• Title/Summary/Keyword: specially orthotropic

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Effect of flexure-extension coupling on the elastic instability of a composite laminate plate

  • H. Mataich;A. El Amrani;J. El Mekkaoui;B. El Amrani
    • Structural Engineering and Mechanics
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    • v.90 no.4
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    • pp.391-401
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    • 2024
  • The present study focuses on the effect of extension-bending coupling on the elastic stability (buckling) of laminated composite plates. These plates will be loaded under uni-axial or bi-axial in-plane mechanical loads, especially in the orthotropic or anti-symmetric cross-angle cases. The main objective is to find a limit where we can approximate the elastic stability behavior of angularly crossed anti-symmetric plates by the simple behavior of specially orthotropic plates. The contribution of my present study is to predict the explicit effect of extension-flexion coupling on the elastic stability of this type of panel. Critically, a parametric study is carried out, involving the search for the critical buckling load as a function of deformation mode, aspect ratio, plate anisotropy ratio and finally the study of the effect of lamination angle and number of layers on the contribution of extension-flexure coupling in terms of plate buckling stability. We use first-order shear deformation theory (FSDT) with a correction factor of 5/6. Simply supported conditions along the four boundaries are adopted where we can develop closed-form analytical solutions obtained by a Navier development.

The Effect of Diaphragm inside Trough Rib on Fatigue Behavior of Trough Rib and Cross Beam Connections in Orthotropic Steel Decks (강바닥판 종리브와 횡리브 교차부의 피로거동에 대한 종리브내 다이아프램의 영향)

  • Choi, Dong Ho;Choi, Hang Yong;Choi, Jun Hyeok
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.239-250
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    • 2000
  • This study investigates the mechanical behavior on trough rib to crossbeam joint in orthotropic steel plate decks, specially emphasizing on the effect of diaphragm inside trough rib on the fatigue behavior of slit by static and fatigue tests. In particular, the effects of diaphragm on in-plane stress and out-of-plane stress, stress concentration, propagation of fatigue cracks at the silt are studied. With the result of experiment and numerical analysis, we have estimated the fatigue strength using the nominal stress and hot-sport stress. The details with diaphragm have occurred about 50% stress reduction at trough rib part of trough rib to crossbeam joint than the detail without diaphragm, however, the lower parts of crossbeam have occurred much more stress. Initial crack size or slit have an considerable influence on the propagation of fatigue cracks due to V-notch. The fatigue strength category of the details without diaphragm has higher value than fatigue limit, whereas that of the details with diaphragm is estimated lower than fatigue limit.

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Lateral Buckling Analysis of Open Section Composite Laminated Beam Under End-Moment (단모멘트를 받는 개단면 박벽 복합재 보의 횡좌굴 해석)

  • 김만호;신동구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.51-58
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    • 2000
  • Lateral buckling behavior of laminated composite thin-walled I-section beams subjected to bending moment is investigated by applying the nonlinear anisotropic thin-walled beam theory. The constituent laminated thin-walled elements of I-section are assumed to be symmetrically laminated. The bending, twisting, and warping stiffnesses of the cross section are obtained based on the definitions of these stiffnesses In the thin-walled anisotropic beam theory In numerical examples, singly-symmetric I-beams with specially orthotropic, quasi-isotropic, angle-plys and various boundary conditions are considered. To validate the proposed theoretical approach, present analytical solutions are compared with three dimensional finite element solutions.

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A Study on the Stiffnesses of the Advanced Composite Laminated Plates (복합신소재 적층판의 강성에 대한 연구)

  • Han, Bong Koo;Kim, Yun Young
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.6 no.3
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    • pp.1-7
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    • 2015
  • Compared with conventional construction materials such as steel and concrete, the advanced composite materials are corrosion-free, light-weight, and when used as construction materials, the construction period can be made less than one-tenth needed for conventional materials. However, because of the difficult theories and formulas, the ordinary construction engineers have difficulties in understanding and calculating formulas needed in construction. In this paper, calculation of the stiffnesses of the advanced composite laminated plates and compared with the result of stiffnesses.

Buckling of Bimodulus Composite Thin Plate (이중탄성계수 복합재료판의 좌굴)

  • 이영신;김종천
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1520-1534
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    • 1994
  • A new analytical method for the prediction of the buckling behavior of laminated plates consisting of layers having different properties in tension and compression, so called bimodulus, is proposed in this paper. Buckling analysis of bimodular composite laminated paltes are performed with the results reduced from plate bending analysis. The governing equations of bimodular plates are based on the first shear deformation theory. As a case study, bending and buckling of simply supported, multilayered, symmetric, antisymmtric, and specially orthotropic laminates under uniformly distributed lateral load for bending analysis and in-plane load for buckling are considered. The results of the bending analysis are compared with the previous papers. Then, the fundamental critical buckling loads and buckling modes are calculated for the various bimodular composite rectangular thin plates.

