• 제목/요약/키워드: Finite Mixture Models

검색결과 46건 처리시간 0.033초

An investigation into the shear strength of SFRC beams with opening in web using NFEM

  • Karimi, Mohammad;Hashemia, Seyed Hamid
    • Computers and Concrete
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    • 제21권5호
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    • pp.539-546
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    • 2018
  • Making a transverse opening in concrete beams in order to accommodate utility services through the member instead of below or above of that, sometimes may be necessary. It is obvious that inclusions of an opening in a beam decreases its flexural and shear strengths. Fabricated steel bars are usually used to increase the capacity of the opening section, but details of reinforcements around the opening are dense and complex resulting in laborious pouring and setup process. The goal of this study was to investigate the possibility of using steel fibers in concrete mixture instead of complex reinforcement detailing order to strengthen opening section. Nonlinear finite element method was employed to investigate the behavior of steel fiber reinforced concrete beams. The numerical models were validated by comparison with experimental measurements tested by other investigators and then used to study the influence of fiber length, fiber aspect ratio and fiber content on the shear performance of SFRC slender beams with opening. Finally, it was concluded that the predicted shear strength enhancement is considerably influenced by use of steel fibers in concrete mixture but the effect of fiber length and fiber aspect ratio wasn't significant.

능동 화이버 복합재의 모델링 및 적용 연구 (Modeling and Application of Active Fiber Composites)

  • 하성규;이영우;김영호
    • 대한기계학회논문집A
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    • 제25권8호
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    • pp.1261-1268
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    • 2001
  • Effective material properties of active fiber composites with interdigitated electrodes are derived as a function of the fiber volume fraction. For the purpose of applying the rule of mixture, three unit cell models are introduced; each for the deformation and stress continuities in the out of plane and in-plane directions, and the continuity of the electrical displacement in the longitudinal direction. Derived effective material properties are compared with the results by the finite element method; good agreements are observed between them. As an application, the electromechanical behavior of the angle ply laminates with the active fiber layers bonded on the top and bottom surfaces are investigated; the angle of piezoelectric fiber to maximize the twisting curvature is obtained using the present model.

Extreme value modeling of structural load effects with non-identical distribution using clustering

  • Zhou, Junyong;Ruan, Xin;Shi, Xuefei;Pan, Chudong
    • Structural Engineering and Mechanics
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    • 제74권1호
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    • pp.55-67
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    • 2020
  • The common practice to predict the characteristic structural load effects (LEs) in long reference periods is to employ the extreme value theory (EVT) for building limit distributions. However, most applications ignore that LEs are driven by multiple loading events and thus do not have the identical distribution, a prerequisite for EVT. In this study, we propose the composite extreme value modeling approach using clustering to (a) cluster initial blended samples into finite identical distributed subsamples using the finite mixture model, expectation-maximization algorithm, and the Akaike information criterion; (b) combine limit distributions of subsamples into a composite prediction equation using the generalized Pareto distribution based on a joint threshold. The proposed approach was validated both through numerical examples with known solutions and engineering applications of bridge traffic LEs on a long-span bridge. The results indicate that a joint threshold largely benefits the composite extreme value modeling, many appropriate tail approaching models can be used, and the equation form is simply the sum of the weighted models. In numerical examples, the proposed approach using clustering generated accurate extrema prediction of any reference period compared with the known solutions, whereas the common practice of employing EVT without clustering on the mixture data showed large deviations. Real-world bridge traffic LEs are driven by multi-events and present multipeak distributions, and the proposed approach is more capable of capturing the tendency of tailed LEs than the conventional approach. The proposed approach is expected to have wide applications to general problems such as samples that are driven by multiple events and that do not have the identical distribution.

Numerical simulation of dimensional changes during sintering of tungsten carbides compacts

  • Bouvard, D.;Gillia, O.
    • 한국분말야금학회:학술대회논문집
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    • 한국분말야금학회 1997년도 추계학술강연 및 발표대회 강연 및 발표논문 초록집
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    • pp.7-7
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    • 1997
  • During sintering of very porous green bodies, as obtained by compaction of hard powders - such as tungsten carbide or ceramics - or by injection moulding, important shrinkage occurs. Due to heterogeneous green density field, gravity effects, friction on the support, thermal gradients, etc., this shrinkage is often non-uniform, which' may induce significant shape changes. As the ratio of compact dimension to powder size is very high, the mechanics of continuum is relevant to model such phenomena. Thus numerical techniques, such as the finite element method can be used to simulate the sintering process and predict the final shape of the sintered part. Such type of simulation has much been developed in the last decade firstly for hot isostatic pressing and next for die compaction. Finite element modelling has been recently applied to free sintering. The simulation of sintering should be based on constitutive equations describing the thermo-mechanical behaviour of the material under any state of stress and any temperature which may arise within the sintering body. These equations can be drawn either from experimental data or from micromechanical models. The experiments usually consist in free sintering and sinter-forging tests. Indeed applying more complex loading conditions at high temperature under controlled atmosphere is delicate. Micromechanical models describe the constitutive behaviour of aggregates of spheres from the deformation of two-sphere contact either by viscous flow or grain boundary diffusion. Such models are not able to describe complex microstructure and mechanisms as observed in real materials but they can give some basic information on the formulation of constitutive equations. Practically both experimental and theoretical approaches can be coupled to identify the constitutive equations. Such procedure has been performed for modelling the sintering of compacts obtained by die pressing of a mixture of tungsten carbide and cobalt powders. The constitutive behaviour of this material during sintering has been described by a linear viscous constitutive model, whose functions have been fitted from results of free sintering and sinter-forging experiments. This model has next been introduced in ABAQUS finite element code to simulate the sintering of heterogeneous green compacts of various geometries at constant temperature. Examples of simulations are shown and compared with experiments.

