• Title/Summary/Keyword: softening model

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모델 시스템을 이용한 제조 조건이 단무지의 색도 및 경도에 미치는 영향 (Effects of Process Conditions on the Color and Firmness of Salted Radish Root (Danmooji) at Model System)

  • 구경형;박완수;이경아
    • 한국식품영양과학회지
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    • 제34권9호
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    • pp.1477-1484
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    • 2005
  • 단무지 조미액 성분이 단무지 품질에 미치는 영향 조사와 단무지 조미액의 pH($X_1$), 열처리 조건($X_2$)의 영향 및 저장온도와 기간별 단무지의 색도 및 조직감 변화를 조사하였다. 개별 단무지 조미액 성분이 단무지의 색도 및 경도 변화에 미치는 영향의 경우, 증류수 침지군을 기준으로 AD9(acetic acid) 침지군을 제외하고 AD3(polyphosphate), AD5(citric acid), AD2(malic acid)은 색도 변화와 단무지 연화를 지연시켰다. 반면에, AD1(potasium sorbate), AD7(succinic acid), AD8(MSG), AD6(saccharin) 처리구는 색도 변화와 경도 감소를 가속화시켰다. 또 단무지 조미액과 열처 리 조건의 영향은 중심 합성 계획 (central composite design)과 반응표면 분석법(response surface analysis)을 이용하여 분석하였다. 그 결과 독립 변수와 종속 변수의 상관 정도를 나타내는 $R^2$값이 종속변수 경도 값을 제외하고 0.8이상이었으며, 특히황색도를 나타내는 b값은 0.899을 나타내었다. 각 개별 독립변수와 교차 분석 결과 독립 변수인 $X_1$(pH)과 $X_2$(가열시간)모두 단무지의 색도와 조직감 변화에 영향을 끼쳤다. 또 저장 온도의 경우, $40^{\circ}C$에서 저장한 단무지의 색도가 다른 온도에 저장한 시료에 비하여 저장기간이 증가함에 따라 급속한 색도 변화와 연화가 진행되었다.

케로신-공기 혼합물의 데토네이션 하중에 의한 열탄소성 관의 동적 거동 해석 (Numerical Investigation of Dynamic Responses of a Thermal Elasto-plastic Tube under Kerosene-air Mixture Detonation)

  • 곽민철;이영헌;여재익
    • 한국추진공학회지
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    • 제20권5호
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    • pp.60-69
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    • 2016
  • 본 연구에서는 케로신-공기 혼합물 데토네이션 계산과 다물질 해석을 기반으로 데토네이션 하중에 의한 얇은 금속관의 열탄소성 거동에 대한 수치계산을 수행하였다. 데토네이션 하중은 케로신-공기 혼합물의 데토네이션을 활용하여 모델링하였으며, 검증을 위해 해석 결과를 C-J 조건과 실험적 셀 직경을 통해 비교 검증하였다. 또한 금속의 탄성/소성 거동을 확인하기 위하여, 소성 거동은 구리의 Taylor impact 문제로, 탄성 거동은 베를리움 평판 떨림 문제를 활용하였다. 온도에 의한 관의 탄소성 거동 변화를 확인하기 위하여 동일한 데토네이션 하중 하에서 초기 온도가 다른 관의 거동을 확인하고 이론식과의 비교를 통해 열연화 효과가 고려되어야 함을 확인하였다.

Numerical assessment of step-by-step integration methods in the paradigm of real-time hybrid testing