A Study of the Advanced Composite Material Slab for Light Weight of Tall Building (초고층빌딩 경량화를 위한 복합신소재 슬래브에 관한 연구)

  • Han, Bong-Koo
    • Composites Research
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    • v.27 no.1
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    • pp.7-13
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    • 2014
  • For each construction material used, there is certain theoretical limit in sizes. For tall building construction, the reduction in slab weight is the first step to take in order to break such size limits. In this paper, the feasibility of such objective is proven and given by numerical analysis result. For a typical building slab, both concrete and advanced composite sandwich panels are considered. The concrete slab is treated as a special orthotropic plate to obtain more accurate result. For each panel, the deflection under the dead and live loads is compared, since both tensile and compressive strengths of the composites are far more higher than those of concrete. All types of sandwich panels considered, except one case, have self-weights less than one tenth of that of the reinforced concrete slab, with deflections less than that of the reinforced concrete slab.

Failure Strength Analysis of Simply Supported Sandwich Slab Bridges made by Composite Materials (복합재료로 만들어진 단순지지 샌드위치 슬래브 교량의 파괴강도해석)

  • Han, Bong-Koo;Kim, Se-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.1
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    • pp.77-84
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    • 2007
  • In this paper presented, a design method of sandwich slab bridge of simple supported made by composite materials. Many of the bridge systems, including the girders and cross-beams, and concrete decks behave as the special orthotropic plates. Such systems with sections, boundary conditions other than Navier or Levy solution types, or with irregular cross sections, analytical solution is very difficult to obtain. Thus, Finite Difference Method is used for analysis of the pertinent problem. For the design of bridge made by the composite materials, cross-section is used the form-core shape because of this shape is economical and profitable, and for output of the stress value used F.D.M. Based the experimental of a composite specialist, an equation expressing the rate of decrease of tensile strength of glass fibers based on increase of mass was obtained. From these equations, one can estimate the rate of tensile strength reduction due to increased size. Tasi-Wu failure criterion for stress space is used. Strength-failure analysis procedure, using these reduced tensile strength, is presented.

Simple Method of Vibration Analysis of Three Span Continuous Composite Slab Bridges with Elastic Intermediate Supports (탄성지지된 3경간 연속 복합슬래브교량의 간단한 진동해석)

  • Han, Bong Koo;Kim, Duk Hyun
    • Journal of Korean Society of Steel Construction
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    • v.17 no.3 s.76
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    • pp.317-324
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    • 2005
  • The specially orthotropic plate theory is used to analyse three-span continuous composite slab bridges with elastic intermediate supports. A method of calculating the natural frequency corresponding to the first mode of vibration of beams and tower structures, with irregular cross sections and with arbitrary boundary conditions, was developed and the result of application of this method to the three-span continuous composite slab bridges with elastic intermediate supports is presented. This type of bridge represents either concrete or sandwich type three-span bridge on polymeric supports for passive control or on actuators for active control. Any method may be used to obtain the deflection influence surfaces needed for this vibration analysis. The finite difference method is used for this purpose in this paper. The influence of flexural stiffnesses and the modulus of the foundation are studied.

The Effect of Neglecting the Longitudinal Moment Terms in Analyzing Composite Laminate Plates (복합적층판 해석시 종방향 모멘트 무시효과)

  • Han, Bong-Koo;Baek, Jong-Nam
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.2 no.3
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    • pp.25-29
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    • 2011
  • Some laminate orientations have decreasing values of $D_{16}$, $B_{16}$, $D_{26}$ and $B_{26}$ stiffnesses as the ply number increases. For such plates, the fiber orientations given above behave as specially orthotropic plates and simple formulas developed by the senior author. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms(Mx) on the relevant partial differential equations of equilibrium. In this paper, the result of the study on the subject problem is presented.

Analysis of the thermal instability of laminated composite plates

  • H. Mataich;A. El Amrani;B. El Amrani
    • Coupled systems mechanics
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    • v.13 no.2
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    • pp.95-113
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    • 2024
  • In this paper, we will analyse the thermo-elastic behavior of the plate element of a structure arranged in a climatically aggressive environment (extreme temperature), we use a refined four-variable thick plate theory to take the shear effect into consideration, the proposed theory less computationally expensive and more accurate so that it incorporates the shear effect into the formulation. The plate is assumed to be simply supported on its four edges, so exact (closed-form) solutions are found according to the Navier expansion, and the governing stability equations and associated boundary conditions of the problem are obtained via the virtual works principle. The plate studied ismade of laminated composite materials, so a parametric study is needed to see the effect of different types of parameters and coupling on the critical temperature value causing thermo-elastic instability of the plate and also on the natural frequency of free vibration, as well as for other parameters such as anisotropy, slenderness and aspect ratio of the plate and finally the lamination angle. Numerical results are obtained for specially orthotropic and antisymmetrical plates and are compared with those obtained by othertheoriesin the literature to validate the analysis approach used.