• Title/Summary/Keyword: Transverse strain

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Analytical solution for bending analysis of functionally graded beam

  • Sallai, Benoumrane;Hadji, Lazreg;Daouadji, T. Hassaine;Adda Bedia, E.A.
    • Steel and Composite Structures
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    • v.19 no.4
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    • pp.829-841
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    • 2015
  • In this paper, a refined exponential shear deformation beam theory is developed for bending analysis of functionally graded beams. The theory account for parabolic variation of transverse shear strain through the depth of the beam and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. Contrary to the others refined theories elaborated, where the stretching effect is neglected, in the current investigation this so-called "stretching effect" is taken into consideration. The material properties of the functionally graded beam are assumed to vary according to power law distribution of the volume fraction of the constituents. Based on the present shear deformation beam theory, the equilibrium equations are derived from the principle of virtual displacements. Analytical solutions for static are obtained. Numerical examples are presented to verify the accuracy of the present theory.

Thermally induced mechanical analysis of temperature-dependent FG-CNTRC conical shells

  • Torabi, Jalal;Ansari, Reza
    • Structural Engineering and Mechanics
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    • v.68 no.3
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    • pp.313-323
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    • 2018
  • A numerical study is performed to investigate the impacts of thermal loading on the vibration and buckling of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) conical shells. Thermo-mechanical properties of constituents are considered to be temperature-dependent. Considering the shear deformation theory, the energy functional is derived, and applying the variational differential quadrature (VDQ) method, the mass and stiffness matrices are obtained. The shear correction factors are accurately calculated by matching the shear strain energy obtained from an exact three-dimensional distribution of the transverse shear stresses and shear strain energy related to the first-order shear deformation theory. Numerical results reveal that considering temperature-dependent material properties plays an important role in predicting the thermally induced vibration of FG-CNTRC conical shells, and neglecting this effect leads to considerable overestimation of the stiffness of the structure.

Buckling Analysis of Rectangular Plates using an Enhanced 9-node Element

  • LEE, Sang Jin
    • Architectural research
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    • v.18 no.3
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    • pp.113-120
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    • 2016
  • The stability and resistance of the plates under in-plane loading is crucial in the design of structures. For the assessment of structural stability, it is necessarily required to have accurate finite element technologies. Therefore, the enhanced 9-node plate (Q9-ANS) element is introduced for the linear buckling analysis of plate where the critical buckling load has to be determined. The Q9-ANS is developed with the Reissner-Mindlin (RM) assumptions which consider transverse shear deformation of the plate. Assumed shear strain is used to alleviate the shear locking phenomenon. Numerical examples are carried out to verify the performance of the Q9-ANS element in calculation of critical buckling load of the plates.

Buckling Analysis of Laminated Composite Plate and Shell Structures considering a Higher-Order Shear Deformation (고차전단변형을 고려한 복합적층판 및 쉘구조의 좌굴해석)

  • Lee, Won Hong;Yoon, Seok Ho;Han, Seong Cheon
    • Journal of Korean Society of Steel Construction
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    • v.9 no.1 s.30
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    • pp.3-11
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    • 1997
  • Laminated composite shells exhibit properties comsiderably different from those of the single-layer shell. Thus, to obtain the more accurate solutions to laminated composite shells ptoblems, effects of shear strain should be condidered in analysis of them. A higher-order shear deformation theory requires no shear correction coefficients. This theory is used to determine the buckling loads of elastic shells. The theory accounts for parabolic distribution of the transverse shear through the thickness of the shell and rotary inertia. Exact solutions of simply-supported shells are obtained and the results are compared with the exact solutions of the first-order shear deformation theory, and the classical theory. The present theory predicts the buckling loads more accurately when compared to the first -order and classical theory.

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The Development of Evaluating Tensile Property Method used the Single Notched Ring Test (단일노치 링시험편을 이용한 인장 특성 평가방법 개발)

  • Bae, Bong-Kook;Koo, Jae-Mean;Seok, Chang-Sung
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.322-327
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    • 2003
  • In this study, the single notched specimen which was proposed the previous study was used to evaluate of the transverse tensile property of zircaloy cladding. The single notched specimen has notches which give stress intensity effect, so both FEM and experiment are needed for the same time. Take a coincidence of tensile behavior about both FEM and experiment, then obtain stress and strain from FEM only. The influence of notch was estimated by comparing the result of experimental, FEM. Then the relationship between stress-strain and displacement was evaluated.