  • Verma, Mohit;Rajasankar, J.;Iyer, Nagesh R.
    • Earthquakes and Structures
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    • 제8권6호
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    • pp.1325-1348
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    • 2015
  • Real-time hybrid testing (RTHT) involves virtual splitting of the structure into two parts: physical substructure that contains the key region of interest which is tested in a laboratory and numerical substructure that contains the remaining part of the structure in the form of a numerical model. This paper numerically assesses four step-by-step integration methods (Central difference method (CDM), Operator splitting method (OSM), Rosenbrock based method (RBM) and CR-integration method (CR)) which are widely used in RTHT. The methods have been assessed in terms of stability and accuracy for various realistic damping ratios of the physical substructure. The stability is assessed in terms of the spectral radii of the amplification matrix while the accuracy in terms of numerical damping and period distortion. In order to evaluate the performance of the methods, five carefully chosen examples have been studied - undamped SDOF, damped SDOF, instantaneous softening, instantaneous hardening and hysteretic system. The performance of the methods is measured in terms of a non-dimensional error index for displacement and velocity. Based on the error indices, it is observed that OSM and RBM are robust and performs fairly well in all the cases. CDM performed well for undamped SDOF system. CR method can be used for the system showing softening behaviour. The error indices indicate that accuracy of OSM is more than other method in case of hysteretic system. The accuracy of the results obtained through time integration methods for different damping ratios of the physical substructure is addressed in the present study. In the presence of a number of integration methods, it is preferable to have criteria for the selection of the time integration scheme. As such criteria are not available presently, this paper attempts to fill this gap by numerically assessing the four commonly used step-by-step methods.

철근(鐵筋)콘크리트 구조물(構造物)의 비선형(非線型) 해석(解析)에 관한 연구(硏究) (A Study on Nonlinear Analysis of Reinforced Concrete Structures)

  • 장동일;곽계환
    • 대한토목학회논문집
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    • 제7권2호
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    • pp.69-77
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    • 1987
  • 철근 콘크리트 구조물의 재료적 비선형 해석을 위해 유한요소법을 적용하였다. 2 축응력 상태에서의 콘크리트 거동은 인장균열과 균열사이의 인장증강효과(tension stiffening effect) 그리고 최대압축 강도를 넘어서의 변형연화(strain-softening) 효과를 고려하는 비선형 구성 방정식으로 나타냈다. 콘크리트를 직교성 (orthotropic) 재료로 가정함으로써 비선형 탄성체로 간주하고, 등가일축변형도 개념을 사용한 등가 일축 응력-변형도(equivalent uniaxial stress-strain) 관계식으로 모형화하고, 철근 보강재는 Bauschinger 효과를 갖는 탄소성 변형 경화재료(elasto-plastic strain-hardening material)로 모형화 했다. 평면 응력 상태에서 철근콘크리트 보의 모형화는 각 절점에 2 개의 자유도를 갖는 사각형요소로 모형화하여 적용 시쳤으며, 이로부터 구한 유한요소해석의 결과치를 실험결과치의 중앙처짐, 응력, 변형율 그리고 균열성장과정에 대하여 비교 검토 하였다.

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고온 변형 곡선을 이용한 동적 재결정 해석과 동적 상변태의 조기 예측 (Precise Flow Stress Analysis for the Occurrence of Dynamic Ferritic Transformation and Dynamic Recrystallization of Austenite in Low Carbon Steel)

  • 박노근
    • 대한금속재료학회지
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    • 제56권11호
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    • pp.779-786
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    • 2018
  • There have been previous attempts to observe the occurrence of dynamic ferritic transformation at temperatures even above $Ae_3$ in a low-carbon steel, and not only in steels, but recently also in titanium alloys. In this study, a new approach is proposed that involves treating true stress-true strain curves in uniaxial compression tests at various temperatures, and different strain rates in 0.1C-6Ni steel, which is a model alloy used to decelerate the kinetics of ferrite transformation from austenite. The initial flow stress up to peak stress was used to analyze the change in dynamic softening phenomena, such as dynamic recovery, dynamic recrystallization, and dynamic transformation. It is worth mentioning that for predicting the occurrence of dynamic transformation, flow stress before reaching peak stress is much more sensitive to the change in the dynamic softening rate due to dynamic transformation, compared to peak stress. It was found that the occurrence of dynamic ferritic transformation could be successfully obtained even at temperatures above $Ae_3$ once the deformation condition was satisfied. This deformation condition is a function of both the strain rate and the deformation temperature, which can be described as the Zener - Hollomon parameter. In addition, the driving force of dynamic ferritic transformation might be much less than that of the dynamic recrystallization of austenite at a given deformation condition. By applying this technique, it is possible to predict the occurrence of dynamic transformation more sensitively compared with the previous analysis method using peak stress during deformation.

