• Title/Summary/Keyword: orthotropic

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A Simple Method of Analysis for the Preliminary Design of Structures for Civil Construction made of Particular Composite Laminated Plate (복합적층판으로 구성된 토목건설용 구조물의 예비설계를 위한 간편해석법)

  • 김덕현;원치문
    • Composites Research
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    • v.13 no.2
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    • pp.30-39
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    • 2000
  • It is difficult for civil engineer to apply composite materials of laminated type to structure for civil construction because of complicated theory although those have much merit. A simple method by which one can predict "exact" values of the natural frequency of vibration of laminated plates is presented. Many laminates with particular orientations have negligible values of $B_{16}$ and $B_{26}$ as the number of plies increases. Such laminates, with $D_{16}$ = $D_{26}$ ->0 can be solved by the same equation as for the special orthotropic laminates(1991,1995). If the quasi-isotrpic constants are used, It is possible to simplify analysis procedure since the equations for isotropic plates can be used. Use of some coefficients can produce "exact" values for laminates with such configuration. This coefficient, in fact, represents the effect of the anisotropy of the laminate. D. H. Kim proposed to use a correction factor, he developed, to produce "exact" solution out of the approximate solution obtained by using the quasi-isotropic constants(1995). In this paper, the fiber orienation studied is [$\alpha$/$\beta$/$\beta$/$\gamma$/$\alpha$/$\alpha$/$\beta$]r, with $\alpha$=-$\beta$, and $\gamma$${\gamma}$=$0^{\circ}$ or $90^{\circ}$ and the above-mentioned method is used to obtain the natural frequencies of plates with such orientations, and detailed result is presented for the use of engineers.nted for the use of engineers.

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Evaluation of Mechanical Properties and Low-Velocity Impact Characteristics of Balsa-Wood and Urethane-Foam Applied to Impact Limiter of Nuclear Spent Fuel Shipping Cask (사용후핵연료 수송용기 충격완충체에 적용되는 발사목과 우레탄 폼의 기계적 특성 및 저속충격특성 평가 연구)

  • Goo, Jun-Sung;Shin, Kwang-Bok;Choi, Woo-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.11
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    • pp.1345-1352
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    • 2012
  • This paper aims to evaluate the low-velocity impact responses and mechanical properties of balsa-wood and urethane-foam core materials and their sandwich panels, which are applied as the impact limiter of a nuclear spent fuel shipping cask. For the urethane-foam core, which is isotropic, tensile, compressive, and shear mechanical tests were conducted. For the balsa-wood core, which is orthotropic and shows different material properties in different orthogonal directions, nine mechanical properties were determined. The impact test specimens for the core material and their sandwich panel were subjected to low-velocity impact loads using an instrumented testing machine at impact energy levels of 1, 3, and 5 J. The experimental results showed that both the urethane-foam and the balsa-wood core except in the growth direction (z-direction) had a similar impact response for the energy absorbing capacity, contact force, and indentation. Furthermore, it was found that the urethane-foam core was suitable as an impact limiter material owing to its resistance to fire and low cost, and the balsa-wood core could also be strongly considered as an impact limiter material for a lightweight nuclear spent fuel shipping cask.

Model for fiber Cross-Sectional Analysis of FRP Concrete Members Based on the Constitutive Law in Multi-Axial Stress States (다축응력상태의 구성관계에 기초한 FRP 콘크리트 부재의 층분할 단면해석모델)

  • 조창근;김영상;배수호;김환석
    • Journal of the Korea Concrete Institute
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    • v.14 no.6
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    • pp.892-899
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    • 2002
  • Among the methods for enhancement of load-carrying capacity on flexural concrete member, recently, a concept is being investigated which replaces the steel in a conventional reinforced concrete member with a fiber reinforced polymer(FRP) shell. This study focuses on modeling of the structural behavior of concrete surrounded with FRP shells in flexural bending members. A numerical model of fiber cross-sectional analysis is proposed to predict the stress and deformation state of the FRP shell and concrete. The stress-strain relationship of concrete confined by a FRP shell is formulated to be based on the constitutive law of concrete in multi-axial compressive stress state, in assuming that the compression response is dependent on the radial expansion of the concrete. To describe the FRP shell behavior, equivalent orthotropic properties of in-plane behavior from classical lamination theory are used. The present model is validated to compare with the experiments of 4-point bending tests of FRP shell concrete beam, and has well predicted the moment-curvature relationships of the members, axial and hoop strains in the section, and the enhancement of confinement effect in concrete surrounded by FRP shell.

