• Title/Summary/Keyword: substitute shear strain

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Static and Dynamic Analysis of Plate Structures using a High Performance Finite Element (고성능 유한요소를 이용한 평판구조물의 정적 및 동적해석)

  • Han In-Seon;Kim Sun-Hoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.3
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    • pp.311-320
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    • 2005
  • In this paper an enhanced quadratic finite element for static and dynamic analysis of plate structures is presented. The performance of a proposed plate element is improved by the coupled use of non conforming displacement modes, the selective integration scheme, and the assumed shear strain fields. An efficient direct modification method is also applied to this element to solve the problem such as failure of the patch test due to the adoption of non conforming modes. The proposed quadratic finite element does not show any spurious mechanism and does not produce shear locking phenomena even with distorted meshes. It is shown that the results obtained by this element converged to analytical solutions very rapidly tough numerical tests for standard benchmark problems. It is also noted that this element is applicable to transient dynamic analysis of Mindlin plates.

Engineering Characteristics of Crushed Rock for Foundation and Backfill Materials of a Conduit (관거의 기초 및 뒷채움재로 활용하기 위한 석분의 공학적 특성)

  • Moon, Hongduk;Kim, Daeman
    • Journal of the Korean GEO-environmental Society
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    • v.7 no.6
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    • pp.67-73
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    • 2006
  • In this study, basic physical tests and mechanical tests of crushed rock were performed in order to investigate the field application of crushed rock as substitute materials of sand that is commonly being used as foundation and backfill materials of sewer conduit. Particle-size distribution curve of crushed rock is similar to sand and also it is well-graded soil than common sand. Maximum dry unit weight in proctor compaction test for crushed rock is higher than the values of common sand. So we can estimate that the crushed rock has advantages in workability than sand for the backfill compaction after construction of sewer conduit. When we investigate the results of direct shear test and triaxial compression test on the crushed rock, it has a similar value of shear strength parameters to sand at the same stress state and as time goes by, it tends to increase the unconfined compression strength. But, because the strength reaches at the constant value after 6~7 days, we expect that it can absorb the lateral strain of flexible conduit well. All the above experimental results just proves that crushed rock can substitute for sand as backfill materials and foundation of sewer conduit.

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Analysis of Open Conical Shells with Stiffeners (보강재로 보강된 개방 원뿔형 쉘의 해석)

  • Park Weon-Tae;Choi Jae-Jin;Son Byung-Jik
    • Journal of the Korean Society of Safety
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    • v.19 no.4 s.68
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    • pp.101-108
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    • 2004
  • In this study, open conical shells with ring and stringers are analyzed A versatile 4-node shell element which is useful for the analysis of conical shell structures is used and 3-D beam element is used for stiffeners. An improved flat shell element is established by the combined use of the addition of non-conforming displacement modes and the substitute shear strain fields. The proposed element has six degrees of freedom per node and permits an easy connection to other types(beam element) of finite elements. Optimum location and optimum section properties of ring and stinger are obtained. It is shown thai the thickness of conical shell can be reduced about $20\~50\%$ by appropriate location of stiffeners.

A Study on Edge Reinforcement Effect of Cylindrical Shells with Composite Laminate (복합적층 원통형 쉘의 단부보강 효과 연구)

  • Son, Byung-Jik;Ji, Hyo-Seon;Chang, Suk-Yoon
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.3 no.2
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    • pp.47-54
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    • 2012
  • In this study, composite laminate cantilever type cylindrical shells with edge-stiffeners are analyzed. A versatile 4-node flat shell element which is useful for the analysis of shell structures is used. An improved flat shell element is established by the combined use of the addition of non-conforming displacement modes and the substitute shear strain fields. Two models by load conditions are considered. Load type A and B are loaded by point load at the free edge and line load respectively. A various parameter examples are presented to obtain proper stiffened length and stiffened thickness of edge-stiffeners. It is shown that the thickness of shell can be reduced minimum 30% by appropriate edge-stiffeners.

Mat Foundation Analysis Using Variable Node Plate Bending Element (변절점 굉판휨요소를 이용한 전면기초의 해석)

  • 최창근;김한수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.04a
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    • pp.7-12
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    • 1992
  • The variable node plate bending element, ie, the element with one or two additional mid-side nodes is used in the analysis of mat foundation to generate the nearly ideal grid model in which more nodes are defined near the column location. The plate bending element used in this study is the one based on Mindlin/Reissner plate theory with substitute shear strain field and the nodal stresses of that element are obtained by the local smoothing technique. The interaction of the soil material with the mat foundation is modeled with Winkler springs connected to the nodal points in the mat model. The vertical stiffness of the soil material are represented in terms of a modulus of subgrade reaction and are computed in the same way as to the computation of consistent nodal force of uniform surface loading. Several mesh schemes were proposed and tested to find the most suitable scheme for mat foundation analysis.

