• 제목/요약/키워드: elastic rectangular plate

검색결과 122건 처리시간 0.02초

T-stress solutions for cracks in rectangular plates with multiple holes

  • Yu, Jackie;Wang, Xin;Tan, Choon-Lai
    • Structural Engineering and Mechanics
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    • 제26권5호
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    • pp.557-568
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    • 2007
  • The elastic T-stress is increasingly being recognized as an important second parameter to the stress intensity factor for fracture and fatigue assessments. In this paper, the mutual or M-contour integral approach is employed in conjunction with the Boundary Element Method (BEM) to determine the numerical T-stress solutions for cracks in plates with multiple holes. The problems investigated include plates of infinite width with multiple holes at which single or double, symmetric cracks have grown from. Comparisons of these results are also made with the corresponding solutions of finite plates with a single hole. For completeness, stress intensity factor solutions for the cracked geometries analyzed are presented as well. These results will be useful for failure assessments using the two-parameter linear elastic fracture mechanics approach.

경계요소법의 탄소성문제에 대한 초기응력법의 적용 (Application of Initial Stress Method on Elasto-plastic Problem in Boundary Element Method)

  • 이수룡
    • 대한조선학회논문집
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    • 제43권6호
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    • pp.683-692
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    • 2006
  • The BEM, known as solving boundary value problems, could have some advantages In solving domain problems which are mostly solved by FEM and FDM. Lately, in the elastic-plastic nonlinear problems, BEM could provide the subdomain approach for the region where the plastic deformation could occur and the unknown nodal displacement of this region are added as the unknown of the boundary integral equation for this approach. In this paper, initial stress method was used to establish the formulation of such BEM approach. And a simple rectangular plate having a circular hole was analyzed to verify the suggested method and the result is compared with that from FEM. It is shown that the result of two methods are showing similar stress-strain curves at the root of perforated plate and furthermore the plastic deformation obtained by BEM shows more reasonable behavior than that of FEM.

유한요소해석 프로그램에 의한 리니어 초음파 모터의 변위량 해석 (Analysis of Linear-type Ultrasonic Motor Using A Finite Element Method)

  • 이동준;임태빈;강성택;김영욱;임기조
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1998년도 춘계학술대회 논문집
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    • pp.33-36
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    • 1998
  • This paper is a study on a linear ultrasonic motor with a first longitudinal$(L_1)$ and fourth bending $(B_4)$ double-mode rectangular plate. The stator vibrator is composed of an elastic material plate and of a piezo-ceramic element having a motion by electrical excitation. Each strain vector differs by $90^{\circ}$ generate travelling wave with the elliptical displacement motion of a point on the surface. To magnify displacement of longitudinal direction in elliptical displacement motion, the motor has a mechanism of the.displacement enlargement. In this paper, the vibration shape of the stator is simulated using the finite element method. A detailed model considered of the piezoelectric effect and of the exact geometry of the stator is used to calculate the displacement. The position of displacement mechanism is decided by the maximum displacement.

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균열(龜裂)을 가진 사각평판(四角平板)의 수치해법(數値解法)에 의(依)한 J-적분치(積分値) (Numerical Analysis of J-integral Value in the Rectangular Plate with a Crack)

  • 김동섭;박종은
    • 대한조선학회지
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    • 제21권2호
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    • pp.35-42
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    • 1984
  • A line integral is exhibited which has the same value for all paths surrounding the tip of crack in a two dimensional strain field of elastic-plasticc material. Finite element method was used to determine Rice's J-integral value in centrally cracked plate. These numerical J-integral values were compared with corresponding values of reference with low hardening and high yield strength. The J-integral value was also computed for a crack extension and different load condition. For increasing crack length the value of J-integral also increases, this means that the crack is unstable. To prove path independent, three paths were used in the analysis and proved.

