reclaimed marine clays having large strains.

이등방성 콘크리트 모델을 이용한 폭발하중을 받는 철근콘크리트 슬래브의 비선형 동적해석 (Non-linear Dynamic Analysis of Reinforced Concrete Slabs Subjected to Explosive Loading Using an Orthotropic Concrete Constitutive Model)

  • 이민주;곽효경
    • 한국전산구조공학회논문집
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    • 제32권6호
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    • pp.409-416
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    • 2019
  • 본 논문에서는 폭발하중을 받는 철근콘크리트 슬래브의 비선형 해석을 위한 개선된 수치 모델을 제안한다. 제안된 모델은 2축 응력 상태를 반영한 등가 강도에 의해 정의된 응력-변형률 관계를 사용하여 응력 상태를 직접 결정하는 변형률 속도 의존 이등방성 구성 모델을 다룬다. 또한, 균열 발생 후 콘크리트와 철근 사이의 부착 슬립이 점차 확대되어 소성힌지 영역으로 집중된다. 2축 응력 상태에서 콘크리트의 균열 방향은 주응력 방향에 따라 달라지므로 이를 고려한 부착 슬립 모델을 해석에 도입하였다. 해석 모델의 검증을 위해 수치해석과 실험결과의 상관관계 연구(correlation studies)가 수행되었다. 해석결과는 재료모델의 2축 거동과 부착 슬립의 영향을 고려하는 것이 해석결과의 정확성 향상에 중요함을 보여주며 제안된 해석 모델이 철근콘크리트 슬래브 부재의 폭발해석에 효과적으로 사용될 수 있음을 확인하였다.

마이크로플레인 모델을 이용한 화강암의 3차원 구성방정식 개발 및 암석거동 모사 (Microplane Constitutive Model for Granite and Analysis of Its Behavior)

  • 지광습;문상모;이인모
    • 한국지반공학회논문집
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    • 제22권2호
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    • pp.41-53
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    • 2006
  • 텐서(tensor) 이론에 기초한 기존의 구성방정식 모델은 암석(rock)과 같은 준취성 재료에서 나타나는 복잡한 변형열화(strain softening) 과정을 기술하기가 어려우며, 특히 구속압에 따른 변형열화 과정의 변화를 잘 반영하지 못한다. 본 연구에서는 화강암의 3차원 거동을 예측 분석할 수 있는 구성방정식을 마이크로플레인 모델을 이용하여 개발하였다. 화강암에 대한 마이크로플레인 모델은 Westerly 화강암과 Bonnet 화강암의 일축압축 및 삼축압축 시험 데이터와 최적을 이루도록 개발되었다. 개발된 마이크로플레인 모델은 화강암의 일축 및 삼축거동을 잘 예측하였다. 그리고 개발된 화강암의 마이크로플레인 모델을 유한요소법에 적용하여 암석지반 굴착시의 발파 모사를 통해 화강암의 비선형 거동 및 발파시의 파쇄 영역을 해석하였다. 또한 마이크로플레인 모델을 이용한 비선형 해석결과와 탄성해석 결과를 비교 분석한 결과 화강암의 거동은 비선형에 크게 영향을 받는 것으로 나타났다.

미세역학이론에 의한 콘크리트의 응력-변형도 관계와 연성도의 예측에 관한 연구 (Prediction of Stress-Strain Relation and Evolution of Compliance of Concrete by a Micromechanical Model)

  • 김진구
    • 콘크리트학회지
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    • 제8권3호
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    • pp.147-155
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    • 1996
  • 본 연구에서는 미세역학모델을 이용하여 무근 콘크리트의 응력-변형도관계를 예측할 수 있는 모델을 제시하였다. 모델에서는 하중이 가해지기 전에 골재와 모르터의 경계면에 초기 균열이 존재한다고 가정하고 하중에 의한 부착균열과 모르터균열의 형성여부를판별하기 위하여 선형탄성파괴역학(LEFM) 이론을 사용하였다. 또한 계산의 편의를 위하여 이러한 부착균열-몰타균열의 결합된 형상을 등가 직선균열로 치환하여 해석하였다. 발생된 균열의 크기와 그 밀도로부터 손상된 콘크리트의 연성도와 변형의 증가량을 계산하고 발표된 실험결과와 비교하여 보았다. 그 결과 본 모델에 의한 응력-변형도 관계의 예측은 압축보다는 인장에, 보통 콘크리트보다 고강도 콘크리트에 더 잘 적용됨을 발견하였다.

일래스토메릭 부싱의 반경방향모드 비선형 점탄성 모델연구 (A Study of A Nonlinear Viscoelastic Model for Elastomeric Bushing in Radial Mode)

  • 이성범
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.415-419
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    • 2003
  • An elastomeric bushing is a device used in automotive suspension systems to reduce the load transmitted from the wheel to the frame of the vehicle. A bushing is an elastomeric hollow cylinder which is bonded to a solid steel shaft at its inner surface and a steel sleeve at its outer surface. The relation between the load applied to the shaft or sleeve and the relative deformation of elastomeric bushing is nonlinear and exhibits features of viscoelasticity. A load-displacement relation for elastomeric bushing is important for dynamic numerical simulations. A boundary value problem for the bushing response leads to the load-displacement relation which requires complex calculations. Therefore, by modifying the constitutive equation for a nonlinear viscoelastic incompressible material developed by Lianis, the data for the elastomeric bushing material was obtained and this data was used to derive the new load-displacement for radial response of the bushing. After the load relaxation function for the bushing is obtained from the step displacement control test, Pipkin-Rogers model was developed. Solutions were allowed for comparison between the results of Modified Lianis model and those of the proposed model. It is shown that the proposed Pipkin-Rogers model is in very good agreement with Modified Lianis model.

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