Mechanical behaviour between adjacent cracks in CFRP plate reinforced RC slabs

  • Yuan, Xin;Bai, Hongyu;Sun, Chen;Li, Qinqing;Song, Yanfeng
    • Structural Engineering and Mechanics
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    • 제84권3호
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    • pp.375-391
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    • 2022
  • This paper discussed and analyzed the interfacial stress distribution characteristic of adjacent cracks in Carbon Fiber Reinforced Polymer (CFRP) plate strengthened concrete slabs. One un-strengthened concrete test beam and four CFRP plate-strengthened concrete test beams were designed to carry out four-point flexural tests. The test data shows that the interfacial shear stress between the interface of CFRP plate and concrete can effectively reduce the crack shrinkage of the tensile concrete and reduces the width of crack. The maximum main crack flexural height in pure bending section of the strengthened specimen is smaller than that of the un-strengthened specimen, the CFRP plate improves the rigidity of specimens without brittle failure. The average ultimate bearing capacity of the CFRP-strengthened specimens was increased by 64.3% compared to that without CFRP-strengthen. This indicites that CFRP enhancement measures can effectively improve the ultimate bearing capacity and delay the occurrence of debonding damage. Based on the derivation of mechanical analysis model, the calculation formula of interfacial shear stress between adjacent cracks is proposed. The distributions characteristics of interfacial shear stress between certain crack widths were given. In the intermediate cracking region of pure bending sections, the length of the interfacial softening near the mid-span cracking position gradually increases as the load increases. The CFRP-concrete interface debonding capacity with the larger adjacent crack spacing is lower than that with the smaller adjacent crack spacing. The theoretical calculation results of interfacial bonding shear stress between adjacent cracks have good agreement with the experimental results. The interfacial debonding failure between adjacent cracks in the intermediate cracking region was mainly caused by the root of the main crack. The larger the spacing between adjacent cracks exists, the easier the interfacial debonding failure occurs.

The crack propagation of fiber-reinforced self-compacting concrete containing micro-silica and nano-silica

  • Moosa Mazloom;Amirhosein Abna;Hossein Karimpour;Mohammad Akbari-Jamkarani
    • Advances in nano research
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    • 제15권6호
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    • pp.495-511
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    • 2023
  • In this research, the impact of micro-silica, nano-silica, and polypropylene fibers on the fracture energy of self-compacting concrete was thoroughly examined. Enhancing the fracture energy is very important to increase the crack propagation resistance. The study focused on evaluating the self-compacting properties of the concrete through various tests, including J-ring, V-funnel, slump flow, and T50 tests. Additionally, the mechanical properties of the concrete, such as compressive and tensile strengths, modulus of elasticity, and fracture parameters were investigated on hardened specimens after 28 days. The results demonstrated that the incorporation of micro-silica and nano-silica not only decreased the rheological aspects of self-compacting concrete but also significantly enhanced its mechanical properties, particularly the compressive strength. On the other hand, the inclusion of polypropylene fibers had a positive impact on fracture parameters, tensile strength, and flexural strength of the specimens. Utilizing the response surface method, the relationship between micro-silica, nano-silica, and fibers was established. The optimal combination for achieving the highest compressive strength was found to be 5% micro-silica, 0.75% nano-silica, and 0.1% fibers. Furthermore, for obtaining the best mixture with superior tensile strength, flexural strength, modulus of elasticity, and fracture energy, the ideal proportion was determined as 5% micro-silica, 0.75% nano-silica, and 0.15% fibers. Compared to the control mixture, the aforementioned parameters showed significant improvements of 26.3%, 30.3%, 34.3%, and 34.3%, respectively. In order to accurately model the tensile cracking of concrete, the authors used softening curves derived from an inverse algorithm proposed by them. This method allowed for a precise and detailed analysis of the concrete under tensile stress. This study explores the effects of micro-silica, nano-silica, and polypropylene fibers on self-compacting concrete and shows their influences on the fracture energy and various mechanical properties of the concrete. The results offer valuable insights for optimizing the concrete mix to achieve desired strength and performance characteristics.