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Shear buckling analysis of laminated plates on tensionless elastic foundations

  • Dong, Jianghui;Ma, Xing;Zhuge, Yan;Mills, Julie E.
    • Steel and Composite Structures
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    • 제24권6호
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    • pp.697-709
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    • 2017
  • The current study addresses the local buckling analysis of an infinite thin rectangular symmetrically laminated composite plate restrained by a tensionless Winkler foundation and subjected to uniform in-plane shear loading. An analytic method (i.e., one-dimensional mathematical method) is used to achieve the analytical solution estimate of the contact buckling coefficient. In addition, to study the effect of ply angle and foundation stiffness on the critical buckling coefficients for the laminated composite plates, the parametric studies are implemented. Moreover, the convergence for finite element (FE) mesh is analysed, and then the examples in the parametric study are validated by the FE analysis. The results show that the FE analysis has a good agreement with the analytical solutions. Finally, an example with the analytical solution and FE analysis is presented to demonstrate the availability and feasibility of the presented analytical method.

물질경계면을 갖는 판에서의 응력파에 대한 수치해석 (Numerical Simulation of Stress Waves in Plates with Material Interfaces)

  • 김경수
    • 대한조선학회논문집
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    • 제32권4호
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    • pp.114-122
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    • 1995
  • 본 논문에서는 물질경계면을 갖는 선형탄성체에서의 응력파를 수치적으로 해석하는 기법이 소개되었으며 사각판에 대해 bicharacteristic법을 사용하여 개발된 수치해석법이 곡선경계면을 갖는 판으로 확장되었다. 제안된 개념의 효용성을 검증하기 위하여 수치해석 결과가 이론적으로 잘 알려진 응력파의 물리적 특성을 재현시켜 주는지 검토되었으며 곡선경계면을 갖는 판에 있어서 실험결과와 비교계산이 수행되었다. 또한 곡선 가장자리와 물질경계면에서 반사와 회절에 의한 응력촛점현상에 대해서도 조사되었다.

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에너지법에 의한 선체판의 기하학적 비선형거동에 관한 연구 (A Study on the Geometric Nonlinear Behaviour of Ship Plate by Energy Method)

  • 고재용
    • 대한조선학회논문집
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    • 제36권2호
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    • pp.94-104
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    • 1999
  • 고장력강을 주로 사용하는 선체에서 좌굴은 중요한 설계기준이 된다. 판부재는 주로 면내강성을 갖는다. 만약 2차좌굴로 인하여 선체판의 면내강성이 저하한다면 선박전체의 종강도는 크게 저하한다. 그러므로, 판부재의 좌굴후거동과 같은 기하학적 비선형거동을 정확히 규명하여야 하는 것은 구조물 전체적으로 매우 필요하다. 이상과 같은 관점에서 본 논문에서는 에너지법을 이용하여 압축하중을 받는 단순지지판의 기하학적 비선형거동을 규명하였다. 에너지 법을 바탕으로 선체판의 탄성대변형해석을 수행하였고 분기점형좌굴과 극한점형좌굴에 대하여 규명하였다.

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Structural Reliability of Thick FRP Plates subjected to Lateral Pressure Loads

  • Hankoo Jeong;R. Ajit Shenoi;Kim, Kisung
    • Journal of Ship and Ocean Technology
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    • 제4권2호
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    • pp.38-57
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    • 2000
  • This paper deals with reliability analysis of specially orthotropic plates subjected to transverse lateral pressure loads by using Monte Carlo simulation method. The plates are simply supported around their all edges and have a low short span to plate depth ratio with rectangular plate shapes. Various levels of reliability analyses of the plates are performed within the context of First-Ply-Failure(FPF) analysis such as ply-/laminate-level reliability analyse, failure tree analysis and sensitivity analysis of basic design variables to estimated plate reliabilities. In performing all these levels of reliability analyses, the followings are considered within the Monte Carlo simulation method: (1) input parameters to the strengths of the plates such as applied transverse lateral pressure loads, elastic moduli, geometric including plate thickness and ultimate strength values of the plates are treated as basic design variables following a normal probability distribution; (2) the mechanical responses of the plates are calculated by using simplified higher-order shear deformation theory which can predict the mechanical responses of thick laminated plates accurately; and (3) the limit state equations are derived from polynomial failure criteria for composite materials such as maximum stress, maximum strain, Tsai-Hill, Tsai-Wu and Hoffman.

