• 제목/요약/키워드: transverse stresses

검색결과 281건 처리시간 0.024초

An analytical solution for bending and vibration responses of functionally graded beams with porosities

  • Zouatnia, Nafissa;Hadji, Lazreg;Kassoul, Amar
    • Wind and Structures
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    • 제25권4호
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    • pp.329-342
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    • 2017
  • This work presents a static and free vibration analysis of functionally graded metal-ceramic (FG) beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. A new displacement field containing integrals is proposed which involves only three variables. Based on the suggested theory, the equations of motion are derived from Hamilton's principle. This theory involves only three unknown functions and accounts for parabolic distribution of transverse shear stress. In addition, the transverse shear stresses are vanished at the top and bottom surfaces of the beam. The Navier solution technique is adopted to derive analytical solutions for simply supported beams. The accuracy and effectiveness of proposed model are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the deflections, stresses and natural frequencies on the bending and free vibration responses of functionally graded beams.

A new higher-order triangular plate bending element for the analysis of laminated composite and sandwich plates

  • Rezaiee-Pajand, M.;Shahabian, F.;Tavakoli, F.H.
    • Structural Engineering and Mechanics
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    • 제43권2호
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    • pp.253-271
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    • 2012
  • To analyze the bending and transverse shear effects of laminated composite plates, a thirteen nodes triangular element will be presented. The suggested formulations consider a parabolic variation of the transverse shear strains through the thickness. As a result, there is no need to use shear correction coefficients in computing the shear stresses. The proposed element can model both thin and thick plates without any problems, such as shear locking and spurious modes. Moreover, the effectiveness of $w_{,n}$, as an independent degree of freedom, is concluded by the present study. To perform the accuracy tests, several examples will be solved. Numerical results for the orthotropic materials with different boundary conditions, shapes, number of layers, thickness ratios and fiber orientations will be presented. The suggested element calculates the deflections and stresses more accurate than those available in the literature.

Space-Time Characteristics of the Wall Shear-Stress Fluctuations in an Axial Turbulent Boundary Layer with Transverse Curvature

  • Shin, Dong-Shin;Lee, Seung-Bae;Na, Yang
    • Journal of Mechanical Science and Technology
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    • 제19권8호
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    • pp.1682-1691
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    • 2005
  • Direct numerical simulation database of an axial turbulent boundary layer is used to compute frequency and wave number spectra of the wall shear-stress fluctuations in a low-Reynolds number axial turbulent boundary layer. One-dimensional and two-dimensional power spectra of flow variables are calculated and compared. At low wave numbers and frequencies, the power of streamwise shear stress is larger than that of spanwise shear stress, while the powers of both stresses are almost the same at high wave numbers and frequencies. The frequency/streamwise wave number spectra of the wall flow variables show that large-scale fluctuations to the rms value is largest for the stream wise shear stress, while that of small-scale fluctuations to the rms value is largest for pressure. In the two-point auto-correlations, negative correlation occurs in streamwise separations for pressure, and in span wise correlation for both shear stresses.

Residual Stress Measurement on Welded Stainless Steel Specimen by Neutron Diffraction

  • Park, M.J.;Jang, D.Y.;Choi, H.D.
    • International Journal of Korean Welding Society
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    • 제1권1호
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    • pp.39-43
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    • 2001
  • In this paper, the neutron diffraction is applied to the residual stress measurement on the 20mm-thick welded stainless steel plate ($100^{\circ}$$\times$100$mm^2$). The High Resolution Powder Diffractormeter of the Korea Atomic Research Institute The power of nuclear reactor was 24 MWt and the measured reflection in the 220 plane (2$\theta$ is $95^{\circ}$and wavelength is 1.8340 ${\AA}$ . The Poisson ratio of 0.265 and elastic constant of 211 GPa are applied to the calculation of stresses and strains. Three directional components such as normal, transverse, and longitudinal stresses are measured and the results show that the most of longitudinal stress is tensile and decreases, changing to compressive depending on the distance away from the welded spot. However, transverse component is changing from tensile to compressive along the depth of the welded point.

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두꺼운 벽을 갖는 복합재료 튜브의 잔류응력 저감 연구 (Reduction of Residual Stresses in Thick-Walled Composite Tubes)

  • 신의섭;정성남
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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    • pp.176-179
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    • 2003
  • This paper deals with the optimum design of thick-walled multi-layered composite tubes by minimizing the process-induced residual stresses under some constraints of structural stiffnesses. An analytic model based on quasi-static thermoelasticity is adopted for the calculation of the residual stresses in the multi-layered composite tubes. The numerical results of optimization show that, in the case of cross-ply CFRP tubes, the residual stresses can be reduced to a certain level by controlling ply thicknesses. However, the optimized tubes may be susceptible to cracking because the transverse residual stress is still large in a strength-based sense. To further suppress the residual stresses, the effects of stacking sequence, wall thickness and axial pretension on the optimum solutions are examined.