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A 4-Node Non-conforming Flat Shell Element with Drilling DOF (면내회전자유도를 가지는 4절점 비적합 평면쉘의 개발)

  • 최창근;이필승
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.27-34
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    • 1998
  • A versatile flat shell element has been developed by combining a membrane element with drilling degree-of-freedom and a plate bending element. This element is formulated by the enhanced displacement field with the additional non-conforming displacement modes. Thus the element possesses six degrees-of-freedom (DOF) per node which permits an easy connection to other six DOF elements as well as the improvement of the element behavior. In plate bending part, this element is established by the combined use of the addition of non-conforming modes, the reduced (or selective) integration scheme, and the construction of the substitute shear strain fields. The achieved improvement may be attributable to the fact that the merits of these individual techniques are merged into the new element in a complementary manner. In membrane part, this element shows better membrane behavior as the nonconforming displacement mode is added to drilling mode.

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Analysis of Cantilever Cylindrical Shells with Edge-Stiffeners (캔틸레버 원통형 쉘의 단부보강 해석)

  • Park, Weon-Tae;Son, Byung-Jik
    • Journal of the Korean Society of Safety
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    • v.20 no.4 s.72
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    • pp.78-86
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    • 2005
  • In this study, cantilever cylindrical shells with edge-stiffeners are analyzed. A versatile 4-node flat shell element which is useful for the analysis of shell structures is used. An improved flat shell element is established by the combined use of the addition of non-conforming displacement modes and the substitute shear strain fields. Three models by load conditions are considered. Model A, B and C are loaded by point load at the free edge, line load and external pressure respectively. A various parameter examples are presented to obtain proper stiffened length and stiffened thickness of edge-stiffeners. It is shown that the thickness of shell can be reduced more than 50% for Model A, about $20{\sim}30%$ for Model B by appropriate edge-stiffeners.

A Study on the Ring Effects of Composite Laminated Conical Shells (복합적층 원뿔형 쉘의 링 보강효과 연구)

  • Park, Weon-Tae;Choi, Jae-Jin;Son, Byung-Jik
    • Journal of the Korean Society of Safety
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    • v.19 no.1
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    • pp.94-101
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    • 2004
  • In this study, composite laminated conical shells with ring stiffeners are analyzed. A versatile 4-node shell element which is useful for the analysis of conical shell structures is used. An improved flat shell element is established by the combined use of the addition of non-conforming displacement modes and the substitute shear strain fields. The proposed element has six degrees of freedom per node and permits an easy connection to other types(beam element) of Optimum location and optimum section properties of ring stiffeners are obtained. It is shown that the thickness of conical shell is reduced about 20% by optimum ring stiffeners.

Buckling Characteristic of Non-Circular Closed Composite Shells (비원형 폐합쉘의 좌굴특성)

  • Park, Won-Tae;Chun, Kyoung-Sik
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.2
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    • pp.36-43
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    • 2010
  • In this study, the buckling loads and mode shapes characteristic of circular and non-circular(elliptical) closed composite shells were analyzed. To analyses the buckling behaviors, we develop and report an improved generalized shell element called 4EAS-FS through a combination of enhanced assumed strain and the substitute shear strain fields. A flat shell element has been developed by combining membrane element with drilling degree-of-freedom and a plate bending element. The combined influences of length, thicknesses, cross-sectional parameters, and fiber-angle on the critical buckling loads and mode shapes of circular and non-circular(elliptical) closed shells are examined.

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Buckling Load and Mode Analysis of Symmetric Multi-laminated Cylinders with Elliptical Cross-section (다층 대칭배열된 타원형 적층관의 좌굴하중 및 모드해석)

  • Chun, Kyoung Sik;Son, Byung Jik;Ji, Hyo Seon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3A
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    • pp.457-464
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    • 2006
  • Fiber-reinforced composite materials due to their high specific strength, high stiffness and light weight are becoming increasingly used in many engineering industry, especially in the aerospace, marin and civil, etc. In this paper, the buckling load and mode shapes of composite laminates with elliptical cross-section including transverse shear deformations are analyzed. For solving this problems, a versatile flat shell element has been developed by combining a membrane element with drilling degree-of-freedom and a plate bending element. Also, an improved shell element has been established by the combined use of the addition of enhanced assumed strain and the substitute shear strain fields. The combined influence of shell geometry and elliptical cross-sectional parameter, fiber angle, and lay-up on the buckling loads of elliptical cylinder is examined. The critical buckling loads and mode shapes analyzed here may serve as a benchmark for future investigations.