• 제목/요약/키워드: Linear behavior

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유연수지를 기지재료로 하는 복합재료의 비선형거동 예측 (Prediction of Non-linear Behavior of Flexible Matrix Composites)

  • 서영욱;우경식
    • 한국항공우주학회지
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    • 제34권10호
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    • pp.24-31
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    • 2006
  • 본 논문에서는 유연수지 복합재료에 대하여 기하학적 비선형해석을 수행하였다. 실제 랜덤한 섬유배열을 사각배열과 육각배열로 가정하고 각각에 대해 단위구조를 정의하였다. 다양한 하중상태를 수치적으로 모사하여 단위구조해석을 통해 전체 구조물의 응력-변형률 선도를 예측하였고 이로부터 등가물성치를 계산하였다. 해석시 유연수지의 초탄성 성질을 정의하기 위해 Mooney-Rivlin모델을 사용하였다. 계산결과, 유연수지 복합재료 구조물은 변형률 증가에 따라 비선형의 응력-변형률 관계를 보였다. 비선형성은 횡방향 하중 상태에서 더욱 두드러지게 나타났으며, 이 경우 복합재 단면의 섬유배열 형태에 따라 상당한 차이를 보여주었다.

Elastic-plastic fracture of functionally graded circular shafts in torsion

  • Rizov, Victor I.
    • Advances in materials Research
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    • 제5권4호
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    • pp.299-318
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    • 2016
  • Analytical investigations were performed of a longitudinal crack representing a cylindrical surface in circular shafts loaded in torsion with taking into account the non-linear material behavior. Both functionally graded and multilayered shafts were analyzed. It was assumed that the material is functionally graded in radial direction. The mechanical behavior of shafts was modeled by using non-linear constitutive relations between the shear stresses and shear strains. The fracture was studied in terms of the strain energy release rate. Within the framework of small strain approach, the strain energy release rate was derived in a function of the torsion moments in the cross-sections ahead and behind the crack front. The analytical approach developed was applied to study the fracture in a clamped circular shaft. In order to verify the solution derived, the strain energy release rate was determined also by considering the shaft complimentary strain energy. The effects were evaluated of material properties, crack location and material non-linearity on the fracture behavior. The results obtained can be applied for optimization of the shafts structure with respect to the fracture performance. It was shown that the approach developed in the present paper is very useful for studying the longitudinal fracture in circular shafts in torsion with considering the material non-linearity.

The Effects of the Distribution Aspect of Precipitate on the Corrosion Behavior of As-Cast Magnesium Alloys

  • 이충도
    • 소성∙가공
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    • 제8권3호
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    • pp.295-295
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    • 1999
  • In the present study, the corrosion behavior of AZ91D as-cast alloy was investigated form the viewpoint of the distribution aspect of precipitate ($Mg_{17}Al_{12}$) and the variation of Al concentration in the Mg-rich matrix. The dendrite arm spacing (DAS) of an as-cast specimen was measured as a function of degree which describes the distribution aspect of the precipitate, and the salt spray test was conducted for various grain-sired specimens fur 20 days. The dendrite arm spacing increased as the grain size increased to about 150㎛, but a constant value is indicated when the grain size exceeds that range. Although the relationship between the corrosion rate and grain size is of a nonlinear type, the linear trend between the corrosion rate and the dendrite arm spacing is maintained for the overall range of dendrite arm spacing. Since the precipitate in the as-cast alloy is discontinuously distributed, this linear relationship means that the variation of Al-solute concentration in the Mg-rich matrix has a more potent effect than the protective action of the precipitate on the corrosion behavior of an as-cast alloy.

부분 강합성보의 시간의존적 거동해석 (Time-Dependent Behavior of Partially Composite Beams)

  • 곽효경;서영재
    • 한국전산구조공학회논문집
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    • 제13권4호
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    • pp.461-473
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    • 2000
  • 이 논문은 콘크리트의 크리프와 건조수축 현상을 고려한 강재와 콘크리트의 부분 합성보의 거동의 해석을 위한 모델을 제안하고 있다. 부분합성 거동은 선형 부분전단 연결이론을 토대로 합성보를 일정한 수의 요소로 분할한 후 각 절점에서 평형조건과 적합조건을 기초로하여 구성 방정식을 구성하고 경계조건과 각 요소에 대한 구성 방정식을 순차적으로 적용하는 방법으로 해석모델이 구성되었다. 또한 콘크리트의 시간에 따른 현상인 크리프와 건조수축의 영향도 고려되었다. 제안된 해석모델은 다경간 연속 합성보의 슬립거동을 효과적으로 나타낼 수 있다. 제안된 해석 모델의 검증을 위해 기존 연구의 결과와 비교되었으며, 여러 조건에 대한 합성보의 해석을 통해 제안된 모델의 적용성을 입증하였다.