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탄성적으로 지지된 철근콘크리트 선형판의 유한요소 해석 (Finite Element Analysis of the Reinforced Concrete Circular)

  • 조진구
    • 한국농공학회지
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    • 제35권1호
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    • pp.59-66
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    • 1993
  • Ring Sector Plate Supported by Elastic Beam Although all the reinforced concrete circular ring sector plates are elastically supported, it is conventional to simplify their supporting conditions as fixed or simply-supported ones assuming that their supporting beam has infinite stiffness. However, in order to obtain a precise solution, it should be required to consider the stiffness of their supporting beam. As a methodological improvement to the precise analysis, "Reinforced Concrete Model" previously developed by the author was applied to the structural analysis of the reinforced concrete circular ring sector plates with elastically supported beam. The results of analysis in the cases under various conditions of open angle, steel ratio, relative stiffness(EI/DL) between plate and supporting beam were summarized as follows ; 1.Although the effect of relative stiffness between plate and supporting beam varies depending on the magnitude of open angle, in general, it shows the largest when not more than 5.0 and negligible when not less than 10.0. Therefore, it would be considered as fixed supporting condition :in the case of its open angle of 0$^{\circ}$rectangular plates), its stiffness ratio being not less than 10.0 and in the other case of its open angle of 30$^{\circ}$, its stiffness ratio being not less than 5.0. 2.In the rectangular plates, the effect of steel ratio is considerable in no supporting condition, but neglible in the supporting condition. So, the effect of steel ratio should be negligible in the case of the elastically supported circular ring sector plates. 3.However, the effect of steel ratio is much more considerable in the case of the fixed supported circular plates, especially, when steel ratio being not more than 1.0% and stiffness ratio being smaller. So, the effect of steel ratio should be considered in the analysis of reinforced concreate circular ring sector plates with fixed conditions. 4.The effect of open angle is greater in the case of without-supporting beam conditions. However, in the other case of with-supporting beam conditions, the effect is a little bit when open angle of not more than 300 and negligible when open angle of not more than 30$^{\circ}$.

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면내압축하중(面內壓縮荷重)을 받는 판(板)의 2차좌굴거동(次座屈擧動)에 관한 연구(硏究) (Secondary Buckling Behaviour of Plate under Inpane Compressive Loading)

  • 고재용;;백점기
    • 대한조선학회논문집
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    • 제33권3호
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    • pp.66-80
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    • 1996
  • 최근 고장력강(高張力鋼)이 구조물에 폭넓게 사용되고 있어서 판두께가 얇아지고 있다. 판두께가 얇아지므로해서 좌굴(座屈)이 발생하기 쉽다. 그러므로 좌굴(座屈)발생후 판의 거동(擧動)을 정확하게 파악하는 것은 중요하다. 좌굴(座屈) 발생후 2차좌굴(次座屈)이라고 하는 하중하(荷重下)에서는 판(板)의 처짐모드가 갑자기 변한다. 전체구조물의 붕괴강도(崩壞强度)를 고려할 때 2차좌굴(次座屈)은 매우 중요하다. 이런 관점에서 본 연구에서는 면내압축하중(面內壓縮荷重)을 받는 판(板)의 2차좌굴거동(次座屈擧動)에 관하여 연구하였다. 초기처짐을 갖는 판(板)을 대상으로 하여 탄성대변형해석(彈性大變形解析)을 실시하여, 2차좌굴(次座屈)의 영향을 검토하였다. 그 결과로서 다음과 같은 결론(結論)을 얻었다. 즉, 정사각형판은 대칭의 처짐성분은 영향이 있으나 비대칭의 처짐성분은 영향이 전혀 없다. 또한, 종횡비(縱橫比)를 갖는 판(板)은 모든 처짐성분의 영향이 있으며 초기좌굴(初期座屈)후 면내강성(面內剛性)이 계속적으로 감소한다.

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