• 제목/요약/키워드: Logarithmic-law

검색결과 52건 처리시간 0.054초

Bending and free vibration analysis of functionally graded beams on elastic foundations with analytical validation

  • Hadji, Lazreg;Bernard, Fabrice
    • Advances in materials Research
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    • 제9권1호
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    • pp.63-98
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    • 2020
  • The novelty of this paper is the use of a simple higher order shear and normal deformation theory for bending and free vibration analysis of functionally graded material (FGM) beams on two-parameter elastic foundation. To this aim, a new shear strain shape function is considered. Moreover, the proposed theory considers a novel displacement field which includes undetermined integral terms and contains fewer unknowns with taking into account the effects of both transverse shear and thickness stretching. Different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. In addition, the effect of different micromechanical models on the bending and free vibration response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams for which properties vary continuously across the thickness according to a simple power law. Hamilton's principle is used to derive the governing equations of motion. Navier type analytical solutions are obtained for the bending and vibration problems. Numerical results are obtained to investigate the effects of power-law index, length-to-thickness ratio, foundation parameter, the volume fraction of porosity and micromechanical models on the displacements, stresses, and frequencies.

A Study on Dynamic Crack-Tip Fields in a Strain Softening Material

  • Jang, Seok-Ki;Xiankui Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • 제27권4호
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    • pp.494-502
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    • 2003
  • The near-tip field of mode-I dynamic cracks steadily propagating in a strain softening material is investigated under plane strain conditions. The material is assumed to be incompressible and its deformation obeys the $J_2$ flow theory of plasticity. A power-law stress-strain relation with strain softening is adopted to account for the damage behavior of materials near the dynamic crack tip. By assuming that the stresses and strain have the same singularity at the crack tip. this paper obtains a fully continuous dynamic crack-tip field in the damage region. Results show that the stress and strain components the same logarithmic singularity of (In(R/r))$\delta$, and the angular variations of filed quantities are identical to those corresponding to the dynamic cracks in the elastic-perfectly plastic material.

A probabilistic analysis of Miner's law for different loading conditions

  • Blason, Sergio;Correia, Jose A.F.O.;Jesus, Abilio M.P. De;Calcada, Rui A.B.;Fernandez-Canteli, Alfonso
    • Structural Engineering and Mechanics
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    • 제60권1호
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    • pp.71-90
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    • 2016
  • In this paper, the normalized variable V=(log N-B)(log ${\Delta}{\sigma}-C$-C), as derived from the probabilistic S-N field of Castillo and Canteli, is taken as a reference for calculation of damage accumulation and probability of failure using the Miner number in scenarios of variable amplitude loading. Alternative damage measures, such as the classical Miner and logarithmic Miner, are also considered for comparison between theoretical lifetime prediction and experimental data. The suitability of this approach is confirmed for it provides safe lifetime prediction when applied to fatigue data obtained for riveted joints made of a puddle iron original from the Fao bridge, as well as for data from experimental programs published elsewhere carried out for different materials (aluminium and concrete specimens) under distinct variable loading histories.

An investigation on the effect of the wall treatments in RANS simulations of model and full-scale marine propeller flows

  • Choi, Jung-Kyu;Kim, Hyoung-Tae
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.967-987
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    • 2020
  • A numerical analysis is carried out for the marine propellers in open water conditions to investigate the effect of the wall treatments in model and full scale. The standard wall function to apply the low of the wall and the two layer zonal model to calculate the whole boundary layer for a transition phenomenon are used with one turbulence model. To determine an appropriate distance of the first grid point from the wall when using the wall function, a formula based on Reynolds number is suggested, which can estimate the maximum y+ satisfying the logarithmic law. In the model scale, it is confirmed that a transition calculation is required for a model scale propeller with low Reynolds number that the transient region appears widely. While in the full scale, the wall function calculation is recommended for efficient calculations due to the turbulence dominant flow for large Reynolds number.

한국 경기만에서 조류자료에 의한 경계면 전단속도 산출 (Estimation of Boundary Shear Velocities from Tidal Current in the Gyeonggi Bay, Korea)

  • 최진혁
    • 한국해양학회지
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    • 제26권4호
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    • pp.340-349
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    • 1991
  • 1987년 8월 24일부터 9월 28일까지 경기만에 발달한 조류 기원 사퇴위에서 측정한 조류 자료를 분석하여 해저면 상부 1.0 m 에서의 조류 속도(U /SUP 100/) 및 경계면에 서의 전단 속도(U /SUP */)를 구하였다. 전 조사기간 동안 평균 조류 속도는 중충(해 저면 상부 9.0 m)에서 창조시 56.3 cm/sec, 낙조시 63.7 cm/sec 의 지수는 0.15로 추 정된다. 해저 경계층에서의 유속 구조가 대수적 속도 구조 (logarithmix velocity profile) 가정을 이용하여 구한 U /SUP 100/, U /SUP */의 평균값은 각각 41.4 cm/sec로 계산되었다. 본 연구에서 계산된 평균 U /SUP */ 값은 (2.39 cm/sec)동일 지 역에서 최(1990)가 보고한 경계면에서의 임계전단 속도 U /SUP *c/ 보다 상당히 크며, 따라서 본 연구지역의 모래는 대부분의 조석 기간중 쉽게 침식 운반되는 것으로 보여 진다.

