• 제목/요약/키워드: nonlinear elastic modulus

검색결과 98건 처리시간 0.029초

Degree of hydration-based thermal stress analysis of large-size CFST incorporating creep

  • Xie, Jinbao;Sun, Jianyuan;Bai, Zhizhou
    • Steel and Composite Structures
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    • 제45권2호
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    • pp.263-279
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    • 2022
  • With the span and arch rib size of concrete-filled steel tube (CFST) arch bridges increase, the hydration heat of pumped mass concrete inside large-size steel tube causes a significant temperature variation, leading to a risk of thermal stress-induced cracking during construction. In order to tackle this phenomenon, a hydration heat conduction model based on hydration degree was established through a nonlinear temperature analysis incorporating an exothermic hydration process to obtain the temperature field of large-size CFST. Subsequently, based on the evolution of elastic modulus based on hydration degree and early-age creep rectification, the finite element model (FEM) model and analytical study were respectively adopted to investigate the variation of the thermal stress of CFST during hydration heat release, and reasonable agreement between the results of two methods is found. Finally, a comparative study of the thermal stress with and without considering early-age creep was conducted.

An improved Maxwell creep model for salt rock

  • Wang, Jun-Bao;Liu, Xin-Rong;Song, Zhan-Ping;Shao, Zhu-Shan
    • Geomechanics and Engineering
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    • 제9권4호
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    • pp.499-511
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    • 2015
  • The creep property of salt rock significantly influences the long-term stability of the salt rock underground storage. Triaxial creep tests were performed to investigate the creep behavior of salt rock. The test results indicate that the creep of salt rock has a nonlinear characteristic, which is related to stress level and creep time. The higher the stress level, the longer the creep time, the more obvious the nonlinear characteristic will be. The elastic modulus of salt rock decreases with the prolonged creep time, which shows that the creep damage is produced for the gradual expansion of internal cracks, defects, etc., causing degradation of mechanical properties; meanwhile, the creep rate of salt rock also decreases with the prolonged creep time in the primary creep stage, which indicates that the mechanical properties of salt rock are hardened and strengthened. That is to say, damage and hardening exist simultaneously during the creep of salt rock. Both the damage effect and the hardening effect are considered, an improved Maxwell creep model is proposed by connecting an elastic body softened over time with a viscosity body hardened over time in series, and the creep equation of which is deduced. Creep test data of salt rock are used to evaluate the reasonability and applicability of the improved Maxwell model. The fitting curves are in excellent agreement with the creep test data, and compared with the classical Burgers model, the improved Maxwell model is able to precisely predict the long-term creep deformation of salt rock, illustrating our model can perfectly describe the creep property of salt rock.

지진하중을 받는 말뚝 시스템의 고유 진동수 예측 (Prediction of the Natural Frequency of a Soil-Pile-Structure System during an earthquake)

  • 양의규;권선용;최정인;김명모
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.976-984
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    • 2009
  • This study proposes a simple method that uses a simple mass-spring model to predict the natural frequency of a soil-pile-structure system in sandy soil. This model includes a pair of matrixes, i.e., a mass matrix and a stiffness matrix. The mass matrix is comprised of the masses of the pile and superstructure, and the stiffness matrix is comprised of the stiffness of the pile and the spring coefficients between the pile and soil. The key issue in the evaluation of the natural frequency of a soil-pile system is the determination of the spring coefficient between the pile and soil. To determine the reasonable spring coefficient, subgrade reaction modulus, nonlinear p-y curves and elastic modulus of the soil were utilized. The location of the spring was also varied with consideration of the infinite depth of the pile. The natural frequencies calculated by using the mass-spring model were compared with those obtained from 1-g shaking table model pile tests. The comparison showed that the calculated natural frequencies match well with the results of the 1-g shaking table tests within the range of computational error when the three springs, whose coefficients were calculated using Reese's(1974) subgrade reaction modulus and Yang's (2009) dynamic p-y backbone curves, were located above the infinite depth of the pile.