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Buckling of plates including effect of shear deformations: a hyperelastic formulation

  • Musa, Idris A.
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.1107-1124
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    • 2016
  • Consistent finite strain Plate constitutive relations are derived based on a hyperelastic formulation for an isotropic material. Plate equilibrium equations under finite strain are derived following a static kinematic approach. Three Euler angles and four shear angles, based on Timoshenko beam theory, represent the kinematics of the deformations in the plate cross section. The Green deformation tensor has been expressed in term of a deformation tensor associated with the deformation and stretches of an embedded plate element. Buckling formulation includes the in-plane axial deformation prior to buckling and transverse as well as in-plane shear deformations. Numerical results for a simply supported thick plate under uni-axial compression force are presented.

Buckling Analysis of Two Elastic Layers Bonded to a Semi-Infinite Substrate Using Incremental Deformation Theory (증분 변형 이론을 이용한 반무한체에 접합된 두 탄성층의 좌굴 해석)

  • Jeong, Kyoung-Moon;Beom, Hyeon-Gyu
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.369-374
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    • 2000
  • The buckling of two elastic layers bonded to a semi-infinite substrate under a transverse compressive plane strain is investigated. Incremental deformation theory is employed to describe the buckling behavior of both two isotropic layers and the semi-infinite substrate. The problem is converted to an eigenvalue-eigenvector case, from which the critical buckling strain and the wavelength of the buckled shape are obtained. The results are presented on the effects of the layer geometries and material properties on the buckling behavior.

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Numerical study for identifying damage in open-hole composites with embedded FBG sensors and its application to experiment results

  • Yashiro, S.;Murai, K.;Okabe, T.;Takeda, N.
    • Advanced Composite Materials
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    • v.16 no.2
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    • pp.115-134
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    • 2007
  • This study proposes two new approaches for identifying damage patterns in a holed CFRP cross-ply laminate using an embedded fiber Bragg grating (FBG) sensor. It was experimentally confirmed that the reflection spectrum from the embedded FBG sensor was significantly deformed as the damage near the hole (i.e. splits, transverse cracks and delamination) extended. The damage patterns were predicted using forward analysis (a damage analysis and an optical analysis) with strain estimation and the proposed damage-identification method as well as the forward analysis only. Forward analysis with strain estimation provided the most accurate damage-pattern estimation and the highest computational efficiency. Furthermore, the proposed damage identification significantly reduced computation time with the equivalent accuracy compared to the conventional identification procedure, by using damage analysis as the initial estimation.

A Study on the Strength and Ductility Effect of High-Strength Concrete Columns Confined by Tied Hoops (띠근에 의한 고강도 콘크리트 기둥부재의 강도 및 연성효과에 관한 연구)

  • 박훈규;송재호;한상묵;장일열
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.609-614
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    • 1998
  • Lateral pressure by tied reinforcement greatly enhances the maximum strength and ductility of columns under concentric loading. The lateral confinement effects will be improves ductility of high-strength concrete. The major purpose of this paper is to study on the improvements of maximum strength and strain at the point of tied high-strength concrete columns subject to axial loads. For this purpose, this study collected the other analytical results and the experimental data that has been performed by a lot of worldwide researchers and also analyzed it statistically. As the result, the theoretical equation for predict maximum strength and strain at the point was proposed. It is based on calculation of lateral confinement pressure generate from tensile that develop in transverse reinforcement.

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Finite Element of Composite Shells Based on General Curvilinear Coordinates (일반적인 곡선좌표계에 기초한 복합재료 적층쉘의 유한요소 해석)

  • 노희열;조맹효
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.173-176
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    • 2000
  • Finite element model based on the Naghdi's shell theory in the general tensor-based form is formulated in the present study. Partial mixed variational functional for assumed strain is formulated in order to avoid the severe locking troubles known as transverse shear and membrane locking. The proposed assumed strain element in general tensor Naghdi's shell model provides very accurate solutions for thin shells in benchmark problems. In additions, linear elastic constitutive equations are given in the general curvilinear coordinate system including anisotropic layered structures. Thus laminated composited shell structures are easily analyzed in the present formulation.

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