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Shear correction factors of a new exponential functionally graded porous beams

  • Mohammed Sid Ahmed Houari;Aicha Bessaim;Tarek Merzouki;AhmedAmine Daikh;Aman Garg;Abdelouahed Tounsi;Mohamed A. Eltaher;Mohamed-Ouejdi Belarbi
    • Structural Engineering and Mechanics
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    • 제89권1호
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    • pp.1-11
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    • 2024
  • This article introduces a novel analytical model for examining the impact of porosity on shear correction factors (SCFs) in functionally graded porous beams (FGPB). The study employs uneven and logarithmic-uneven modified porosity-dependent power-law functions, which are distributed throughout the thickness of the FGP beams. Additionally, a modified exponential-power law function is used to estimate the effective mechanical properties of functionally graded porous beams. The correction factor plays a crucial role in this analysis as it appears as a coefficient in the expression for the transverse shear stress resultant. It compensatesfor the assumption that the shear strain is uniform across the depth of the cross-section. By applying the energy equivalence principle, a general expression for static SCFs in FGPBs is derived. The resulting expression aligns with the findings obtained from Reissner's analysis, particularly when transitioning from the two-dimensional case (plate) to the one-dimensional case (beam). The article presents a convenient algebraic form of the solution and provides new case studies to demonstrate the practicality of the proposed formulation. Numerical results are also presented to illustrate the influence of porosity distribution on SCFs for different types of FGPBs. Furthermore, the article validates the numerical consistency of the mechanical property changesin FG beams without porosity and the SCF by comparing them with available results.

Wind characteristics in the high-altitude difference at bridge site by wind tunnel tests

  • Zhang, Mingjin;Zhang, Jinxiang;Li, Yongle;Yu, Jisheng;Zhang, Jingyu;Wu, Lianhuo
    • Wind and Structures
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    • 제30권6호
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    • pp.547-558
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    • 2020
  • With the development of economy and construction technology, more and more bridges are built in complex mountainous areas. Accurate assessment of wind parameters is important in bridge construction at complex terrain. In order to investigate the wind characteristics in the high-altitude difference area, a complex mountain terrain model with the scale of 1:2000 was built. By using the method of wind tunnel tests, the study of wind characteristics including mean wind characteristics and turbulence characteristics was carried out. The results show: The wind direction is affected significant by the topography, the dominant wind direction is usually parallel to the river. Due to the sheltering effect of the mountain near the bridge, the wind speed and wind attack angle along the bridge are both uneven which is different from that at flat terrain. In addition, different from flat terrain, the wind attack angle is mostly negative. The wind profiles obey exponential law and logarithmic law. And the fitting coefficient is consistent with the code which means that it is feasible to use the method of wind tunnel test to simulate complex terrain. As for turbulence characteristics, the turbulence intensity is also related to the topography. Increases sheltering effect of mountain increases the degree of breaking up the large-scale vortices, thereby increasing the turbulence intensity. Also, the value of turbulence intensity ratio is different from the recommended values in the code. The conclusions of this study can provide basis for further wind resistance design of the bridge.

미고결 셰일의 크립 특성 (Creep Characteristics of Unconsolidated Shale)

  • 장찬동
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2006년도 공동학술대회 논문집
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    • pp.195-200
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    • 2006
  • 실내실험을 통해 미고결 셰일의 압밀은 시간 의존적 비복원 점성변형임을 보였다. 점소성 이론과 Cam-clay 이론을 접목하여 미고결 셰일의 구성방정식이 동항복/정항복면의 크기에 대한 지수함수의 형태로 주어짐을 보였으며 이를 통해 크립 변형은 시간에 대한 로그함수의 형태로 구해짐을 보였다. 실험자료와 이론을 비교하여 구성방정식의 물질상수를 규명한 결과 셰일의 항복점은 변형속도가 10배 증가함에 따라 약 6%의 증가하는 것으로 나타났으며 이는 실내 변형속도 조건에서 규명한 셰일의 물성(항복점, 공극률)을 실제 현장 변형속도 조건에 적용시에 상당한 오차를 유발할 수 있음을 시사한다.

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Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory

  • Bekkaye, Tahar Hacen Lamine;Fahsi, Bouazza;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Benrahou, Kouider Halim;Tounsi, Abdelouahed;Al-Zahrani, Mesfer Mohammad
    • Computers and Concrete
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    • 제26권5호
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    • pp.439-450
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    • 2020
  • In this research, bending and buckling analyses of porous functionally graded (FG) plate under mechanical load are presented. The properties of the FG plate vary gradually across the thickness according to power-law and exponential functions. The material imperfection is considered to vary depending to a logarithmic function. The plate is modeled by a refined trigonometric shear deformation theory where the use of the shear correction factor is unnecessary. The governing equations of the FG plate are derived via virtual work principle and resolved via Navier solutions. The accuracy of the present model is checked by comparing the obtained results with those found in the literature. The various effects influencing the stresses, displacements and critical buckling loads of the plate are also examined and discussed in detail.

Effects of α-particle beam irradiation on superconducting properties of thin film MgB2 superconductors

  • Kim, Sangbum;Duong, Pham van;Ha, Donghyup;Oh, Young-Hoon;Kang, Won Nam;Hong, Seung Pyo;Kim, Ranyoung;Chai, Jong Seo
    • 한국초전도ㆍ저온공학회논문지
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    • 제18권2호
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    • pp.8-13
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    • 2016
  • Superconducting properties of thin film MgB2 superconductors irradiated with 45 MeV ${\alpha}$-particle beam were studied. After the irradiation, enhancement of the critical current density and pinning force was observed, scaling close to strong pinning formula. Double logarithmic plots of the maximum pinning force density with irreversible magnetic field show a power law behavior close to carbon-doped MgB2 film or polycrystals. Variation of normalized pinning force density in the reduced magnetic field suggests scaling formulas for strong pinning mechanism like planar defects. We also observed a rapid decay of critical current density as the vortex lattice constant decreases, due to the strong interaction between vortices and increasing magnetic field.