The Study on the Characteristics of Mode I Crack for Cross-ply Carbon/Epoxy Composite Laminates Based on Stress Fields (응력장을 이용한 직교적층 탄소섬유/에폭시 복합재 적층판의 모드 I 균열 특성 연구)

  • Kang, Min-Song;Jeon, Min-Hyeok;Kim, In-Gul;Woo, Kyeong-Sik
    • Composites Research
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    • v.32 no.6
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    • pp.327-334
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    • 2019
  • The delamination is a special mode of failure occurring in composite laminates. Several numerical studies with finite element analysis have been carried out on the delamination behavior of unidirectional composite laminates. On the other hand, the fracture for the multi-directional composite laminates may occur not only along the resin-fiber interface between plies known as interply or interlaminar fracture but also within a ply known as interyarn or intralaminar fracture accompanied by matrix cracking and fiber bridging. In addition, interlaminar and intralaminar cracks appear at irregular proportions and intralaminar cracks proceeded at arbitrary angle. The probabilistic analysis method for the prediction of crack growth behavior within a layer is more advantageous than the deterministic analysis method. In this paper, we analyze the crack path when the mode I load is applied to the cross-ply carbon/epoxy composite laminates and collect and analyze the probability data to be used as the basis of the probabilistic analysis in the future. Two criteria for the theoretical analysis of the crack growth direction were proposed by analyzing the stress field at the crack tip of orthotropic materials. Using the proposed method, the crack growth directions of the cross-ply carbon/epoxy laminates were analyzed qualitatively and quantitatively and compared with experimental results.

Numerical Analysis Study for Optimal Design Method on Intersection between Longitudinal and Transversal Rib in Orthotropic Steel Deck Bridge (강바닥판교의 종리브-횡리브 교차연결 상세변화에 따른 최적설계방안의 수치해석 연구)

  • 배두병;공병승
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.3
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    • pp.333-340
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    • 2004
  • The use of the othotropic steel deck is steadily increased due to the advance of the technology in the steel bridges which recently have been longer. But the othotropic steel deck bridge is the structure that is very fragile to the fatigue, especially, the fatigue crack at the cross of the longitudinal rib and transversal rib is one of the biggest problems that othotropic steel deck bridges have. The causes of these fatigue cracks come from the secondary stress on out-plane behavior of transversal rib. In this study, we conducted the experiment to find the optimal details to improve fatigue strength on intersection between longitudinal rib and transversal rib in the othotropic steel deck bridge through numerical analysis using the experiment of the fatigue in the 3-dimensional real structure and program LUSAS. As a result of study, it is showed that the details of the korean standard section attached with a curved bulkhead plate is the most profitable. And, it is indicated that the stress which is generated when the reform improved section by parametic study can be reduced by about 50% at most or more. Along with the reduced stress and the longer interval between transversal ribs(G=400), the decreased steel amount by 4% and the shortened welding length by 34% make it possible to produce the othotropic steel deck bridge which is strong against fatigue.

Analytical Study on the Characteristic of Fatigue Behavior in Connection Parts of Orthotropic Steel Decks with Retrofitted Structural Details in Longitudinal Rib (세로리브 내부 보강상세에 따른 강바닥판 연결부의 피로거동 특성에 관한 해석적 연구)

  • Sun, Chang Won;Park, Kyung Jin;Kyung, Kab Soo;Kim, Kyo Hoon
    • Journal of Korean Society of Steel Construction
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    • v.20 no.1
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    • pp.105-119
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    • 2008
  • In steel deck bridges suffering directly on wheel load according to the number of serviced years, the occurrence of fatigue cracks increases in structural details, which includes the cross section parts of the longitudinal rib and transversal rib, and so on. Through the control method for these fatigue cracks the increased thickness of the steel deck plate or the application of retrofit detail to the inside of the longitudinal rib was observed to be effective. This study suggests structural details for the retrofitted and non-retrofitted longitudinal rib. The target details in this study are the connection parts of the lo ngitudinal and transversal rib, and the slit parts of transverse rib where fatigue cracks were frequently reported in previous studies. In the analyses, detailed structural analyses were performed as parameters, which include the shape, change of size and attached position. From the results the stress reduction in the target details was observed to be larger in the retroffited details. Also, the improvement of fatigue strength is more effective in the retrofitted details with the vertical rib than the bulkhead plate.