콘크리트내 표면매입 보강된 FRP 판과 콘크리트 사이의 착-미끄러짐 관계 해석 (Analysis on the Interfacial Bond-Slip Relationship between ear Surface-Mounted FRP Plate and Concrete)

  • 서수연
    • 콘크리트학회논문집
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    • 제26권1호
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    • pp.79-86
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    • 2014
  • 이 연구는 표면매입 보강된 FRP 판과 콘크리트사이의 응력전달기구를 이론적으로 연구한 것으로서 이선형 부착모델을 이용하여 부착거동을 묘사하고 이를 실험 결과와 비교하여 신뢰성있는 해석방법을 제시하였다. 연구로부터, 표면매입된 FRP 판과 콘크리트사이의 계면특성을 고려한 미분방정식에 이선형 부착-미끄러짐 관계곡선을 사용하여 해석할 경우, 모델의 임계값인 최대전단강도와 미끄러짐 변위, 그리고 박락에 의한 연화거동이 시작될 때의 변위값 선정과정이 제시되었다. 또한 제안된 모델을 사용하여 부착길이가 다르게 보강된 표면매입 FRP 판의 미끄러짐 거동을 해석한 결과 실제 거동을 매우 근사하게 묘사할 수 있는 것으로 나타났다.

Coupled testing-modeling approach to ultimate state computation of steel structure with connections for statics and dynamics

  • Imamovic, Ismar;Ibrahimbegovic, Adnan;Mesic, Esad
    • Coupled systems mechanics
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    • 제7권5호
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    • pp.555-581
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    • 2018
  • The moment-resistant steel frames are frequently used as a load-bearing structure of buildings. Global response of a moment-resistant frame structure strongly depends on connections behavior, which can significantly influence the response and load-bearing capacity of a steel frame structure. The analysis of a steel frame with included joints behavior is the main focus of this work. In particular, we analyze the behavior of two connection types through experimental tests, and we propose numerical beam model capable of representing connection behavior. The six experimental tests, under monotonic and cyclic loading, are performed for two different types of structural connections: end plate connection with an extended plate and end plate connection. The proposed damage-plasticity model of Reissner beam is able to capture both hardening and softening response under monotonic and cyclic loading. This model has 18 constitutive parameters, whose identification requires an elaborate procedure, which we illustrate in this work. We also present appropriate loading program and arrangement of measuring equipment, which is crucial for successful identification of constitutive parameters. Finally, throughout several practical examples, we illustrate that the steel structure connections are very important for correct prediction of the global steel frame structure response.

A nonlinear model for ultimate analysis and design of reinforced concrete structures

  • Morfidis, Konstantinos;Kiousis, Panos D.;Xenidis, Hariton
    • Computers and Concrete
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    • 제14권6호
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    • pp.695-710
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    • 2014
  • This paper presents a theoretical and computational approach to solve inelastic structures subjected to overloads. Current practice in structural design is based on elastic analysis followed by limit strength design. Whereas this approach typically results in safe strength design, it does not always guarantee satisfactory performance at the service level because the internal stiffness distribution of the structure changes from the service to the ultimate strength state. A significant variation of relative stiffnesses between the two states may result in unwanted cracking at the service level with expensive repairs, while, under certain circumstances, early failure may occur due to unexpected internal moment reversals. To address these concerns, a new inelastic model is presented here that is based on the nonlinear material response and the interaction relation between axial forces and bending moments of a beam-column element. The model is simple, reasonably accurate, and computationally efficient. It is easy to implement in standard structural analysis codes, and avoids the complexities of expensive alternative analyses based on 2D and 3D finite-element computations using solid elements.