• 제목/요약/키워드: damage constitutive model

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철근콘크리트 지하철 정거장 구조물의 내진 성능 해석 (Seismic Performance Analysis of RC Subway Station Structures)

  • 남상혁;송하원;변근주
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2002년도 가을 학술발표회 논문집
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    • pp.123-128
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    • 2002
  • In this paper, an averaged constitutive model of concrete and reinforcing bars for RC structure and path-dependent Ohsaki's model for soil are applied, and an elasto-plastic interface model having thickness is preposed for seismic analysis of underground RC subway station structure. A finite element analysis technique is developed by applying aforementioned constitutive equations and verified through seismic analysis of underground RC subway station. Then, failure mechanisms of the RC subway station structure under seismic action are numerically derived. Then, failure modes and damage levels of the station are also analytically evaluated for the cases of several designs of the underground RC station.

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등가탄성에너지법에 의한 콘크리트의 연속체 손상모델 (Contimuum Damage Model of Concrete using Hypothesis of Equivalent Elastic Energy)

  • 이기성;변근주;송하원
    • 콘크리트학회지
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    • 제7권5호
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    • pp.172-178
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    • 1995
  • 콘크리트는 타설시부터 수많은 미세균열을 가지고 있으며, 이러한 미세균열등이 성장하고 전파되어 결국에는 콘크리트가 파괴된다. 이러한 일련의 과정을 손상이라 한다. 손상은 주로 2차 텐서로 표현되며 균열은 연속체적 현상으로 취급된다. 본 논문에서는 손상의 특성을 유효응력개념과 함께 등가탄성에너지법을 이용하여 나타내었으며, Helmholtz 자유에너지와 소산 포텐셜을 이용하여 손상모델의 손상전개와 구성방정식을 유도하였다. 구성방정식은 콘크리트의 탄성, 이방성 손상과 소성의 영향을 포함하도록 하였다. 두 가지 형태의 유효접선강성텐를 사용하였는데, 하나는 탄성-손상의 영향에 의한 것이며 다른 하나는 소성-손상의 영향에 의한 것이다. 모델을 검증하기 위하여 일축과 이축의 하중을 받는 콘크리트 요소에 대하여 유한요소해석을 하였으며 그 결과를 실험결과와 비교하였다.

Elasto-plastic damage modelling of beams and columns with mechanical degradation

  • Erkmen, R. Emre;Gowripalan, Nadarajah;Sirivivatnanon, Vute
    • Computers and Concrete
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    • 제19권3호
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    • pp.315-323
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    • 2017
  • Within the context of continuum mechanics, inelastic behaviours of constitutive responses are usually modelled by using phenomenological approaches. Elasto-plastic damage modelling is extensively used for concrete material in the case of progressive strength and stiffness deterioration. In this paper, a review of the main features of elasto-plastic damage modelling is presented for uniaxial stress-strain relationship. It has been reported in literature that the influence of Alkali-Silica Reaction (ASR) can lead to severe degradations in the modulus of elasticity and compression strength of the concrete material. In order to incorporate the effects of ASR related degradation, in this paper the constitutive model of concrete is based on the coupled damage-plasticity approach where degradation in concrete properties can be captured by adjusting the yield and damage criteria as well as the hardening moduli related parameters within the model. These parameters are adjusted according to results of concrete behaviour from the literature. The effect of ASR on the dynamic behaviour of a beam and a column are illustrated under moving load and cyclic load cases.

반복하중을 받는 스테인리스강의 이력거동 해석모델 개발 (Finite Element Simulation of Hysteretic Behavior of Structural Stainless Steel under Cyclic Loading)

  • 전준태
    • 한국재난정보학회 논문집
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    • 제15권2호
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    • pp.186-197
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    • 2019
  • 연구목적: 본 연구에서는 대변형 효과를 구현할 수 있는 유한요소 해석기법을 기반으로 반복하중에 의한 스테인리스강의 이력거동을 정확하게 평가할 수 있는 비선형 반복소성 손상모델을 개발하였다. 연구방법: 개선된 운동경화 모델과 등방경화 법칙을 연계하여 반복하중 하에서의 재료의 거동을 모사하는데 필요한 반복소성 모델을 개발하였으며, 이를 비선형 손상모델과 결합하였다. 연구결과 및 결론: 제안된 비선형 손상모델을 검증하기 위하여 변형률 제어 단조 및 반복하중 시험을 모사하였으며, 이를 통한 해석결과를 시험결과와 비교하였다. 비교 결과, 본 연구에서 제안한 비선형 손상모델은 스테인리스강의 반복하중 하에서의 이력거동을 정확하게 모사할 수 있음을 확인하였다.

Cohesive Interface Model on Concrete Materials

  • Rhee In-Kyu;Roh Young-Sook
    • 콘크리트학회논문집
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    • 제17권6호
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    • pp.1053-1064
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    • 2005
  • The mechanical damage of concrete is normally attributed to the formation of microcracks and their propagation and coalescence into macroscopic cracks. This physical degradation is caused from progressive and hierarchical damage of the microstructure due to debonding and slip along bimaterial interfaces at the mesoscale. Their growth and coalescence leads to initiation of hairline discrete cracks at the mesoscale. Eventually, single or multiple major discrete cracks develop at the macroscale. In this paper, from this conceptual model of mechanical damage in concrete, the computational efforts were made in order to characterize physical cracks and how to quantify the damage of concrete materials within the laws of thermodynamics with the aid of interface element in traditional finite element methodology. One dimensional effective traction/jump constitutive interface law is introduced in order to accommodate the normal opening and tangential slips on the interfaces between different materials(adhesion) or similar materials(cohesion) in two and three dimensional problems. Mode I failure and mixed mode failure of various geometries and boundary conditions are discussed in the sense of crack propagation and their spent of fracture energy under monotonic displacement control.