Estimation of Mechanical Representative Elementary Volume and Deformability for Cretaceous Granitic Rock Mass: A Case Study of the Gyeongsang Basin, Korea (경상분지 백악기 화강암 암반에 대한 역학적 REV 및 변형특성 추정사례)

  • Um, Jeong-Gi;Ryu, Seongjin
    • The Journal of Engineering Geology
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    • v.32 no.1
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    • pp.59-72
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    • 2022
  • This study employed a 3-D numerical analysis based on the distinct element method to estimate the strength and deformability of a Cretaceous biotite granitic rock mass at Gijang, Busan, Korea. A workflow was proposed to evaluate the scale effect and the representative elementary volume (REV) of mechanical properties for fractured rock masses. Directional strength and deformability parameters such as block strength, deformation modulus, shear modulus, and bulk modulus were estimated for a discrete fracture network (DFN) in a cubic block the size of the REV. The size of the mechanical REV for fractured rock masses in the study area was determined to be a 15 m cube. The mean block strength and mean deformation modulus of the DFN cube block were found to be 52.8% and 57.7% of the intact rock's strength and Young's modulus, respectively. A constitutive model was derived for the study area that describes the linear-elastic and orthotropic mechanical behavior of the rock mass. The model is expected to help evaluate the stability of tunnels and underground spaces through equivalent continuum analysis.

Minimum Design Thickness of Prestressed Concrete Deck Slabs for Composite Two-Girder Bridges (강합성 2거더교 프리스트레스트 바닥판의 설계 최소두께)

  • Hwang, Hoon Hee;Joh, Changbin;Kwark, Jong Won;Lee, Yong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.183-190
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    • 2006
  • Minimizing the self weight of long-span deck slabs is one of the key factors for the practical and economic design of a composite two-girder bridge. In this paper, the minimum design thickness and rebar details of prestressed concrete deck slabs for composite two-girder bridges with girder span length from 4 m to 12 m are studied based on the safety and serviceability. The bridge deck slab with minimum thickness is designed as a one-way slab considering orthotropic behavior. Then fatigue safety of the deck slab is examined. Serviceability requirements for the deck slab such as deflection and crack width limits are also examined. The result shows that rebars with diameter less than 16 mm is recommended for the improved fatigue behavior, and, for the deck slab with span length longer than 8 m, the deflection limit governs the minimum design thickness. The result also shows that, for the deck slab with span length longer than 4 m, the distribution rebar requirement in the current Korea Highway Bridge Design Code is not sufficient to maintain the structural continuity in bridge axis as expected from the deck slab with span length shorter than 3 m.

A Study on the Static Behaviors of Steel Deck Plates of Skew Bridges (사교(斜橋)의 강상판(鋼床板)의 정적거동(靜的擧動)에 대한 연구(研究))

  • Yang, Chang Hyun;Oh, Gi Taek
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.4
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    • pp.815-826
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    • 1994
  • Skew bridges are found frequently in new bridge construction due to geographical conditions when new constructing bridges are put across the existing highways, railroads or rivers. This study is to investigate the static behaviors of the steel deck plates of skew bridges which are increasingly used in bridges due to outstanding quality of structural steels, development of welding techniques, in order to reduce dead loads and period of constructions. The static behaviours of steel deck plates are analyzed using general purpose FE code SAP90 by modeling the skewed deck plates with rigorous finite elements, as the skew angles vary. The results of finite element analysis for the behaviors of steel deck plates and concrete slabs in acute, obtuse corners and center of decks are compared and discussed as the skew angles vary from $90^{\circ}$ to $30^{\circ}$. Two types of decks are treated, as isotropic plates and orthotropic plates, respectively. From the results of finite element analysis, it is found that more moments, reactions, and deflections occur at the obtuse corners than at the center of skewed decks regardless of isotropy or orthotropy. Especially, in case of the skewed deck plates with skew angles less than 45 degrees, significantly large discrepancies for the values of those internal forces are shown between the skewed and right deck plates. This study estimates the characteristics of deck behaviors according to skew angles, and proposes limitations of skew angles and the ciritical regions of decks.

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