• Title/Summary/Keyword: bending strain

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Crack Identification of Euler-Bernoulli Beam Using the Strain Energy Method (에너지 방법을 이용한 Euler-Bernoulli 보의 손상 규명)

  • Huh, Young-Cheol;Kim, Jae-Kwan;Kim, Byung-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.396-400
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    • 2006
  • We studied the influences of open cracks in free vibrating beam with rectangular section using a numerical model. The crack was assumed to be single and always open during the free vibration and equivalent bending stiffness of a cracked beam was calculated based on the strain energy balance. By Galerkin's method, the frequencies of cantilever beam could he obtained with respect to various crack depths and locations. Also, the experiments on the cracked beams were carried out to find natural frequencies. The cracks were initiated at five locations and the crack depths were increased by five steps at each location. The experimental results were compared with the numerical results and the comparison results were discussed.

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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.

Analytical Study of Reinforced Concrete Beams Strengthened with Fiber Reinforced Plastic Laminates (적층판으로 보강된 철근콘크리트보에 대한 해석적 연구)

  • Chae, Seoung-Hun;Kang, Joo-Won
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.206-211
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    • 2004
  • This paper deals with the flexural strengthening of reinforced concrete beams by means of thin fiber reinforced plastic(FRP) laminas. This study focuses on modeling of structural of concrete bonded FRP laminate in flexural bending members. Used computational equation is derived by relation of stress and strain. The section analysis is based on experimental observations of a linear strain distribution in the cross section until failure, and a multi-linear moment-deflection curve that is divided into four regions, each terminated by a similarly numbered point. The load-deflection relationship in each region is assumed to be linear. The present model is validated to compare wit the experiment of 4-point bending tests of R/C rectangular beams strengthened with CFRP laminates, and has well predicted the moment-displacement relationships of members.

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Finite Element Analysis of Powdering of Hot-dip Galvannenled Steel using Damage Model (합금화 용융아연 도금강판의 가공시 손상모델을 이용한 도금층 파우더링에 관한 유한요소 해석)

  • Kim, D.W.;Kim, S.I.;Jang, Y.C.;Lee, Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.10a
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    • pp.215-222
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    • 2007
  • Coating of Hot-dip galvannealed steel consists of various Fe-Zn intermetallic compounds. Since the coating is hard and there for is very brittle, the surface of steel sheet is easy to be ruptured during second manufacturing processing. This is called as powdering. In addition, forming equipment might be polluted with debris by powdering. Therefore, various research have been carried out to prohibit powdering fur improving the quality of GA steel. This paper carried out finite element analysis combined with damage model which simulate the failure of local layer of hot-dip galvannealed steel surface during v-bending test. Since the mechanical property of intermetallic compound was unknown exactly, we used the properties calculated from measurements. The specimen was divided into substrate, coating layer and interface layer. Local failure at coating layer or interface layer was simulated when elemental strain reached a prescribed strain.

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A compressible finite element model for hyperelastic members under different modes of deformation

  • Manna, M.C.;Sheikh, A.H.;Bhattacharyya, R.
    • Structural Engineering and Mechanics
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    • v.24 no.2
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    • pp.227-245
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    • 2006
  • The performance of a three dimensional non-linear finite element model for hyperelastic material considering the effect of compressibility is studied by analyzing rubber blocks under different modes of deformation. It includes simple tension, pure shear, simple shear, pure bending and a mixed mode combining compression, shear and bending. The compressibility of the hyperelastic material is represented in the strain energy function. The nonlinear formulation is based on updated Lagrangian (UL) technique. The displacement model is implemented with a twenty node brick element having u, ${\nu}$ and w as the degrees of freedom at each node. The results obtained by the present numerical model are compared with the analytical solutions available for the basic modes of deformation where the agreement between the results is found to be satisfactory. In this context some new results are generated for future references since the number of available results on the present problem is not sufficient enough.

Exact solution for transverse bending analysis of embedded laminated Mindlin plate

  • Heydari, Mohammad Mehdi;Kolahchi, Reza;Heydari, Morteza;Abbasi, Ali
    • Structural Engineering and Mechanics
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    • v.49 no.5
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    • pp.661-672
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    • 2014
  • Laminated Rectangular plates embedded in elastic foundations are used in many mechanical structures. This study presents an analytical approach for transverse bending analysis of an embedded symmetric laminated rectangular plate using Mindlin plate theory. The surrounding elastic medium is simulated using Pasternak foundation. Adopting the Mindlin plate theory, the governing equations are derived based on strain-displacement relation, energy method and Hamilton's principle. The exact analysis is performed for this case when all four ends are simply supported. The effects of the plate length, elastic medium and applied force on the plate transverse bending are shown. Results indicate that the maximum deflection of the laminated plate decreases when considering an elastic medium. In addition, the deflection of the laminated plate increases with increasing the plate width and length.

