• 제목/요약/키워드: in-plane and out-of-plane

검색결과 1,841건 처리시간 0.028초

Non-linear modeling of masonry churches through a discrete macro-element approach

  • Panto, Bartolomeo;Giresini, Linda;Sassu, Mauro;Calio, Ivo
    • Earthquakes and Structures
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    • 제12권2호
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    • pp.223-236
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    • 2017
  • Seismic assessment and rehabilitation of Monumental Buildings constitute an important issue in many regions around the world to preserve cultural heritage. On the contrary, many recent earthquakes have demonstrated the high vulnerability of this type of structures. The high nonlinear masonry behaviour requires ad hoc refined finite element numerical models, whose complexity and computational costs are generally unsuitable for practical applications. For these reasons, several authors proposed simplified numerical strategies to be used in engineering practice. However, most of these alternative methods are oversimplified being based on the assumption of in-plane behaviour of masonry walls. Moreover, they cannot be used for modelling the monumental structures for which the interaction between plane and out-plane behaviour governs the structural response. Recently, an innovative discrete-modelling approach for the simulation of both in-plane and out of-plane response of masonry structures was proposed and applied to study several typologies of historic structures. In this paper the latter model is applied with reference to a real case study, and numerically compared with an advanced finite element modelling. The method is applied to the St.Venerio church in Reggiolo (Italy), damaged during the 2012 Emilia-Romagna earthquake and numerically investigated in the literature.

Seismic performance of L-shaped RC walls sustaining Unsymmetrical bending

  • Zhang, Zhongwen;Li, Bing
    • Structural Engineering and Mechanics
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    • 제78권3호
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    • pp.269-280
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    • 2021
  • Reinforced concrete (RC) structural walls with L-shaped sections are commonly used in RC buildings. The walls are often expected to sustain biaxial load and Unsymmetrical bending in an earthquake event. However, there currently exists limited experimental evidence regarding their seismic behaviour in these lateral loading directions. This paper makes experimental and numerical investigations to these walls behaviours. Experimental evidences are presented for four L-shaped wall specimens which were tested under simulated seismic load from different lateral directions. The results highlighted some distinct behaviour of L-shaped walls sustaining Unsymmetrical bending relating to their seismic performance. First, due to the Unsymmetrical bending, out-of-plane reaction forces occur for these walls, which contribute to accumulation of the out-of-plane deformations of the wall, especially when out-of-plane stiffness of the section is reduced by horizontal cracks in the cyclic load. Secondly, cracking was found to affect shear centre of the specimens loaded in the Unsymmetrical bending direction. The shear centre of these specimens distinctly differs in the flange in the positive and negative loading direction. Cracking of the flange also causes significant warping in the bottom part of the wall, which eventually lead to out-of-plane buckling failure.

수치해석(미분구적법 DQM)을 이용한 곡선보의 진동분석 (Vibration Analysis of Curved Beams Using Differential Quadrature)

  • Ki-Jun Kang
    • 한국안전학회지
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    • 제14권1호
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    • pp.199-207
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    • 1999
  • 곡선보(curved beam)의 평면내(in-plane)와 평면외(out-of-plane)의 자유진동을 해석하는데 differential quadrature method (DQM)를 이용하여 다양한 경계조건(boundary conditions)과 굽힘각 (opening angles)에 따른 진동수(frequencies)를 계산하였다. DQM의 결과는 엄밀해(exact solution) 또는 다른 수치해석(Rayleigh-Ritz, Galerkin 또는 FEM) 결과와 비교하였으며, DQM은 적은 요소(grid points)를 사용하여 정확한 해석결과를 보여주었다.

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Heat Treatment of Carbonized Photoresist Mask with Ammonia for Epitaxial Lateral Overgrowth of a-plane GaN on R-plane Sapphire