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비선형 유한요소-경계요소 조합에 의한 핵폐기구조체의 무한영역해석 (Coupled Nonlinear Finite Element-Boundary Element Analysis of Nuclear Waste Storage Structures Considering Infinite Boundaries)

  • 김문겸;허택녕
    • 전산구조공학
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    • 제6권4호
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    • pp.89-98
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    • 1993
  • 최근 원자력의 사용이 증가함에 따라 핵폐기물을 효과적으로 처리하는 문제에 관심이 집중되고 있다. 이러한 핵폐기물을 지층내에 저장할 경우 고온의 열에 의해 핵폐기물 구조체에 지대한 영향을 미치므로 지반의 열력학적 거동을 분석할 필요성이 요구된다. 본 연구는 지반내에 처분된 고온의 사용후 핵연료에 의한 열역학적인 응력이 집중되어 비선형 거동이 예상되는 저장구조체 주변에는 비선형 유한요소를 적용하고 선형거동이 예상되는 무한영역에는 선형경계요소를 사용하여, 일반적인 역학적 계와 동일한 방법으로 비선형 유한요소와 경계요소를 조합한 프로그램을 개발하였다. 사용후 핵연료 폐기구조체와 같이 국부적인 비선형거동이 예상되는 구조물에서는 조합방법이 전 영역을 비선형 유한요소로 모형화하여 해석하는 것보다 효율적임을 알 수 있었다. 또한, 지층내 지반에 영향 미치는 주요 지반계수를 변화시킨 경우, 터널경계의 변위에 이러한 계수들이 어떠한 영향을 미치는가를 개발된 방법을 사용하여 검토하였다. 검토결과, 다른 계수들의 변화보다 열팽창계수의 변화가 터널주위의 변위에 상당한 영향을 미침을 알 수 있었다.

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PCTC 박판 블록 용접 변형에 관한 연구 (A Study on Welding Deformation of thin plate block in PCTC)

  • 강성구;양종수;김호경
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2009년 추계학술발표대회
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    • pp.97-97
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    • 2009
  • The use of thin plate increases due to the need for light weight in large ship. Thin plate is easily distorted and has residual stress by welding heat. Therefore, the thin plate should be carefully joined to minimize the welding deformation which costs time and money for repair. For one effort to reduce welding deformation, it is very useful to predict welding deformation before welding execution. There are two methods to analyze welding deformation. One is simple linear analysis. The other is nonlinear analysis. The simple linear analysis is elastic analysis using the equivalent load method or inherent strain method from welding experiments. The nonlinear analysis is thermo-elastic analysis which gives consideration to the nonlinearity of material dependent on temperature and time, welding current, voltage, speed, sequence and constraint. In this study, the welding deformation is analyzed by using thermo-elastic method for PCTC(Pure Car and Truck Carrier) which carries cars and trucks. PCTC uses thin plates of 6mm thickness which is susceptible to welding heat. The analysis dimension is 19,200mm(length) * 13,825mm(width) * 376mm(height). MARC and MENTAT are used as pre and post processor and solver. The boundary conditions are based on the real situation in shipyard. The simulations contain convection and gravity. The material of the thin block is mild steel with $235N/mm^2$ yield strength. Its nonlinearity of conductivity, specific heat, Young's modulus and yield strength is applied in simulations. Welding is done in two pass. First pass lasts 2,100 second, then it rests for 900 second, then second pass lasts 2,100 second and then it rests for 20,000 second. The displacement at 0 sec is caused by its own weight. It is maximum 19mm at the free side. The welding line expands, shrinks during welding and finally experiences shrinkage. It results in angular distortion of thin block. Final maximum displacement, 17mm occurs around welding line. The maximum residual stress happens at the welding line, where the stress is above the yield strength. Also, the maximum equivalent plastic strain occurs at the welding line. The plastic strain of first pass is more than that of second pass. The flatness of plate in longitudinal direction is calculated in parallel with the direction of girder and compared with deformation standard of ${\pm}15mm$. Calculated value is within the standard range. The flatness of plate in transverse direction is calculated in perpendicular to the direction of girder and compared with deformation standard of ${\pm}6mm$. It satisfies the standard. Buckle of plate is calculated between each longitudinal and compared with the deformation standard. All buckle value is within the standard range of ${\pm}6mm$.