A Comparative study on the solder joint fatigue under thermal and mechanical loading conditions (열하중과 굽힘 하중 조건에서의 솔더조인트 피로 특성 비교연구)

  • Kim, Il-Ho;Lee, Soon-Bok
    • Journal of Applied Reliability
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    • v.7 no.2
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    • pp.45-55
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    • 2007
  • In this study, two types of fatigue tests were conducted. Firs, cyclic bending tests were performed using the micro-bending tester. Second, thermal fatigue tests were conducted using a pseudo power cycling machine which was newly developed for a realistic testing condition. A three-dimensional finite element analysis model was constructed. A finite element analysis using ABAQUS was performed to extract the applied stress and strain in the solder joints. Creep deformation was dominant in thermal fatigue and plastic deformation was main parameter for bending failure. From the inelastic energy dissipation per cycle versus fatigue life curve, it can be found that the bending fatigue life is longer than the thermal fatigue life.

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An Analysis on Brazier Effect of Cylindrical Tubes Under Pure Bending by Upper Bound Method (상계 해법을 이용한 순수 굽힘하의 원형 튜브의 단면 면화 해석)

  • Koo, Sang-Wan;Kim, Nak-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.524-530
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    • 2003
  • This paper presents a new model on deformation characteristics of cylindrical tubes under pure bending. The model is based on the upper bound method that minimizes total strain energy of a system. It does not assume inextensibility condition. Geometric relations and displacement fields are derived by analysis of deformation behaviors of elastic tubes. Simulations are calculated using numerical optimization and integration techniques. The results give information about cross-sectional deformation of cylindrical tubes. Simulation results are compared with available data in literatures, which show that this method predicts deformation characteristics of tube bending process.

High Temperature Creep Behavior of Cr3C2 Composites (크롬-카바이드 복합체의 고온 크리프 거동)

  • 김지환;한동빈;김기태
    • Journal of the Korean Ceramic Society
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    • v.32 no.11
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    • pp.1219-1226
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    • 1995
  • Creep behaviors of Cr3C2 composites containing 90 wt% Cr3C2 and 10 wt% Ni were studied at high temperature. Compression tests at 100$0^{\circ}C$ and bending tests at 100$0^{\circ}C$ and 105$0^{\circ}C$ were done in argon environment. In all test conditions primary and steady-state creep behaviors were observed. Stress exponent and activatiion energy were determined from the experimental data. By microstructural analysis of Cr3C2 composites after creep test, the separate agglomerations of Ni phase were observed. Numerical analysis was also studied to analyze bending creep behaviors of Cr3C2 by assumming different tensile and compressive creep behavior in a bending sample. From the analysis, it was found that the stress state at the compressive region as applied stress increased. The observed creep rates were compared with the predicted creep rates by estimating power-law creep parameters from bending test data.

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Estimation of Plastic Bending Moment of Offshore Pipelines (해저관로의 대 변형 굽힘에 의한 소성 모멘트 추정)

  • Lee, Jong-Hyun;Choi, Han-Suk
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.10a
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    • pp.20-25
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    • 2002
  • 본 논문은 대 변형 굽힘에 의한 소성 모멘트의 계산시 ovality를 고려한 파이프의 중립축에 대한 모멘트에 관해 논한다. 기존의 계산방법에 의한 중립축에 대한 모멘트 계산결과와 새로운 방법에 의한 계산결과를 비교해 보았다. 파이프가 길이방향의 모멘트에 의하여 굽어질 때, 증가하는 모멘트에 따른 ovality 변화를 고려하여 중립축에 대한 모멘트 계산에 적용해 보았다. 모멘트 계산은 타원형의 파이프 단면을 미세한 단면으로 나누어서 각 단면에 대한 응력을 비선형 strain-stress 식을 이용하여 구한 다음 중립축에 대해 계산을 수행하였다. 대 변형 굽힘에서 일어나는 실제현상 중 하나인 ovality를 파이프의 계산에 적용함으로써 좀 더 정확한 중립축에 대한 모멘트를 계산할 수 있었다. 이 방법을 reel에 의한 해저배관의 설치 공법에서 사용되는 reverse bending radius 계산에 적용해 보았다.

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