• 제목/요약/키워드: Shear Stress Distribution

검색결과 573건 처리시간 0.023초

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.

Static analysis of functionally graded sandwich plates with porosities

  • Keddouri, Ahemd;Hadji, Lazreg;Tounsi, Abdelouahed
    • Advances in materials Research
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    • 제8권3호
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    • pp.155-177
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    • 2019
  • In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded sandwich plate with new definition of porosity distribution taking into account composition and the scheme of the sandwich plate. 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, has strong similarity with classical plate theory in many aspects, 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. Material properties of FGM layers are assumed to vary continuously across the plate thickness according to either power-law or sigmoid function in terms of the volume fractions of the constituents. The face layers are considered to be FG across each face thickness while the core is made of a ceramic homogeneous layer. Governing equations are derived from the principle of virtual displacements. The closed-form solution of a simply supported rectangular plate subjected to sinusoidal loading has been obtained by using the Navier method. Numerical results are presented to show the effect of the material distribution, the sandwich plate geometry and the porosity on the deflections and stresses of FG sandwich plates. The validity of the present theory is investigated by comparing some of the present results with other published results.

혈류의 유동이 혈관-인조혈관 접속부 혈관 내막 세포증식에 미치는 영향 (Hemodynamic Effects on Artery-Graft Anastomotic Intimal Hyperplasia)

  • 이계한
    • 대한의용생체공학회:의공학회지
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    • 제15권2호
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    • pp.143-150
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    • 1994
  • Wall shear rate or stress is believed to be a major hemodynamic variable influencing atherosclerosis and artery-graft anastomic intimal hyperplasia. The purpose of this study is to verify the effects of radial wall motion, artery-graft compliance and diameter mismatch, and impedance phase angle on the wall shear rate distribution near an end-to-end artery-graft anastomosis model. The results show that radial wall motion of the elastic artery model lowers the mean wall shear rates under pulsatile flow condition by 15 to 20 % comparing to those under steady flow condition at the same mean flow rate. Impedance phase angle seems to have small effects on the mean and amplitude of the wall shear rate distribution. In order to study the effects of compliance and diameter mismatch on the wall shear rates, two models are studied-Model I has 6% and Model I has 6% and Model II has 11% smaller graft diameter. Divergent geometry caused by diameter mismatch near the distal sites reduces the mean wall shear rates significantly, and this low shear region is believed to be prone to intimal hyperplasia.

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Study and analysis of porosity distribution effects on the buckling behavior of functionally graded plates subjected to diverse thermal loading

  • Abdelhak Zohra;Benferhat Rabia;Hassaine Daouadji Tahar
    • Coupled systems mechanics
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    • 제13권2호
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    • pp.115-132
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    • 2024
  • This paper introduces an improved shear deformation theory for analyzing the buckling behavior of functionally graded plates subjected to varying temperatures. The transverse shear strain functions employed satisfy the stress-free condition on the plate surfaces without requiring shear correction factors. The material properties and thermal expansion coefficient of the porous functionally graded plate are assumed temperature-dependent and exhibit continuous variation throughout the thickness, following a modified power-law distribution based on the volume fractions of the constituents. Moreover, the study considers the influence of porosity distribution on the buckling of the functionally graded plates. Thermal loads are assumed to have uniform, linear, and nonlinear distributions through the thickness. The obtained results, considering the effect of porosity distribution, are compared with alternative solutions available in the existing literature. Additionally, this study provides comprehensive discussions on the influence of various parameters, emphasizing the importance of accounting for the porosity distribution in the buckling analysis of functionally graded plates.