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횡보강근이 있는 40, 60 MPa 콘크리트에서 철근 압축이음의 거동과 강도 (Behavior and Capacity of Compression Lap Splice in Confined Concrete with Compressive Strength of 40 and 60 MPa)

  • 천성철;이성호;오보환
    • 콘크리트학회논문집
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    • 제21권4호
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    • pp.389-400
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    • 2009
  • 현행 기준식에 따르면 초고강도 콘크리트에서는 철근 인장이음길이보다 압축이음길이가 더 길어지는 현상 이 발생된다. 횡보강근의 영향을 반영하면 이러한 경향은 더욱 심화된다. 실제 구조물에서 반드시 존재하는 횡보강근과 철근 지름의 영향을 40, 60 MPa 콘크리트에 대한 압축이음 실험을 통해 강도와 거동 특성을 분석하였다. 지름 22, 29 mm 에 대한 실험 결과 철근 지름의 영향은 없는 것으로 나타났다. 가는 지름의 철근에서는 이음강도의 증진이 기대될 수 있으나, 압축철근에는 주로 큰 지름의 철근이 사용되므로 압축이음에서는 철근 지름의 효과를 고려할 필요가 없을 것 으로 판단된다. 횡보강근이 있는 압축이음강도는 현행 설계기준과 비교할 때 100% 이상 크므로 횡보강근을 고려한 새 로운 설계기준식의 정립이 필요하다. 지압은 이음 단부에 배근된 횡보강근에 의해서만 강도가 향상되며, 이음구간에 배 근된 횡보강근에는 무관하다. 횡보강근량이 많을수록 부착에 의해 발현되는 강도는 거의 선형적으로 증가하며, 이음단 부에만 횡보강근을 배근해도 부착강도가 6% 향상되었다. 횡보강근이 배근된 경우 부착에 의해 발현되는 강도는 인장이 음에 비해 동등하거나 더 낮아지므로, 인장이음에 비해 압축이음의 강도 증진은 단부 지압 효과로만 설명될 수 있다.

Fatigue Strength Depending on Position of Cracks for Weldments

  • Lee Hae-Woo;Park Won-Jo
    • Journal of Mechanical Science and Technology
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    • 제20권5호
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    • pp.675-680
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    • 2006
  • This is a study of fatigue strength of weld deposits with transverse cracks in plate up to 50 mm thick. It is concerned with the fatigue properties of welds already with transverse cracks. A previous study of transverse crack occurrence, location and microstructure in accordance with welding conditions was published in the Welding Journal (Lee et al., 1998). A fatigue crack develops as a result of stress concentration and extends with each load cycle until fatigue occurs, or until the cyclic loads are transferred to redundant members. The fatigue performance of a member is more dependent on the localized state of stress than the static strength of the base metal or the weld metal. Fatigue specimens were machined to have transverse cracks located on the surface and inside the specimen. Evaluation of fatigue strength depending on location of transverse cracks was then performed. When transverse cracks were propagated in a quarter-or half-circle shape, the specimen broke at low cycle in the presence of a surface crack. However, when the crack was inside the specimen, it propagated in a circular or elliptical shape and the specimen showed high fatigue strength, enough to reach the fatigue limit within tolerance of design stresses.

분산응력법을 이용한 곡선수로에서의 천수흐름 해석 (Analysis of Shallow Water Flow in Curved Channel Using Dispersion Stresses Method)

  • 송창근;서일원;김태원;안정규
    • 대한토목학회논문집
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    • 제33권5호
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    • pp.1785-1795
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    • 2013
  • 기존 대부분의 천수흐름 해석모형에서는 연직방향으로 균일한 유속을 가정하였기 때문에 하천 만곡부에서 이차류의 영향을 고려하지 못하고 부정확한 흐름해석 결과를 도출하였다. 본 연구에서는 종횡방향 유속의 연직분포를 평균값과 이로부터의 변동량으로 분할하여 이 값들을 운동량 방정식에 대입하여 생성되는 추가적인 항인 분산응력을 포함하는 수치모형을 개발하였다. 제안된 모형을 $30^{\circ}$, $90^{\circ}$, $270^{\circ}$의 곡률을 가지는 수로에 적용하여 분산응력을 이용한 곡선수로에서의 천수흐름을 수치모의 하였다. 모의 결과, 운동량방정식에 포함된 분산응력항은 생성/소멸과 같은 역할을 하여, 만곡의 내측에서 외측으로 횡방향 운동량을 이동시키게 되므로 분산응력을 포함하지 않는 경우 보다 정확한 수치모의 결과를 제시하는 것으로 밝혀졌다.

Thermal stresses and deflections of functionally graded sandwich plates using a new refined hyperbolic shear deformation theory

  • Bouchafa, Ali;Bouiadjra, Mohamed Bachir;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제18권6호
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    • pp.1493-1515
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    • 2015
  • A new refined hyperbolic shear deformation theory (RHSDT), which involves only four unknown functions as against five in case of other shear deformation theories, is presented for the thermoelastic bending analysis of functionally graded sandwich plates. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The sandwich plate faces are assumed to have isotropic, two-constituent material distribution through the thickness, and the modulus of elasticity, Poisson's ratio of the faces, and thermal expansion coefficients are assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic ceramic material. Several kinds of sandwich plates are used taking into account the symmetry of the plate and the thickness of each layer. The influences played by the transverse shear deformation, thermal load, plate aspect ratio and volume fraction distribution are studied. Numerical results for deflections and stresses of functionally graded metal-ceramic plates are investigated. It can be concluded that the proposed theory is accurate and simple in solving the thermoelastic bending behavior of functionally graded plates.