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Evaluating the accuracy of a new nonlinear reinforced concrete beam-column element comprising joint flexibility

  • Izadpanah, Mehdi;Habibi, AliReza
    • Earthquakes and Structures
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    • 제14권6호
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    • pp.525-535
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    • 2018
  • This study presents a new beam-column model comprising material nonlinearity and joint flexibility to predict the nonlinear response of reinforced concrete structures. The nonlinear behavior of connections has an outstanding role on the nonlinear response of reinforced concrete structures. In presented research, the joint flexibility is considered applying a rotational spring at each end of the member. To derive the moment-rotation behavior of beam-column connections, the relative rotations produced by the relative slip of flexural reinforcement in the joint and the flexural cracking of the beam end are taken into consideration. Furthermore, the considered spread plasticity model, unlike the previous models that have been developed based on the linear moment distribution subjected to lateral loads includes both lateral and gravity load effects, simultaneously. To confirm the accuracy of the proposed methodology, a simply-supported test beam and three reinforced concrete frames are considered. Pushover and nonlinear dynamic analysis of three numerical examples are performed. In these examples the nonlinear behavior of connections and the material nonlinearity using the proposed methodology and also linear flexibility model with different number of elements for each member and fiber based distributed plasticity model with different number of integration points are simulated. Comparing the results of the proposed methodology with those of the aforementioned models describes that suggested model that only uses one element for each member can appropriately estimate the nonlinear behavior of reinforced concrete structures.

다공성 매질의 물리적 특성 변화에 따른 유체흐름의 비선형 거동에 대한 수치적 분석 (A numerical investigation on nonlinear behavior of fluid flow with variation of physical properties of a porous medium)

  • 정우창
    • 한국수자원학회논문집
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    • 제50권5호
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    • pp.325-334
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    • 2017
  • 본 연구에서는 다공성 매질의 공극율과 투수능 그리고 유체의 동점성 계수와 같은 물리적 특성에 따른 유체흐름의 비선형 거동에 대한 수치적 분석을 수행하였다. 적용된 수치모형은 ANSYS CFX 3차원 유동해석 모형이며, 모형의 검증은 기존의 물리적 실험 결과 및 수치모의 결과의 적용을 통해 수행되었으며, 적용된 압력경사와 유속과의 관계 그리고 마찰계수와 레이놀즈 수와의 관계에 대해 비교적 잘 일치하였다. 다공성 매질의 공극율과 투수능 그리고 유체의 동점성 계수의 값을 변화시키면서 모의한 결과 유체의 동점성 계수가 다공성 매질의 유체흐름의 비선형 거동에 가장 큰 영향을 미치는 것으로 나타났다.

Non-linear analyses model for composite box-girders with corrugated steel webs under torsion

  • Ko, Hee-Jung;Moon, Jiho;Shin, Yong-Woo;Lee, Hak-Eun
    • Steel and Composite Structures
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    • 제14권5호
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    • pp.409-429
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    • 2013
  • A composite box-girder with corrugated steel webs has been used in civil engineering practice as an alternative to the conventional pre-stressed concrete box-girder because of several advantages, such as high shear resistance without vertical stiffeners and an increase in the efficiency of pre-stressing due to the accordion effect. Many studies have been conducted on the shear buckling and flexural behavior of the composite box-girder with corrugated steel webs. However, the torsional behavior is not fully understood yet, and it needed to be investigated. Prior study of the torsion of the composite box-girder with corrugated steel webs has been developed by assuming that the concrete section is cracked prior to loading and doesn't have tensile resistance. This results in poor estimation of pre-cracking behaviors, such as initial stiffness. To overcome this disadvantage of the previous analytical model, an improved analytical model for torsion of the composite box-girder with corrugated steel webs was developed considering the concrete tension behavior in this study. Based on the proposed analytical model, a non-linear torsional analysis program for torsion of the composite box-girder with corrugated steel webs was developed and successfully verified by comparing with the results of the test. The proposed analytical model shows that the concrete tension behavior has significant effect on the initial torsional stiffness and cracking torsional moment. Finally, a simplified torsional moment-twist angle relationship of the composite box-girder with corrugated steel webs was proposed based on the proposed analytical model.

하중의 주파수에 의하여 지배받은 흙의 동적 거동이 부지증폭현상에 미치는 영향 (Effect of Loading Frequency Dependent Soil Behavior on Seismic Site Effect)

  • 박두희;하샤시 유세프;이현우;김재연
    • 한국지반공학회논문집
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    • 제22권3호
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    • pp.23-35
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    • 2006
  • 등가선형해석은 지반증폭현상을 모사하기 위하여 널리 사용되고 있으며, 해석 시 흙의 거동은 하중의 주파수의 영향을 받지 않는다고 가정되어왔다. 반면, 실내시험은 점성토의 경우 하중의 주파수의 영향을 크게 받는다는 것을 보여주고 있다. 본 연구에서는 하중의 주파수가 흙의 동적 거동에 미치는 영향을 고려하는 새로운 등가선형해석기법이 개발되었으며 주파수의 영향을 규명하기 위하여 지반응답해석을 수행하였다. 해석 결과, 하중의 주파수에 따라서 변화하는 전단탄성계수가 지반응답에 미치는 영향은 작은 반면 감쇠비는 큰 영향을 끼치는 것으로 판명되었다. 이는 하중의 주파수가 높아질수록 흙의 감쇠비도 같이 증가하며 이로 인하여 지진파의 고주파수 요소가 필터링 되기 때문이다. 따라서, 하중의 주파수에 지배 받는 흙의 거동은 특히 고주파수 요소가 풍부한 지진파 전파 모사 시 특히 중요하다고 판단된다.