FBG 센서가 내장된 스마트 앵커를 이용한 앵커와 그라우트의 하중전이 측정 (Measurement of Load Transfer between Anchor and Grout using Optical FBG Sensors embedded in Smart Anchor)

  • 서동남;김영상;김재민
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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    • pp.505-510
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    • 2008
  • FBG Sensor, which is smaller than strain gauge and has better durability and does not have a noise from electromagnetic waves, was adapted to develope a smart anchor. A series of pullout tests were performed to verify the feasibility of smart anchor and find out the load transfer mechanism around the steel wire fixed to rock with grout. Distribution of shear stresses at steel wire-grout interface is assessed from the measured strain distribution by the optical fiber sensors and compared with stress distributions predicted by Farmer's and Aydan's formulas. It was found that present theoretical formulas may underestimate the failure depth and magnitude of shear stresses when the pullout loads increase.

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Theoretical determination of stress around a tensioned grouted anchor in rock

  • Showkati, Alan;Maarefvand, Parviz;Hassani, Hossein
    • Geomechanics and Engineering
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    • 제8권3호
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    • pp.441-460
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    • 2015
  • A new theoretical approach for analysis of stress around a tensioned anchor in rock is presented in this paper. The solution has been derived for semi-infinite elastic rock and anchor and for plane strain conditions. The method considers both the anchor head bearing plate and its grouted bond length embedded in depth. The solution of the tensioned rock anchor problem is obtained by superimposing the solutions of two simpler but fundamental problems: A distributed load applied at a finite portion (bearing plate area) of the rock surface and a distributed shear stress applied at the anchor-rock interface along the bond length. The solution of the first problem already exists and the solution of the shear stress distributed along the bond length is found in this study. To acquire a deep understanding of the stress distribution around a tensioned anchor in rock, an illustrative example is solved and stress contours are drawn for stress components. In order to verify the results obtained by the proposed solution, comparisons are made with finite difference method (FDM) results. Very good agreements are observed for the teoretical results in comparison with FDM.

프레스톤튜브를 이용한 복단면 하도의 하상전단응력 측정 및 분석 (Measurement and Analysis of Bed Shear Stresses in Compound Open Channels using the Preston Tube)

  • 이두한;김명환;김원;서일원
    • Ecology and Resilient Infrastructure
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    • 제4권4호
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    • pp.207-215
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    • 2017
  • 하도의 흐름 저항, 측벽 보정, 유사량, 하도 침식과 퇴적, 하도 설계 등의 수리학적 문제는 하상전단응력의 분포와 밀접한 관계가 있으나 하상전단응력 분포를 측정하는 것은 쉽지 않다. 본 연구에서는 간편하게 하상전단응력을 측정할 수 있는 프레스톤튜브를 이용하여 복단면의 하도의 하상전단응력 분포를 측정하고 수심비에 따른 전단응력분포 특성을 고찰하였다. 이를 위해 프레스톤튜브를 제작하여 검정실험을 통해 검정식을 개발하였다. 실험은 5가지 수심비 조건에 대해서 수행하여 전단응력분포를 측정하였다. 복단면 하도의 전단응력분포 특성은 기존 실험연구와 대체로 일치하였으며, 레이놀즈수 증가로 발생하는 전단응력의 변동성, 주수로 전단응력의 변곡점 형성, 홍수터 접합부 부근 전단응력 분포 특성 등에서 차이점을 확인하였다. 본 연구를 통해 프레스톤튜브를 이용한 하상전단응력측정 적용성을 확인하였으며 레이놀즈수와 수심비에 따른 복단면 하도의 전단응력분포 특성을 제시하였다.

Study of the Distribution Properties and LRFD Code Conversion in Japanese Larch

  • Park, Chun-Young;Pang, Sung-Jun;Park, Ju-Sang;Kim, Kwang-Mo;Park, Mun-Jae;Lee, Jun-Jae
    • Journal of the Korean Wood Science and Technology
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    • 제38권2호
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    • pp.94-100
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    • 2010
  • This study was performed to develop an LRFD (Load Resistance Factored Design) Code for Domestic Larch. To accomplish his, we evaluated bending, compression, tension and shear strength. The results of the strength evaluation were utilized to verify the distribution and code conversion. For bending, tension and compressive strength, the Weibull distribution was well-fitted, but for shear strength we observed a normal distribution. For evaluating the bending and compressive strength, a full-sized specimen was used. A small clear specimen was used to test tension and shear strength. Compressive strength in particular was found to be affected by tight knots, although there was little difference between grades. In the code conversion, the design value of the LRFD was larger than the existing allowable stress value in the Korean Building Code. However, the allowable stress in this study was about two times higher than the value listed in the Korean Building Code. This result induced the difference between the soft and hard conversions. For greater reliability, the accumulation of additional data is necessary and further studies should be performed

