• Title/Summary/Keyword: 변형률장

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Development of an efficient 3-node plate bending element by using the Hellinger-Reissner functional (Hellinger-Reissner 범함수를 이용한 효율적인 3절점 판 유한요소의 개발)

  • Lee, Youn-Gyu;Choi, Chang-Koon;Lee, Phill-Seung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.760-763
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    • 2011
  • 본 논문의 목적은 효율적인 3절점 판 유한요소를 개발하는 것이다. Hellinger-Reissner 범함수에 근거한 혼합정식화(mixed formulation)를 사용한다. 잠김현상을 일으키는 전단변형률장을 독립적으로 분리한 후, MITC(Mixed Interpolation of Tensorial Components)방법을 이용하여 대체전단변형률장(assumed transverse shear strain field)을 구성한다. 추가적으로 회전된 반변기저벡터(contravariant base vector)로 정의된 근사전단변형률장(approximated transverse shear strain field)에 미지수(unknowns)를 도입하여 혼합정식화를 완성시키고 정적응축(static condensation)을 통해 최종 강성행렬을 구성한다. 거짓영에너지모드시험(spurious zero energy mode test), 조각시험(patch test), 등방성시험(isotropic test) 등을 실시하였으며, 4변 완전구속 정사각형 판 구조물과 60도 기울어진 단순지지 판 구조물 등 예제들을 해석하여 MITC3판 유한요소와 수렴성능을 비교하였다.

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Evaluation of Crack Resistance Properties on Particulate Reinforced Composite Propellant using Digital Image Correlation (DIC에 의한 입자강화 복합재 추진제의 균열저항 특성평가)

  • Na, Seonghyeon;Choi, Hoonseok;Oh, Kwangkeun;Kim, Jaehoon
    • Journal of the Korean Society of Propulsion Engineers
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    • v.19 no.6
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    • pp.26-32
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    • 2015
  • In this study, it is evaluated for fracture toughness to analyze crack resistance properties of particulate reinforced composite propellant. Fracture toughness test using WST specimen is conducted by temperature conditions from $50^{\circ}C$ to $-60^{\circ}C$. Evaluation method for fracture toughness calculated using an equation suggested by ASTM E399 with linear elastic fracture mechanics. From these result, splitting loads and stress intensity factors of propellant increase according to decrease of test temperature. Also, the strain fields of specimen surface using digital image correlation increase as temperature decreased from $50^{\circ}C$ to $-40^{\circ}C$, but it sharply decreases at $-60^{\circ}C$ because of brittle behavior.

Geometrically Nonlinear Analysis of Stiffened Shell Structures Using the Assumed Strain Shell Element (가정변형도 쉘요소를 이용한 보강된 쉘구조의 기하학적 비선형해석)

  • 최명수;김문영;장승필
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.209-220
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    • 2000
  • For non-linear analysis of stiffened shell structures, the total Lagrangian formulation is presented based upon the degenerated shell element. Geometrically correct formulation is developed by updating the direction of normal vectors and taking into account second order rotational terms in the incremental displacement field. Assumed strain concept is adopted in order to overcome shear locking phenomena and to eliminate spurious zero energy mode. The post-buckling behaviors of stiffened shell structures are traced by modeling the stiffener as a shell element and considering general transformation between the main structure and the stiffener at the connection node. Numerical examples to demonstrate the accuracy and the effectiveness of the proposed shell element are presented and compared with references' results.

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Strength Analysis of Joint Between Steel Plate and CFRP Laminated Splice Plates Patched by Adhesive (접착제를 사용한 CFRP와 강재 이음부의 강도 해석)

  • Park, Dae-Yong;Lee, Sang-Youl;Chang, Suk-Yoon
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.2 no.2
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    • pp.13-19
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    • 2011
  • This paper presents the stress distribution of the damaged butt joint of steel plate using CFRP laminates when the flange in tension zone of steel box girder is welded by butt welding. When CFRP sheets are patched on tension flange of steel-box girder, the stress distribution of a vertical and normal direction on damaged welding part is shown as parameters such as a variation of the thickness of adhesive, the overlap length with steel, and the modulus of elasticity of CFRP sheets. For the study, we wrote the computer program using the EAS(Enhanced assumed strain) finite element method for plane strain that has a very fast convergency and exact stress for distorted shape.

Study of Materials and Stress Ratios on Fatigue Crack Propagation Rate Using Parameter ΔA (.DELTA.A를 파라미터로 이용한 피로크랙전파속도에 미치는 재료 및 응력비의 영향에 대한 연구)

  • 박영철;오세욱;김광영;허정원;강정호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.7
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    • pp.1373-1380
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    • 1992
  • The local cyclic strain distribution near the crack tip has been investigated by the fine Dot Grid Strain Measurement Method, which had been suggested strain measurement method to resolve experimental difficulties by authors. It has been found that the magnitude of the local cyclic strain distribution(.DELTA..epsilon.$_{eq}$ )near a crack tip has been varied by the applied cyclic load level and material, but the shape of the local cyclic strain distribution near the crack tip has been experimentally scrarcely altered : that is .DELTA..epsilon.$_{eq}$ = .DELTA.A.f(.theta.). $r^{-1}$ . Consequently, the local cyclic strain field near the crack tip could be favorably characterized by a single parameter fatigue strain intensity factor .DELTA.A. In addition, with the viewpoint that .DELTA.A depends on material and load level, .DELTA.A has been applied to evaluate the fatigue crack propagation rate and usefulness of the result has been considered. As a result, it has been ascertained that .DELTA.A has been a useful parameter to evaluate the fatigue crack propagation rate.

