• 제목/요약/키워드: Constitutive Law

검색결과 226건 처리시간 0.023초

General stress-strain model for concrete or masonry response under uniaxial cyclic compression

  • La Mendola, Lidia;Papia, Maurizio
    • Structural Engineering and Mechanics
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    • 제14권4호
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    • pp.435-454
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    • 2002
  • The paper proposes analytical forms able to represent with very good approximation the constitutive law experimentally deducible by means of uniaxial cyclic compressive tests on material having softening post-peak behaviour in compression and negligible tensile strength. The envelope, unloading and reloading curves characterizing the proposed model adequately approach structural responses corresponding to different levels of nonlinearity and ductility, requiring a not very high number of parameters to be calibrated experimentally. The reliability of the model is shown by comparing the results that it is able to provide with the ones analytically deduced from two reference models (one for concrete, another for masonry) available in the literature, and with experimental results obtained by the authors in the framework of a research in progress.

유전적분형 선형 점탄성문제의 유한요소법에 의한 효율적 해석 (Advanced Finite Element Analysis for Linear Viscoelastic Problems of a Hereditary-Type Constitutive Law)

  • 심우진;이성희
    • 전산구조공학
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    • 제6권2호
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    • pp.103-114
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    • 1993
  • 유전적분형 물성방정식에 근거한 선형 점탄성문제의 효율적인 수치해석을 위해서 새로운 유한요소해법을 공식화하였다. 각 시간구간에서 변수변화를 선형적으로 가정하고 유전적분의 계산을 매우 효율적으로 처리하였다. 그 결과 과거의 해석법에 비하여 수치정확도 및 경제성에서 큰 향상을 얻었다.

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철근콘크리트기둥의 손상지표 설정과 손상도 평가 (Damage Assessment and Establishment of Damage Index for Reinforced Concrete Column)

  • 윤일로;권용길
    • 한국산업융합학회 논문집
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    • 제10권3호
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    • pp.149-155
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    • 2007
  • Damage assessment and Damage index for RC members failed in flexure was investigated by using the nonlinear finite element analysis, included with nonlocal constitutive law, which is analyzed for the localization of the failure on the post-peak region. In the nonlcal constitutive law, The local strains obtained at gauss points were averaged over a particular length, i.e. characteristic length and it was used to evaluate the damage of RC column member. As the analysis results, The value of nonlocal strain shows less mesh sensibility. In the damage assessment, It was confirmed that evaluations of damage of RC member were able to use nonlocal compressive strain on a cover concrete and a core concrete of the member. Moreover it was confirmed that damage process for the statically indeterminate structure was able to evaluate the damage context of the component members of the structure.

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Constitutive Model of Tendon Responses to Multiple Cyclic Demands (II) -Theory and Comparison-

  • Chun, Keyoung-Jin;Robert P. Hubbard
    • Journal of Mechanical Science and Technology
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    • 제15권9호
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    • pp.1281-1291
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    • 2001
  • The hereditary integral form of a quasi-linear viscoelastic law has been employed. Four new concepts have been employed: 1. a reduced relaxation function with a non-linear exponential function of time, 2. an inverse method to determine the scale factor of the elastic response, 3. an instant elastic recovery strain during unloading, and 4. the results of a constitutive model for cyclic tests may be a function of the Heavyside class. These concepts have been supported by agreement between measured and predicted responses of soft connective tissue to three types of multiple cyclic tests which include rest periods of no extension and alternations between different strain levels. Such agreement has not been attained in the previous studies. Chun and Hubbard (2001) is our companion experimental analysis paper.

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고온에서의 비선형 변형도를 고려한 콘크리트 구조물에서의 열응력 분포 (Thermal stress of concrete structure at high temperature considering inelastic thermal strain change)

  • 강석원;홍성걸;신영수
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 가을 학술발표회 논문집(II)
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    • pp.1145-1150
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    • 2000
  • Concrete behaves as ductile material at high temperature. The existing stress-strain relationship is not valid at high temperature condition. Thus, stress-strain curve of concrete at high temperature is re-established by modifying Saenz's suggestion in this study. A constitutive model of concrete subjected to elevated temperature is also suggested. The model consists of three components; free thermal stain, mechanical strain and thermal creep strain. As the temperature increase, the thermal creep becomes more critical to the failure of concrete. The thermal creep strain of concrete is derived from the modified power-law relation for the steady state creep. The proposed equation for thermal creep employs a Dorn's temperature compensated time theorem

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MATHEMATICAL ANALYSIS OF CONTACT PROBLEM WITH DAMPED RESPONSE OF AN ELECTRO-VISCOELASTIC ROD

  • LAHCEN OUMOUACHA;YOUSSEF MANDYLY;RACHID FAKHAR;EL HASSAN BENKHIRA
    • Journal of applied mathematics & informatics
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    • 제42권2호
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    • pp.305-320
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    • 2024
  • We consider a mathematical model which describes the quasistatic contact of electro-viscoelastic rod with an obstacle. We use a modified Kelvin-Voigt viscoelastic constitutive law in which the elasticity operator is nonlinear and locally Lipschitz continuous, taking into account the piezoelectric effect of the material. We model the contact with a general damped response condition. We establish a local existence and uniqueness result of the solution by using arguments of time-dependent nonlinear equations and Schauder's fixed-point theorem and obtain a global existence for small enough data.

