• Title/Summary/Keyword: thickness-shear

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Wave propagation in functionally graded beams using various higher-order shear deformation beams theories

  • Hadji, Lazreg;Zouatnia, Nafissa;Kassoul, Amar
    • Structural Engineering and Mechanics
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    • v.62 no.2
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    • pp.143-149
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    • 2017
  • In this work, various higher-order shear deformation beam theories for wave propagation in functionally graded beams are developed. The material properties of FG beam are assumed graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, the governing equations of the wave propagation in the FG beam are derived by using the Hamilton's principle. The analytic dispersion relations of the FG beam are obtained by solving an eigenvalue problem. The effects of the volume fraction distributions on wave propagation of functionally graded beam are discussed in detail. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.

Vibration analysis of FGM beam: Effect of the micromechanical models

  • Hadji, Lazreg
    • Coupled systems mechanics
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    • v.9 no.3
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    • pp.265-280
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    • 2020
  • In this paper, a new refined hyperbolic shear deformation beam theory for the free vibration analysis of functionally graded beam is presented. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the functionally graded beam without using shear correction factors. In addition, the effect of different micromechanical models on the free vibration response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present theory, the equations of motion are derived from the Hamilton's principle. Navier type solution method was used to obtain frequencies, and the numerical results are compared with those available in the literature. A detailed parametric study is presented to show the effect of different micromechanical models on the free vibration response of a simply supported FG beams.

Analyze of the interfacial stress in reinforced concrete beams strengthened with externally bonded CFRP plate

  • Hadji, Lazreg;Daouadji, T. Hassaine;Meziane, M. Ait Amar;Bedia, E.A. Adda
    • Steel and Composite Structures
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    • v.20 no.2
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    • pp.413-429
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    • 2016
  • A theoretical method to predict the interfacial stresses in the adhesive layer of reinforced concrete beams strengthened with externally bonded carbon fiber-reinforced polymer (CFRP) plate is presented. The analysis provides efficient calculations for both shear and normal interfacial stresses in reinforced concrete beams strengthened with composite plates, and accounts for various effects of Poisson's ratio and Young's modulus of adhesive. Such interfacial stresses play a fundamental role in the mechanics of plated beams, because they can produce a sudden and premature failure. The analysis is based on equilibrium and deformations compatibility approach developed by Tounsi. In the present theoretical analysis, the adherend shear deformations are taken into account by assuming a parabolic shear stress through the thickness of both the reinforced concrete beam and bonded plate. The paper is concluded with a summary and recommendations for the design of the strengthened beam.

Cross flow response of a cylindrical structure under local shear flow

  • Kim, Yoo-Chul;Rheem, Chang-Kyu
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.1 no.2
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    • pp.101-107
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    • 2009
  • The VIV (Vortex-Induced Vibration) analysis of a flexible cylindrical structure under locally strong shear flow is presented. The model is made of Teflon and has 9.5m length, 0.0127m diameter, and 0.001m wall thickness. 11 2-dimensional accelerometers are installed along the model. The experiment has been conducted at the ocean engineering basin in the University of Tokyo in which uniform current can be generated. The model is installed at about 30 degree of slope and submerged by almost overall length. Local shear flow is made by superposing uniform current and accelerated flow generated by an impeller. The results of frequency and modal analysis are presented.

Strength Evaluation of a Doubler Plate of a Ship S011c111re subjected to Biaxial In-plane Compression and Shear Load (양축방향 면내압축과 전단하중을 받는 선박 이중판의 강도 평가)

  • 함주혁
    • Journal of Ocean Engineering and Technology
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    • v.15 no.1
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    • pp.85-91
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    • 2001
  • A study for the structural strength analysis on the doubler plate subjected biaxial in-plane compression and shear load has been performed through the systematic evaluation process. In order to estimate the proper static strength of the doubler plate, non-linear elasto-plastic analysis is introduced. Gap element modeling for contact effect between the main plate and the doubler is prepared and nonlinear analysis procedures are illustrated based on MSC/N4W. In addition, some design guides are suggested through the consideration of several important effects such as corrosion of main plate, doubler width, doubler length and doubler thickness. Finally, theses result are compared with a developed design formula based on the buckling strength and general trends. The design guides, according to the variation of design parameters are discussed.