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섬유의 적층각을 고려한 다이아프램형 공기 스프링의 유한요소 해석 (Finite Element Analysis of Diaphragm Type Air Springs considering the Variation of Fiber Angles)

  • 이형욱;김세호;허훈;김진영;정수교
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 1999년도 춘계학술발표대회 논문집
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    • pp.29-33
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    • 1999
  • this paper concerned with the stress analysis of a diaphragm-type air spring which consists of rubber linings nylon reinforced rubber composite. The analysis is carried out with a finite element method developed to consider the orthotropic properties geometric non-linearity and contact between an air bag and a bead ring The material properties are evaluated with the Halpio-Tsai equations and the rule of mixture. The analysis results demonstrate the variation of the outer diameter the fold height and the vertical force with different models to the design a proper diaphragm air springs.

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섬유 보강 복합재료의 미시역학적 거동 해석 (Analysis of Micromechanical Behavior for Fiber-Reinforced Composites)

  • 정재연;하성규
    • 대한기계학회논문집A
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    • 제28권10호
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    • pp.1435-1450
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    • 2004
  • The investigation, which includes the material homogenization and the calculation of local stress concentration of long-fibrous composites in a microscopic level, has been performed to analyze the behavior of fiber-reinforced composites by using finite element method. In order to carry out this study, the finite element models of composites have been generated by the idealized arrays as square and hexagonal-packed type. In the FE analysis, the boundary conditions of micromechanical finite element method(MFEM) have been defined and verified by comparing with the results from multi-cells, and the effective material properties of composites composed of graphite/epoxy have been also evaluated by rules of mixture. For acquiring the relation between the global and local behaviors of composites, the magnifications of strain, stress, and interfacial stress of composites subjected to a longitudinal and transverse loading respectively have been calculated. And the magnifications have been proposed as the stress concentration in the microscopic level at composite material.

혼합 가우시안 군집화를 이용한 상태공유 음향모델 최적화 (A Study on the Optimization of State Tying Acoustic Models using Mixture Gaussian Clustering)

  • 안태옥
    • 대한전자공학회논문지SP
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    • 제42권6호
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    • pp.167-176
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    • 2005
  • 본 논문은 음성인식에 쓰이는 음향모델의 모델링 방법 중 결정트리 상태공유 모델링(DTST)을 기반으로 출력 확률 분포의 혼합 가우시안 수를 줄여 모델을 최적화하는 방법을 제안한다. DTST는 음성학적 지식을 포함할 수 있는 질의어 집합과 유사도를 기반으로 한 결정 방법을 이용하는 것이다. 이때 상태들의 출력 확률 분포의 혼합 가우시안 수를 늘려 인식률을 증가시킬 수 있게 된다. 본 논문에서는 인식률이 최대가 되는 지점에서 혼합 가우시안들을 군집화 하여 그 수를 줄이고자 한다. 군집화 시에 필요한 거리 측정 방법은 유클리드(Euclidean)와 바타챠랴(Bhattacharyya) 방법을 이용하였고, 새로운 가우시안은 거리가 최소가 되는 두 가우시안으로부터 평균과 분산을 다시 계산하여 생성하였다. 증권상장 회사명(STOCKNAME) 1,680개의 단어 데이터베이스를 구성하여 실험한 결과 바타챠랴 방법은 $97.2\%$의 인식률을 유지하면서 전체 혼합 가우시안 수의 비율을 $1.0\%$로 감소시켰고, 유클리드 방법은 $96.9\%$의 인식률을 유지하면서 혼합 가우시안 수의 비율을 $1.0\%$로 감소시켜 모델을 최적화할 수 있었다.

