• 제목/요약/키워드: Continuum analysis

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연속체 손상역학을 이용한 수치 피로시험 기법 (Numerical Fatigue Test Method Based on Continuum Damage Mechanics)

  • 이치승;김영환;김태우;이제명
    • Journal of Welding and Joining
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    • 제25권1호
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    • pp.63-69
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    • 2007
  • Once assessment of material failure characteristics is captured precisely in a unified way, it can bedirectly incorporated into the structural failure assessment under various loading environments, based on the theoretical backgrounds so called Local Approach to Fracture. The aim of this study is to develop a numerical fatigue test method by continuum damage mechanics applicable for the assessment of structural integrity throughout crack initiation and structural failure based on the Local Approach to Fracture. The generalized elasto-visco-plastic constitutive equation, which can consider the internal damage evolution behavior, is developed and employed in the 3-D FEA code in order to numerically evaluate the material and/or structural responses. Explicit information of the relationships between the mechanical properties and material constants, which are required for the mechanical constitutive and damage evolution equations for each material, are implemented in numerical fatigue test method. The material constants selected from constitutive equations are used directly in the failure assessment of material and/or structures. The performance of the developed system has been evaluated with assessing the S-N diagram of stainless steel materials.

Extraction of a crack opening from a continuous approach using regularized damage models

  • Dufour, Frederic;Pijaudier-Cabot, Gilles;Choinska, Marta;Huerta, Antonio
    • Computers and Concrete
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    • 제5권4호
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    • pp.375-388
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    • 2008
  • Crack opening governs many transfer properties that play a pivotal role in durability analyses. Instead of trying to combine continuum and discrete models in computational analyses, it would be attractive to derive from the continuum approach an estimate of crack opening, without considering the explicit description of a discontinuous displacement field in the computational model. This is the prime objective of this contribution. The derivation is based on the comparison between two continuous variables: the distribution if the effective non local strain that controls damage and an analytical distribution of the effective non local variable that derives from a strong discontinuity analysis. Close to complete failure, these distributions should be very close to each other. Their comparison provides two quantities: the displacement jump across the crack [U] and the distance between the two profiles. This distance is an error indicator defining how close the damage distribution is from that corresponding to a crack surrounded by a fracture process zone. It may subsequently serve in continuous/discrete models in order to define the threshold below which the continuum approach is close enough to the discrete one in order to switch descriptions. The estimation of the crack opening is illustrated on a one-dimensional example and the error between the profiles issued from discontinuous and FE analyses is found to be of a few percents close to complete failure.

Modeling of CNTs and CNT-Matrix Interfaces in Continuum-Based Simulations for Composite Design

  • Lee, Sang-Hun;Shin, Kee-Sam;Lee, Woong
    • 한국재료학회지
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    • 제20권9호
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    • pp.478-482
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    • 2010
  • A series of molecular dynamic (MD), finite element (FE) and ab initio simulations are carried out to establish suitable modeling schemes for the continuum-based analysis of aluminum matrix nanocomposites reinforced with carbon nanotubes (CNTs). From a comparison of the MD with FE models and inferences based on bond structures and electron distributions, we propose that the effective thickness of a CNT wall for its continuum representation should be related to the graphitic inter-planar spacing of 3.4${\AA}$. We also show that shell element representation of a CNT structure in the FE models properly simulated the carbon-carbon covalent bonding and long-range interactions in terms of the load-displacement behaviors. Estimation of the effective interfacial elastic properties by ab initio simulations showed that the in-plane interfacial bond strength is negligibly weaker than the normal counterpart due to the nature of the weak secondary bonding at the CNT-Al interface. Therefore, we suggest that a third-phase solid element representation of the CNT-Al interface in nanocomposites is not physically meaningful and that spring or bar element representation of the weak interfacial bonding would be more appropriate as in the cases of polymer matrix counterparts. The possibility of treating the interface as a simply contacted phase boundary is also discussed.