Homogenization based continuum damage mechanics model for monotonic and cyclic damage evolution in 3D composites

  • Jain, Jayesh R.;Ghosh, Somnath
    • Interaction and multiscale mechanics
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    • 제1권2호
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    • pp.279-301
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    • 2008
  • This paper develops a 3D homogenization based continuum damage mechanics (HCDM) model for fiber reinforced composites undergoing micromechanical damage under monotonic and cyclic loading. Micromechanical damage in a representative volume element (RVE) of the material occurs by fiber-matrix interfacial debonding, which is incorporated in the model through a hysteretic bilinear cohesive zone model. The proposed model expresses a damage evolution surface in the strain space in the principal damage coordinate system or PDCS. PDCS enables the model to account for the effect of non-proportional load history. The loading/unloading criterion during cyclic loading is based on the scalar product of the strain increment and the normal to the damage surface in strain space. The material constitutive law involves a fourth order orthotropic tensor with stiffness characterized as a macroscopic internal variable. Three dimensional damage in composites is accounted for through functional forms of the fourth order damage tensor in terms of components of macroscopic strain and elastic stiffness tensors. The HCDM model parameters are calibrated from homogenization of micromechanical solutions of the RVE for a few representative strain histories. The proposed model is validated by comparing results of the HCDM model with pure micromechanical analysis results followed by homogenization. Finally, the potential of HCDM model as a design tool is demonstrated through macro-micro analysis of monotonic and cyclic damage progression in composite structures.

지반 크리프 거동의 미시학적 모델링 (Microscopic Modeling of Creep Behavior for Soils)

  • 김대규
    • 한국산학기술학회논문지
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    • 제7권3호
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    • pp.409-413
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    • 2006
  • 미시학적 비배수 크리프 현상의 누적 변형은 점성토 시공지역 지반의 전반 파괴를 야기 할 수 있다. 본 연구에서는 점성토의 비배수 크리프 거동을 예측하기 위하여 Perzyna의 일반 점성이론을 소성론의 개념에서 간략화하고 수정 Cam clay 모델 및 데미지 이론을 포함하는 하나의 시간의존적 구성방정식을 유도하였다. 유도된 구성방정식을 활용하여 예측한 크리프 거동은 비배수 크리프 파괴를 포함하는 크리프 실험결과와 잘 부합하였다.

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Finite Element Analysis for Plastic Large Deformation and Anisotropic Damage

  • Nho, In-Sik;Yim, Sahng-Jun
    • Journal of Hydrospace Technology
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    • 제1권1호
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    • pp.111-124
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    • 1995
  • An improved analysis model for material nonlinearity induced by elasto-plastic deformation and damage including a large strain response was proposed. The elasto-plastic-damage constitutive model based on the continuum damage mechanics approach was adopted to overcome limitations of the conventional plastic analysis theory. It can manage the anisotropic tonsorial damage evolved during the time-independent plastic deformation process of materials. Updated Lagrangian finite element formulation for elasto-plastic damage coupling problems including large deformation, large rotation and large strain problems was completed to develop a numerical model which can predict all kinds of structural nonlinearities and damage rationally. Finally a finite element analysis code for two-dimensional plane problems was developed and the applicability and validity of the numerical model was investigated through some numerical examples. Calculations showed reasonable results in both geometrical nonlinear problems due to large deformation and material nonlinearity including the damage effect.

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손상역학에 의한 크리프 거동 및 수명 모델링 (Modeling Creep Behavior and Life by Damage Mechanics)

  • 신창환;정일섭;채영석
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1833-1840
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    • 2000
  • Commercially pure copper is tested to obtain creep curves at 2500C. Constitutive relations adopting continuum damage mechanics concept is found to be appropriate to model the creep defor mation up to the tertiary stage. Microscopic observation by SEM reveals that creep condition induces cavities and microcracks subsequently. The constitutive equations along with evaluated creep parameters are implemented into finite element analysis code. The analysis reproduces creep curves under step loading as well as constant loading with reasonable accuracy. Distribution and evolution of damage under creep loading are numerically simulated for two different types of notched specimen. Predicted creep life agrees quite well with rupture test results. The influence of mesh size at notch tip on rupture time prediction is studied, and a degree of refinement is suggested for the specific notched specimens.

Numerical simulation of shaking table test on concrete gravity dam using plastic damage model

  • Phansri, B.;Charoenwongmit, S.;Warnitchai, P.;Shin, D.H.;Park, K.H.
    • Structural Engineering and Mechanics
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    • 제36권4호
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    • pp.481-497
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    • 2010
  • The shaking table tests were conducted on two small-scale models (Model 1 and Model 2) to examine the earthquake-induced damage of a concrete gravity dam, which has been planned for the construction with the recommendation of the peak ground acceleration of the maximum credible earthquake of 0.42 g. This study deals with the numerical simulation of shaking table tests for two smallscale dam models. The plastic damage constitutive model is used to simulate the crack/damage behavior of the bentonite-concrete mixture material. The numerical results of the maximum failure acceleration and the crack/damage propagation are compared with experimental results. Numerical results of Model 1 showed similar crack/damage propagation pattern with experimental results, while for Model 2 the similar pattern was obtained by considering the modulus of elasticity of the first and second natural frequencies. The crack/damage initiated at the changing point in the downstream side and then propagated toward the upstream side. Crack/damage accumulation occurred in the neck area at acceleration amplitudes of around 0.55 g~0.60 g and 0.65 g~0.675 g for Model 1 and Model 2, respectively.