An analytical analysis of the pullout behaviour of reinforcements of MSE structures

  • Ren, Feifan;Wang, Guan;Ye, Bin
    • Geomechanics and Engineering
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    • 제14권3호
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    • pp.233-240
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    • 2018
  • Pullout tests are usually employed to determine the ultimate bearing capacity of reinforced soil, and the load-displacement curve can be obtained easily. This paper presents an analytical solution for predicting the full-range mechanical behavior of a buried planar reinforcement subjected to pullout based on a bi-linear bond-slip model. The full-range behavior consists of three consecutive stages: elastic stage, elastic-plastic stage and debonding stage. For each stage, closed-form solutions for the load-displacement relationship, the interfacial slip distribution, the interfacial shear stress distribution and the axial stress distribution along the planar reinforcement were derived. The ultimate load and the effective bond length were also obtained. Then the analytical model was calibrated and validated against three pullout experimental tests. The predicted load-displacement curves as well as the internal displacement distribution are in closed agreement with test results. Moreover, a parametric study on the effect of anchorage length, reinforcement axial stiffness, interfacial shear stiffness and interfacial shear strength is also presented, providing insights into the pullout behaviour of planar reinforcements of MSE structures.

맥동유동하에 있는 탄성혈관에서 벽면운동과 임피던스 페이즈앵글이 벽면전단응력에 미치는 영향 (Influence of Wall Motion and Impedance Phase Angle on the Wall Shear Stress in an Elastic Blood Vessel Under Oscillatory Flow Conditions)

  • 최주환;이종선;김찬중
    • 대한의용생체공학회:의공학회지
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    • 제21권4호
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    • pp.363-372
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    • 2000
  • 벽면운동과 임피던스 페이즈앵글(압력파와 유량파 사이의 시간차)이 벽면전단응력의 크기와 분포에 미치는 영향을 규명하기 위해 맥동유동하에 있는 직선 탄성혈관에서 전산유체해석을 수행하였다. 탄성을 갖는 직선혈관의 경우에는 벽면운동과 임피던스 페이즈앵글을 고려한 섭동해가 존재하는데, 이를 본 연구의 수치해와 비교함으로 수치해의 타당성을 입증하였다. 해석결과, 혈관의 벽면운동으로 인해 축방향 속도분포와 압력구배의 값에 어떤 추가분이 발생하는 것을 관찰하였다. 이러한 추가분에 의해 벽면전단응력(wall shear stress) 및 압력구배(pressure gradient)의 진폭(amplitude: time-varying component)은 감소하고 평균값(mean: time-averaged component)에도 변화를 보였는데 그 변화의 경향은 임피던스 페이즈앵글에 따라 매우 다른 모습을 보였다. 즉, 임피던스 페이즈앵글이 음의 값을 갖게 될 수록 벽면전단응력의 평균은 감소하고 진폭은 증가하는 경향을 보였다. $\pm$4%의 벽면운동이 있는 경우 대동맥에서 임피던스 페이즈앵글의 변화 가능범위인 0$^{\circ}$에서 -90$^{\circ}$로 페이즈 앵글을 감소시켰을 때 벽면전단응력의 평균값은 10.5% 감소하고 진폭은 17.5% 증가하였다. 그러므로 고혈압환자와 같이 음의 큰 페이즈앵글을 갖는 경우 벽면 전단응력의 시간에 따른 변화량(진폭/평균)이 상대적으로 커지므로 low and oscillatory shear stress 이론에 의하면 동맥경화에 더 민감하게 된다.

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