F1/F2의 변화가 한국어 /오/, /우/ 모음의 지각판별에 미치는 영향 (Effects of F1/F2 Manipulation on the Perception of Korean Vowels /o/ and /u/)

  • 윤지현;성철재
    • 말소리와 음성과학
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    • 제5권3호
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    • pp.39-46
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    • 2013
  • This study examined the perception of two Korean vowels using F1/F2 manipulated synthetic vowels. Previous studies indicated that there is an overlap between the acoustic spaces of Korean /o/ and /u/ in terms of the first two formants. A continuum of eleven synthetic vowels were used as stimuli. The experiment consisted of three tasks: an /o/ identification task (Yes-no), an /u/ identification task (Yes-no), and a forced choice identification task (/o/-/u/). ROC(Receiver Operating Characteristic) analysis and logistic regression were performed to calculate the boundary criterion of the two vowels along the stimulus continuum, and to predict the perceptual judgment on F1 and F2. The result indicated that the location between stimulus no.5 (F1 = 342Hz, F2 = 691Hz) and no.6 (F1 = 336Hz, F2 = 700Hz) was estimated as a perceptual boundary region between /o/ and /u/, while stimulus no.0 (F1=405Hz, F2=666Hz) and no.10 (F1=321Hz, F2=743Hz) were at opposite ends of the continuum. The influence of F2 was predominant over F1 on the perception of the vowel categories.

Submillimeter Observations of the Infrared Dark Cloud G049.40-00.01

  • 강미주;최민호;;노정희;이정은
    • 천문학회보
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    • 제37권1호
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    • pp.77.2-77.2
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    • 2012
  • Infrared dark clouds(IRDCs) are believed to be the progenitors of massive stars and clusters. We obtained 350 and 850 ${\mu}m$ continuum maps of the IRDC G049.40-00.01 using SHARC-II on CSO. Twenty-one dense clumps were identified within G049.40-00.01 based on the 350 ${\mu}m$ continuum map with an angular resolution of about 9.6". We present submillimeter continuum maps and report physical properties of the clumps. The masses of clumps are from 50 to 600 solar mass. About 70% of the clumps are associated with bright 24 ${\mu}m$ emission sources indicating protostars. The most massive two clumps show enhanced, extended 4.5 ${\mu}m$ emission representing on-going star forming activity. The size-mass distribution of the clumps suggests that many of them are forming high-mass stars. G049.40-00.01 contains numerous objects in various evolutionary stages of star formation, from pre-stellar clumps to H II regions.

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천이영역의 희박기체 압축성 경계층 해석 (Analysis of rarefied compressible boundary layers in transition regime)

  • 최서원
    • 대한기계학회논문집B
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    • 제21권4호
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    • pp.509-517
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    • 1997
  • Results of flat plate compressible boundary layer calculation, based on discrete formulation of DSMC method, are presented in low Mach number and low Knudsen number range. The free stream is a uniform flow of pure nitrogen at various Mach numbers in low pressures (i.e. rarefied gas). Complete thermal accommodation and diffuse molecular reflections are used as the wall boundary condition, replacing unreal no-slip condition used in continuum calculations. In the discrete formulation of DSMC method, there is no need to use ad hoc assumptions on transport properties like viscosity and thermal conductivity, instead viscosity is calculated from values of other field variables (velocity and shear stress). Also the results are compared with existing self-similar continuum solutions. In all Mach number cases computed, velocity slip is most pronounced in regions near the leading edge where continuum formulation renders the solution singular. As the boundary layer develops further downstream, velocity slips asymptote to values that are between 10 to 20% of the magnitude of free stream velocity. When the free stream number density is reduced, so the gas more rarefied, the velocity slip increases as expected.

Determination of the Vlasov foundation parameters -quadratic variation of elasticity modulus- using FE analysis

  • Celik, Mecit;Omurtag, Mehmet H.
    • Structural Engineering and Mechanics
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    • 제19권6호
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    • pp.619-637
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    • 2005
  • The objective of this research was to determine the Vlasov soil parameters for quadratically varying elasticity modulus $E_s$(z) of the compressible soil continuum and discuss the interaction affect between two close plates. Interaction problem carried on for uniformly distributed load carrying plates. Plate region was simulated by Kirchhoff plate theory based (mixed or displacement type) 2D elements and the foundation continuum was simulated by displacement type 2D elements. At the contact region, plate and foundation elements were geometrically coupled with each other. In this study the necessary formulas for the Vlasov parameters were derived when Young's modulus of the soil continuum was varying as a quadratic function of z-coordinate through the depth of the foundation. In the examples, first the elements and the iterative FE algorithm was verified and later the results of quadratic variation of $E_s$(z) were compared with the previous examples in order to discuss the general behavior. As a final example two plates close to each other resting on elastic foundation were handled to see their interaction influences on the Vlasov foundation parameters. Original examples were solved using both mixed and displacement type plate elements in order to confirm the results.