법의 지배와 한국정치학의 빈 구멍 (The Lack of Judicial Politics and Challenge of Democracy in Korea)

  • Kang, Miongsei
    • 분석과 대안
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    • 제1권1호
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    • pp.3-16
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    • 2017
  • This paper aims to emphasize the necessity of beginning and developing judicial politics in Korea. Law is constitutive of politics, and judicial politics is vital in understanding how politics is influenced by law. Disappointingly, social science in Korea has not recognized the importance of judicial politics. Judicial branch in Korea does not have the capacity to constrain the executive or other government agencies governed by elected officials. The rule of law does not work. Judicial politics has not yet been introduced in Korea, despite its enormous importance in shaping political economy. The rule of law and courts are believed to be the institutional foundation for economic growth. Law embodied in "no one is above the law" is recognized to provide fairness and stability with a democracy. Little attention to judicial politics results in leaving behind a missing link in a polity. The fortification of the rule of law is necessary to make democracy consolidated in Korea, as shown in impeachment of former president Park Geunhae. A new scholarship in Korea on judicial politics is in need to discuss what conditions under which the rule of law is possible and how to make it sustainable.

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Identification of isotropic and orthotropic constitutive parameters by FEA-free energy-based inverse characterization method

  • Shang, Shen;Yun, Gun Jin;Kunchum, Shilpa;Carletta, Joan
    • Structural Engineering and Mechanics
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    • 제45권4호
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    • pp.471-494
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    • 2013
  • In this paper, identification of isotropic and orthotropic linear elastic material constitutive parameters has been demonstrated by a FEA-free energy-based inverse analysis method. An important feature of the proposed method is that it requires no finite element (FE) simulation of the tested material. Full-field displacements calculated using digital image correlation (DIC) are used to compute DIC stress fields enforcing the equilibrium condition and DIC strain fields using interpolation functions. Boundary tractions and displacements are implicitly recast into an objective function that measures the energy residual of external work and internal elastic strain energy. The energy conservation principle states that the residual should be zero, and so minimizing this objective function inversely identifies the constitutive parameters. Synthetic data from simulated testing of isotropic materials and orthotropic composite materials under 2D plane stress conditions are used for verification of the proposed method. When identifying the constitutive parameters, it is beneficial to apply loadings in multiple directions, and in ways that create non-uniform stress distributions. The sensitivity of the parameter identification method to noise in both the measured full-field DIC displacements and loadings has been investigated.

Bond-slip constitutive model of concrete to cement-asphalt mortar interface for slab track structure

  • Su, Miao;Dai, Gonglian;Peng, Hui
    • Structural Engineering and Mechanics
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    • 제74권5호
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    • pp.589-600
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    • 2020
  • The bonding interface of the concrete slab track and cement-asphalt mortar layer plays an important role in transferring load and restraining the track slab's deformation for slab track structures without concrete bollards in high-speed railway. However, the interfacial bond-slip behavior is seldom considered in the structural analysis; no credible constitutive model has been presented until now. Elaborating the field tests of concrete to cement-asphalt mortar interface subjected to longitudinal and transverse shear loads, this paper revealed its bond capacity and failure characteristics. Interfacial fractures all happen on the contact surface of the concrete track slab and mortar-layer in the experiments. Aiming at this failure mechanism, an interfacial mechanical model that employed the bilinear local bond-slip law was established. Then, the interfacial shear stresses of different loading stages and the load-displacement response were derived. By ensuring that the theoretical load-displacement curve is consistent with the experiment result, an interfacial bond-slip constitutive model including its the corresponding parameters was proposed in this paper. Additionally, a finite element model was used to validate this constitutive model further. The constitutive model presented in this paper can be used to describe the real interfacial bonding effect of slab track structures with similar materials under shear loads.

손상이 증가하는 아스팔트 콘크리트의 점탄성 구성모델 (Constitutive Modeling of Asphalt Concrete with Time-Dependent Damage Growth)

  • 이현종
    • 전산구조공학
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    • 제10권4호
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    • pp.229-238
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    • 1997
  • 본 논문에서는 반복하중에 의해 손상을 입은 아스팔트 콘크리트의 점탄성 구성모델에 대한 역학적 접근방법을 제시하였다. 모의변수로 나타낸 탄성-점탄성 일치원리는 아스팔트 콘크리트의 점탄성과 시간의존 손상의 증가를 별도로 평가하도록 적용되었다. 선형-점탄성 파괴역학에 사용되고 있는 미소균열의 증가법칙이 물체내 손상증가를 나타내는데 성공적으로 사용되었다. 응력과 모의변형도로 나타나는 구성방정식은 먼저 변형도조절에 대해 세워졌으며, 응력과 모의변형도를 모의응력과 변형도로 간단하게 대체함으로써 응력조절 구성방정식으로 변형되었다. 모의응력으로 나타낸 변형된 구성방정식은 응력조절모드에서 파괴에 이르는 아스팔트 콘크리트의 모든 역학적 거동을 충분히 예측하고 있다.

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