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장변위공내재하시험기를 이용한 철도교 기초의 P-y곡선에 관한 연구 (P-y Curves from Large Displacement Borehole Testmeter for Railway Bridge Foundation)

  • 류창열;이슬;김대상;조국환
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 정기총회 및 추계학술대회 논문집
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    • pp.836-842
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    • 2011
  • The lateral stability of bridge foundations against train moving load, emergency stopping load, earthquakes, and so on is very important for a railway bridge foundation. A borehole test is much more accurate than laboratory tests since it is possible to minimize the disturbance of ground conditions on the test site. The representative borehole test methods are Dilatometer, Pressuremeter and Lateral Load Tester, which usually provide force-resistance characteristics in elastic range. In order to estimate P-y curves using those methods, the non-linear characteristics of soil which is one of the most important characteristics of the soil cannot be obtained. Therefore, P-y curves are estimated usually using elastic modulus ($E_O$, $E_R$) of lateral pressure-deformation ratio obtained within the range of elastic behavior. Even though the pile foundation is designed using borehole tests in field to increase design accuracy, it is necessary to use a higher safety factor to improve the reliability of the design. A Large Displacement Borehole Testmeter(LDBT) is developed to measure nonlinear characteristics of the soil in this study. P-y curves can be directly achieved from the developed equipment. Comparisons between measured P-y curves the LDBT developed equipment, theoretical methods based on geotechnical investigations, and back-calculated P-y curves from field tests are shown in this paper. The research result shows that the measured P-y curves using LDBT can be properly matched with back-calculated P-y curves from filed tests by applying scale effects for sand and clay, respectively.

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구속적 비선형 최적화에 의한 합성재료 탄성물성치의 수치적 예측 (Numerical Prediction of elastic Material Properties of Composites by A Constrained Nonlinear Optimization Method)

  • 신수봉;고현무
    • 전산구조공학
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    • 제10권2호
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    • pp.225-232
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    • 1997
  • 서로 다른 기지의 성질을 갖는 재료들을 혼합하여 만든 합성재료의 새로운 물성치는 일반적으로 실험으로 규명하고 있다. 혼합하는 재료들의 체적비에 따라 실험으로 측정한 합성재료의 탄성계수와 포와송비는 그 합성재료로 만들어지는 구조물의 역학적 거동을 예측하는 해석적 모델의 기본자료로 사용된다. 합성재료 탄성물성치의 수치적 예측은 합성재료에 대한 유한요소 모델로 해석한 정적변위와 균질.등방성으로 가정한 모델을 해석한 정적변위와의 차이를 최소화하는 구속적 비선형 최적화기법을 사용하여 수행하였다. 유한요소 모델은 체적비에 따라 혼합물질을 분배하기 용이하도록 제안하였으며 구속조건 및 하중조건은 일축인장에 의한 거동을 예측하도록 설정하였다. 본 논문에서는 고체입자를 섞어 만든 합성재료의 탄성물성치를 예제를 통하여 수치적으로 예측하고 그 결과를 실험결과 및 이론식들과 비교.검토하였다.

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비선형방정식을 이용한 이방성판의 음향방출 위치표정 (AE Source Location in Anisotropic Plates by Using Nonlinear Analysis)

  • 이경주;권오양
    • 비파괴검사학회지
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    • 제21권3호
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    • pp.281-287
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    • 2001
  • 2차원 음향방출 위치표정에서 전통적인 방법으로 문턱 전압값을 설정하여 도달시간차를 측정함으로써 2개의 쌍곡선을 형성하는 데는 해당 구조물에서 직접 측정한 속도를 이용하게 된다. 복합재료 적층판과 같은 이방성 재료에서는 섬유의 배열방향에 따라 탄성계수가 변하므로 속도가 섬유의 방향성에 의존하게 된다. 따라서 임의의 위치에서 발생한 탄성파의 도달시간차 측정에 의한 위치표정의 오차가 커지며, 위치표정의 과정이 복잡해지는 것을 피할 수 없다. 본 연구에서는 전통적인 음향방출 위치표정에서 쌍곡선의 2중 교점의 오차를 정정하기 위해 사용되어야 하는 제 4의 센서를 사용하지만 속도변화에 기인하는 위치표정의 오차를 줄일 수 있는 방법으로 수치해석에 의해 비선형방정식을 풀어내는 위치표정 알고리즘을 제안하였다. 또한 제안된 방법이 전통적인 방법에 비해 이방성 판에서의 2차원 위치 표정을 보다 간단하게 수행하고, 정확도를 향상할 수 있는 방법임을 실험적으로 입증하였다.