Fracture Energy and Displacement Field Characteristics of Particulate Reinforced Composites Using DIC Method (DIC법에 의한 입자강화 복합재료의 파괴에너지 및 변위장 특성)

  • Lee, Jeongwon;Na, Seonghyeon;Lee, Sangyoun;Park, Jaebeom;Jung, Gyoodong;Kim, Jaehoon
    • Journal of the Korean Society of Propulsion Engineers
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    • v.21 no.6
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    • pp.15-20
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    • 2017
  • In this study, the fracture energy and displacement fields characteristics of particulate reinforced composite is evaluated. Wedge splitting test was performed at various temperatures. Fracture energy of material is calculated at room temperature, $-40^{\circ}C$ and $-60^{\circ}C$. Displacement and strain fields of specimen surface were visualized by using digital image correlation. The surface displacement fields of the specimens were analyzed by mark tracking method using digital image correlation. The results showed that, the fracture energy was decreased as temperature decreased. The surface displacement fields at room temperature were similar to there at $-40^{\circ}C$. The surface displacement fields at $-60^{\circ}C$ was significantly reduced because of the brittle behavior. The strain fields of the specimen surface decreased as temperature decreased form room temperature to $-60^{\circ}C$.

A Four-node General Shell Element with Drilling DOFs (면내회전자유도를 갖는 4절점 곡면 쉘요소)

  • Chung, Keun-Young;Kim, Jae-Min;Lee, Eun-Haeng
    • Journal of the Earthquake Engineering Society of Korea
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    • v.16 no.4
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    • pp.37-52
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    • 2012
  • In this study, a new 4-node general shell element with 6 DOFs per node is presented. Drilling rotational degrees of freedom are introduced by the variational principle with an independent rotation field. In formulation of the element, substitute transverse shear strain fields are used to avoid shear locking, while four nonconforming modes are applied in the in-plane displacement fields as a remedy for membrane locking. In addition, a direct modification method for nonconforming modes is employed in the numerical implementation of nonconforming modes to represent constant strain states. A 9-points integration rule is adopted for volume integration in the computation of the element stiffness matrix. With the combined use of these techniques, the developed shell element has no spurious zero energy modes, and can represent a constant strain state. Several numerical tests are carried out to evaluate the performance of the new element developed. The test results show that the behavior of the elements is satisfactory.

스트레인 게이지를 이용한 항공기용 구조 재료의 응력확대계수 측정

  • 김재훈;이현철;김덕회;문순일
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1999.10a
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    • pp.21-21
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    • 1999
  • 파괴인성의 정량적 평가는 균열이 내재할 수 있는 구조물의 설계 및 사용중 건전성 확보를 위하여 필요하다. 파괴인성의 측정은 광탄성법, 코스틱법 및 모아레법 등에 의하여 주로 평가되고 있으나 고가의 장비가 필요하고 실험으로 구현하는데 어려움이 있기 때문에, 실험이 비교적 간단하고 신뢰성이 있는 스트레인 게이지법에 관한 연구가 최근에 이루어지고 있다. 본 연구는 항공기나 로켓의 추진기용 구조재로 사용되는 마레이징강과 티타늄 합금을 이용하여 파괴인성시험을 수행하였다. 균열선단의 변형률장은 Westergaard 응력 함수를 사용한 다중변수해로 표현하였고, 스트레인게이지에서 얻은 변형률을 대입하여 파괴인성치를 산출하였다. 스트레인게이지법에 의한 파괴인성치는 ASTM E399의 규정에 의한 실험결과들과 비교하여 그 유용성을 제시하였다.

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Two Node Meridional Strain-based Axisymmetric Shell Elements (자오 변형률에 근거한 2절검 축대칭 셸요소)

  • Ryu, Ha-Sang;Sin, Hyo-Chol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.6
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    • pp.925-932
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    • 1997
  • Two shear-flexible curved axisymmetric shell elements with two nodes, LCCS(linear curvature and constant strain) and CCCS(constant curvature and constant strain) are designed based on the assumed meridional strain fields and shallow shell geometry. At the element level, meridional curvature, membrane strain and shear strain fields are assumed by using polynomials and the displacement fields are obtained by integrating the assumed strain fields along the shallowly curved meridian. The formulated elements have high order displacement fields consistent with the strain field. Several test problems are given to demonstrate the performance of the two elements. Analysis results obtained reveal that the elements are very accurate in the displacement and the stress predictions.

Estimation of the Moving Load Velocity Using Micro Genetic Algorithm (마이크로 유전 알고리즘을 이용한 교통하중의 속도추정)

  • Tak, Moon-Ho;Noh, Myung-Hyun;Park, Tae-Hyo;Park, In-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.292-295
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    • 2009
  • 본 논문에서는 평판구조물의 정적 및 동적해석에 사용할 목적으로 성능이 향상된 평판유한요소를 제시하였다. 이 요소는 비적합변위형과 선택적 감차적분방법 그리고 대체전단변형률장을 복합적으로 적용하여 각각의 장점들을 포함하는 향상된 거동을 보여주고 있다. 또한 비적합변위형의 적용으로 발생되는 조각시험의 실패 문제점을 해결하기 위하여 직접수정법을 평판유한요소의 개선에 사용하였다. 대표적인 검증문제에 대한 수치해석작업을 통하여 본 연구에서 개발한 요소는 가상적인 제로에너지모드 및 전단잠김현상의 발생과 같은 문제를 나타내지 않음을 알 수 있었다. 특히 찌그러진 형상으로 모형화 한 경우에 있어서도 전단잠김현상이 발생하지 않았다. 본 연구에서 수행한 동적반응해석 시험에 있어서도 이론해와 잘 일치하는 결과를 보여주었다.

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