Springback FE modeling of titanium alloy tubes bending using various hardening models

  • Shahabi, Mehdi;Nayebi, Ali
    • Structural Engineering and Mechanics
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    • 제56권3호
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    • pp.369-383
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    • 2015
  • In this study, effect of various material hardening models based on Holloman's isotropic, Ziegler's linear kinematic, non-linear kinematic and mixture of the isotropic and nonlinear kinematic hardening laws on springback prediction of titanium alloy (Ti-3Al-2.5V) in a tube rotary draw bending (RDB) process was investigated with presenting the keynotes for a comprehensive step by step ABAQUS simulation. Influence of mandrel on quality of the final product including springback, wall-thinning and cross-section deformation of the tube was investigated, too. Material parameters of the hardening models were obtained based on information of a uniaxial test. In particular, in the case of combined iso-nonlinear kinematic hardening the material constants were calibrated by a simple approach based on half-cycle data instead of several stabilized cycles ones. Moreover, effect of some material and geometrical parameters on springback was carried out. The results showed that using the various hardening laws separately cannot describe the material hardening behavior correctly. Therefore, it is concluded that combining the hardening laws is a good idea to have accurate springback prediction. Totally the results are useful for predicting and controlling springback and cross-section deformation in metal forming processes.

초기재령 콘크리트의 수화도와 온도 및 습도분포 해석 (Determination of Degree of Hydration, Temperature and Moisture Distributions in Early-age Concrete)

  • 차수원;오병환;이형준
    • 콘크리트학회논문집
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    • 제14권6호
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    • pp.813-822
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    • 2002
  • 본 연구에서 초기재령 콘크리트의 단면 내 수화도와 온도 및 습도분포를 구하는 3차원 유한요소 해석 프로그램을 개발하기 위한 수화도에 따른 재료 모델을 제시하고, 수치해석 절차에 관하여 정립하였다. 재료물성이 급격히 변화하는 초기재령 콘크리트의 거동을 모사하는 과정에서 온도 및 습도에 관련된 재료 물성이 수화도에 따라 결정하였다. 또한 수분거동 연구는 경화한(mature) 콘크리트에 대해서는 여러 연구자에 의해 수행되었지만, 초기재령 콘크리트의 전달계수, 수분용량에 관한 연구는 제대로 정립되지 않은 실정이다. 또한 일반적으로 보통콘크리트에서 무시되는 수분감소항은 고강도 및 고성능 콘크리트의 자기건조(self-desiccation)와 관련된 자기수축(autogenous shrinkage)을 유발하고, 이는 구조물의 장기 내구성 및 사용성 측면에서 중요한 관심사이다. 따라서 본 연구는 초기재령 콘크리트의 온도 및 수축에 의한 응력을 평가하기 위하여, 고강도 및 고성능 콘크리트를 포함한 초기재령 콘크리트의 온도 및 수분거동을 적절히 표현하는 수학적 재료 모델을 제시하고, 콘크리트의 단면 내 수화도와 온도 및 습도분포를 결정하는 3차원 유한요소 해석 프로그램을 개발하였다. 개발된 해석프로그램을 이용한 수치해석 결과는 실험결과와의 비교를 통하여 그 타당성을 검증하였다.

골 시멘트 중합 비율 변경이 척추성형술 치료에 미치는 영향에 대한 비교 분석 (A Micro Finite Element Analysis on Effects of Altering Monomer-to-Powder ]Ratio of Bone Cement During Vertebroplasty)

  • 김형도;탁계래;김한성
    • 대한의용생체공학회:의공학회지
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    • 제23권6호
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    • pp.451-458
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    • 2002
  • 골다공증이란 골량의 감소에 의해 야기되며. 해면골 미세구조의 골밀도가 감소하는 질병이다. 약물치료(부갑상선 호르몬)법은 골소주의 두께 및 골의 강도를 어느 정도 증가시킬 수 있는 호르몬 치료법이다. 척추성형술은 골다공성 척추 압박 골절의 치료를 위하여 척추 해면골에 주사기를 통하여 골 시멘트를 주입하는 최소 침습적 수술법이다. 임상적으로 골 시멘트의 물성치에 영향을 미치더라도 점성 감소와 주입 시간 확보를 위해 중합비율을 변경하여 사용한다. 본 연구의 목적은 골 시멘트 중합비율 변경에 따른 척추 해면골의 역학적 특성을 알아보고자 한다. 본 논문에서 는 수정된 보로노이 도형을 이용하여 척추 해면골의 유한요소 모델을 생성하고, 골 시멘트의 중합비율(0.40~l.07$m\ell$/g)에 따른 척추 해면골의 강도회복 정도를 비교하였다. 또한 골다공증 치료에서 호르몬 치료와 골 시멘트 치료의 상대적인 영향을 비교 분석하였다. 분석결과 골 시멘트 치료모델의 탄성계수와 강도는 정상 상태의 약 50%로 회복되었으며, 이 값은 호르몬 치료 모델의 약 2배이다. 0.53$m\ell$/g의 중합비율에서 골 시멘트의 탄성계수와 강도가 최고이며 1.07$m\ell$/g의 중합비율에서 최소의 탄성계수와 강도(각각 42%와 49%)이지만 약물 치료보다는 더 효과적임을 알 수 있다. 척추성형술시 제작사에서 추천하는 중합비율과 다른 비율을 사용할 경우 골 시멘트의 물성치 감소뿐만 아니라 환자의 골 밀도에 따라서 해면골의 강도회복에 문제가 발생할 수 있다는 것을 알 수 있었다.