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Geometrically nonlinear thermo-mechanical analysis of graphene-reinforced moving polymer nanoplates

  • Esmaeilzadeh, Mostafa;Golmakani, Mohammad Esmaeil;Kadkhodayan, Mehran;Amoozgar, Mohammadreza;Bodaghi, Mahdi
    • Advances in nano research
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    • 제10권2호
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    • pp.151-163
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    • 2021
  • The main target of this study is to investigate nonlinear transient responses of moving polymer nano-size plates fortified by means of Graphene Platelets (GPLs) and resting on a Winkler-Pasternak foundation under a transverse pressure force and a temperature variation. Two graphene spreading forms dispersed through the plate thickness are studied, and the Halpin-Tsai micro-mechanics model is used to obtain the effective Young's modulus. Furthermore, the rule of mixture is employed to calculate the effective mass density and Poisson's ratio. In accordance with the first order shear deformation and von Karman theory for nonlinear systems, the kinematic equations are derived, and then nonlocal strain gradient scheme is used to reflect the effects of nonlocal and strain gradient parameters on small-size objects. Afterwards, a combined approach, kinetic dynamic relaxation method accompanied by Newmark technique, is hired for solving the time-varying equation sets, and Fortran program is developed to generate the numerical results. The accuracy of the current model is verified by comparative studies with available results in the literature. Finally, a parametric study is carried out to explore the effects of GPL's weight fractions and dispersion patterns, edge conditions, softening and hardening factors, the temperature change, the velocity of moving nanoplate and elastic foundation stiffness on the dynamic response of the structure. The result illustrates that the effects of nonlocality and strain gradient parameters are more remarkable in the higher magnitudes of the nanoplate speed.

지반계수의 한계값 평가를 위한 구조물-지반체계에 대한 지진응답해석 (Seismic Response Analyses of the Structure-Soil System for the Evaluation of the Limits of the Site Coefficients)

  • 김용석
    • 한국지진공학회논문집
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    • 제11권1호
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    • pp.67-77
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    • 2007
  • IBC와KBC 기준의 지반계수는 지반증폭 만이 고려되고 구조물-지반 상호작용 영향이 고려되지 않은 지반계수로 합리적인 구조물의 지진거동을 예측하는데 어떤 한계가 있다. 이 연구에서는 선형과 비선형 지반 위에 세워진 구조물의 탄성지진응답해석을 의사 3-D 해석으로 수행하여 구조물-지반 상호작용 영향이 고려된 지반계수의 상 하 한계값을 평가하였다. 지반의 특성은 지반 A, B, C의 경우에는 선형으로 가정하였고, 지반 D와 E의 경우에는 비선형으로 가정하여 Ramberg-Osgood 모델을 사용하여 전단파속도를 기준으로 전단탄성계수와 감쇠비 계산식을 규정하였다. 지진해석은 중 약진 지진기록 12개를 선정하여 최대 지진가속도를 0.1g와 0.2g로 조정하고, 구조물-지반 체계에 대한 의사 3-D 해석 시에는 30m 지반 하부 암반에서의 지진기록으로 변환하여 사용하였다. 구조물의 탄성 지진응답해석을 통해서 얻은 결과로부터 구조물-지반 상호작용 영향을 고려한 새로운 표준응답스펙트럼과 단주기 영역 및 주기 1초에서의 지반계수 $F_{a}$$F_{v}$의 상 하 한계값을 제시하였으며, KBC 기준을 위한 새로운 지반계수도 제안하였다.