Stochastic identification of masonry parameters in 2D finite elements continuum models

  • Giada Bartolini;Anna De Falco;Filippo Landi
    • Coupled systems mechanics
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    • 제12권5호
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    • pp.429-444
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    • 2023
  • The comprehension and structural modeling of masonry constructions is fundamental to safeguard the integrity of built cultural assets and intervene through adequate actions, especially in earthquake-prone regions. Despite the availability of several modeling strategies and modern computing power, modeling masonry remains a great challenge because of still demanding computational efforts, constraints in performing destructive or semi-destructive in-situ tests, and material uncertainties. This paper investigates the shear behavior of masonry walls by applying a plane-stress FE continuum model with the Modified Masonry-like Material (MMLM). Epistemic uncertainty affecting input parameters of the MMLM is considered in a probabilistic framework. After appointing a suitable probability density function to input quantities according to prior engineering knowledge, uncertainties are propagated to outputs relying on gPCE-based surrogate models to considerably speed up the forward problem-solving. The sensitivity of the response to input parameters is evaluated through the computation of Sobol' indices pointing out the parameters more worthy to be further investigated, when dealing with the seismic assessment of masonry buildings. Finally, masonry mechanical properties are calibrated in a probabilistic setting with the Bayesian approach to the inverse problem based on the available measurements obtained from the experimental load-displacement curves provided by shear compression in-situ tests.

레코드 컨티뉴엄 이론의 기원에 관한 연구 라이프사이클 모델과의 비교를 중심으로 (A Study on the Origin of Record Continuum Theory : Focusing on the Comparison with Record Lifecycle Model)

  • 김명훈
    • 기록학연구
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    • 제68호
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    • pp.5-39
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    • 2021
  • 본 연구에서는 레코드 컨티뉴엄 이론의 기원을 20세기 중반 이후 호주의 기록관리 상황 및 라이프사이클 모델과 결부하여 분석하였다. 레코드 컨티뉴엄 이론에 대한 심도 있는 이해를 위해서는 형성 배경 및 과정에 대한 고찰이 필요하며, 아울러 라이프사이클 모델에 대한 반향으로 구축된 이론체계란 점에서 라이프사이클 모델 자체에 대한 분석 역시 전제되어야 하기 때문이다. 이를 위해 우선 레코드 컨티뉴엄 이론형성의 역사적 배경 분석을 목표로, 1950년대 호주의 독립된 공공기록관리 체제의 모색 과정 속에서 미국의 라이프사이클 모델을 집중적으로 조명하게 된 배경 및 과정을 고찰하였다. 이어 라이프사이클 모델의 형성 배경과 함께 의미 및 한계를 고찰하였다. 라이프사이클 모델의 주요 내용 및 의의, 한계를 고찰하기 위해서는 어떠한 상황 속에서 형성되었는지에 대한 분석이 필요하며, 아울러 레코드 컨티뉴엄 이론이 라이프사이클 모델에 대한 비판을 통해 형성되었다면, 라이프사이클 모델이 지닌 의의 및 한계에 대한 고찰이 필요하기 때문이다. 이러한 분석을 토대로 마지막으로 호주의 새로운 기록생산 환경 속에 라이프사이클 모델의 적용에 따른 문제점과 더불어, 이를 기반으로 새롭게 태동된 레코드 컨티뉴엄 이론의 기원이 된 요소들을 고찰하였다.

극한과 무한집합의 상호작용과 그 교육적 시사점에 대한 역사적 연구 (A Historical Study on the Interaction of the Limit-the Infinite Set and Its Educational Implications)

  • 박선용
    • 한국수학사학회지
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    • 제31권2호
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    • pp.73-91
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    • 2018
  • This study begins with the awareness of problem that the education of mathematics teachers has failed to link the limit and the infinite set conceptually. Thus, this study analyzes the historical and reciprocal development of the limit and the infinite set, and discusses how to improve the education of these concepts and their relation based on the outcome of this analysis. The results of the study confirm that the infinite set is the historical tool of linking the limit and the real numbers. Also, the result shows that the premise of 'the component of the straight line is a point.' had the fundamental role in the construction of the real numbers as an arithmetical continuum and that the moral certainty of this premise would be obtained through a thought experiment using an infinite set. Based on these findings, several proposals have been made regarding the teacher education of awakening someone to the fact that 'the theoretical foundation of the limit is the real numbers, and it is required to introduce an infinite set for dealing with the real numbers.' in this study. In particular, by presenting one method of constructing the real numbers as an arithmetical continuum based on a thought experiment about the component of the straight line, this study opens up the possibility of an education that could get the limit values psychologically connected to the infinite set in overcoming the epistemological obstacle related to the continuum concept.