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Effect of The Clearance on Core Deformation of Sandwich Plate during U-bending (U-bending 공정에서 틈새간격이 샌드위치판재의 내부구조 전단변형에 미치는 영향)

  • Seong, D.Y.;Jung, C.G.;Shim, D.S.;Yang, D.Y.;Chung, W.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.05a
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    • pp.320-323
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    • 2008
  • In this study, a macroscopic approach was carried out to gain insight into the bending mechanism of metallic sandwich plates. Shear force-punch stroke curves for various clearances were analytically derived for mild steel (CSP 1N) sandwich plates with the total thickness of 3 mm and 0.5 mm face sheets. As the clearance increases, shear force of the inner structures and sensitivity of punch stroke decrease. These data are useful to derive a criterion of judgment for core shear failure and de-bonding failure during U-bending.

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Welding Characteristics of Aluminized Steel Sheet by Nd:YAG Laser(I) - Effects of AI Coating Weight on Weld Strength - (Nd:YAG 레이저를 이용한 알루미늄도금강판의 용접성(I) - 알루미늄 도금부착량이 용접부 강도에 미치는 영향 -)

  • Kim, Jong-Do;Lee, Jung-Han;Kim, Ki-Chol
    • Journal of Welding and Joining
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    • v.25 no.4
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    • pp.65-71
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    • 2007
  • Laser weldability of the aluminized steel for the full penetration welding will be described in this paper. We focused on the effect of Al coating conditions on weld strength. For these objectives, aluminized steel sheets that have various thickness and coating weight were prepared for laser welding. And then, tensile-shear and hardness test were carried out. At the same time, Al contents in weld after laser welding were analyzed and their correlations with mechanical properties were investigated. Besides, as removing partially coating layer, weldability has been investigated according to the position of coating layer. As a result of this study, tensile-shear strength was decreased with increasing Al contents in weld, and Al of coating layer caused grain growth.

A Study on Material Damping of the $0^0&90^0$ Laminated Composite Sandwich Cantilever Beam inserted with Viscoelastic layer (점탄성층을 삽입한 $0^0&90^0$ 섬유강화 복합재료의 감쇠계수에 대한 연구)

  • Yim, Jong-Hee;Seo, Yun-Jong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.345-348
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    • 2004
  • In this paper it is to establish a comprehensive model for predicting damping in sandwich Laminated composites on the basis of strain energy method. In this model, the effect of transverse shear on the material damping has been considered with in-plane stresses. Results showed that the viscoelastic core thickness in the sandwich beam and the Length of a beam have a high impact on the material damping. The transverse shear appears to be highly influenced by the damping behavior in $0^0$ laminated sandwiched composites. However, it is Little influenced by that in $90^0$ laminated sandwiched composites.

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Variational approximate for high order bending analysis of laminated composite plates

  • Madenci, Emrah;Ozutok, Atilla
    • Structural Engineering and Mechanics
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    • v.73 no.1
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    • pp.97-108
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    • 2020
  • This study presents a 4 node, 11 DOF/node plate element based on higher order shear deformation theory for lamina composite plates. The theory accounts for parabolic distribution of the transverse shear strain through the thickness of the plate. Differential field equations of composite plates are obtained from energy methods using virtual work principle. Differential field equations of composite plates are obtained from energy methods using virtual work principle. These equations were transformed into the operator form and then transformed into functions with geometric and dynamic boundary conditions with the help of the Gâteaux differential method, after determining that they provide the potential condition. Boundary conditions were determined by performing variational operations. By using the mixed finite element method, plate element named HOPLT44 was developed. After coding in FORTRAN computer program, finite element matrices were transformed into system matrices and various analyzes were performed. The current results are verified with those results obtained in the previous work and the new results are presented in tables and graphs.

Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method

  • Ahmed, Ridha A.;Mustafa, Nader M.;Faleh, Nadhim M.;Fenjan, Raad M.
    • Structural Engineering and Mechanics
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    • v.76 no.3
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    • pp.413-420
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    • 2020
  • Considering inverse cotangential shear strain function, the present paper studies nonlinear stability of nonlocal higher-order refined beams made of metal foams based on Chebyshev-Ritz method. Based on inverse cotangential beam model, it is feasible to incorporate shear deformations needless of shear correction factor. Metal foam is supposed to contain different distributions of pores across the beam thickness. Also, presented Chebyshev-Ritz method can provide a unified solution for considering various boundary conditions based on simply-supported and clamped edges. Nonlinear effects have been included based upon von-karman's assumption and nonlinear elastic foundation. The buckling curves are shown to be affected by pore distribution, geometric imperfection of the beam, nonlocal scale factor, foundation and geometrical factors.