  • Kim, Dae-sik;Kwon, Jun-hyuck;Jhin, Junggeun;Byun, Dongjin
    • 한국재료학회지
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    • 제28권4호
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    • pp.208-213
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    • 2018
  • Epitaxial ($11{\bar{2}}0$) a-plane GaN films were grown on a ($1{\bar{1}}02$) R-plane sapphire substrate with photoresist (PR) masks using metal organic chemical vapor deposition (MOCVD). The PR mask with striped patterns was prepared using an ex-situ lithography process, whereas carbonization and heat treatment of the PR mask were carried out using an in-situ MOCVD. The heat treatment of the PR mask was continuously conducted in ambient $H_2/NH_3$ mixture gas at $1140^{\circ}C$ after carbonization by the pyrolysis in ambient $H_2$ at $1100^{\circ}C$. As the time of the heat treatment progressed, the striped patterns of the carbonized PR mask shrank. The heat treatment of the carbonized PR mask facilitated epitaxial lateral overgrowth (ELO) of a-plane GaN films without carbon contamination on the R-plane sapphire substrate. Thhe surface morphology of a-plane GaN films was investigated by scanning electron microscopy and atomic force microscopy. The structural characteristics of a-plane GaN films on an R-plane sapphire substrate were evaluated by ${\omega}-2{\theta}$ high-resolution X-ray diffraction. The a-plane GaN films were characterized by X-ray photoelectron spectroscopy (XPS) to determine carbon contamination from carbonized PR masks in the GaN film bulk. After $Ar^+$ ion etching, XPS spectra indicated that carbon contamination exists only in the surface region. Finally, the heat treatment of carbonized PR masks was used to grow high-quality a-plane GaN films without carbon contamination. This approach showed the promising potential of the ELO process by using a PR mask.

Improved analytical formulation for Steel-Concrete (SC) composite walls under out-of-plane loads

  • Sabouri-Ghomi, Saeid;Nasri, Arman;Jahani, Younes;Bhowmick, Anjan K.
    • Steel and Composite Structures
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    • 제38권4호
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    • pp.463-476
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    • 2021
  • The concept of using Steel-concrete (SC) composite walls as retaining walls has recently been introduced by the authors and their effectiveness of resisting out-of-plane loads has also been demonstrated. In this paper, an improved analytical formulation based on partial interaction theory, which has previously been developed by the authors, is presented. The improved formulation considers a new loading condition and also accounts for cracking in concrete to simulate the real conditions. Due to a limited number of test specimens, further finite element (FE)simulations are performed in order to verify the analytical procedure in more detail. It is observed that the results from the improved analytical procedure are in excellent agreement with both experimental and numerical results. Moreover, a detailed parametric study is conducted using the developed FE model to investigate effects of different parameters, such as distance between shear connectors, shear connector length, concrete strength, steel plate thickness, concrete cover thickness, wall's width to thickness ratio, and wall's height to thickness ratio, on the behavior of SC composite walls subjected to out-of-plane loads.

ESPI 입사광의 기하구조에 따른 sensitivity vector 분석 (The analysis of dependence of sensitivity vector of ESPI on the illumination geometry)

  • 홍석경;백성훈;조재완;김철중
    • 한국광학회지
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    • 제5권3호
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    • pp.379-385
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    • 1994
  • ESPI에서 물체를 비추는 입사광의 각도 및 거리에 따른 sensitivity vector를 구하고 입사광이 평행광일 때와 발산광일 때 두광원의 파면차이에 의한 변위의 민감도 차이를 비교하였다. In-plane 및 out-of-plane 면위에 민감한 ESPI 광학계 구성에 대해서 각각 분석하였다. 이 결과로부터 ESIP에서 입사광을 광학계의 구성이 용이한 발산광으로 하고 변위량의 계산에서는 물체 전면에서 sensitivity vector가 일정하다고 근사하는 것이 큰 오차가 없이 유용함을 알 수 있었다.

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Solution for a circular tunnel in strain-softening rock with seepage forces

  • Wei, Luo;Zo, Jin-feng;An, Wei
    • Geomechanics and Engineering
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    • 제22권6호
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    • pp.553-564
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    • 2020
  • In this study, a simple numerical approach for a circular tunnel opening in strain-softening surrounding rock is proposed considering out-of-plane stress and seepage force based on Biot's effective stress principle. The plastic region of strain-softening surrounding rock was divided into a finite number of concentric rings, of which the thickness was determined by the internal equilibrium equation. The increments of stress and strain for each ring, starting from the elastic-plastic interface, were obtained by successively incorporating the effect of out-of-plane stress and Biot's effective stress principle. The initial value of the outmost ring was determined using equilibrium and compatibility equations. Based on the Mohr-Coulomb (M-C) and generalized Hoek-Brown (H-B) failure criteria, the stress-increment approach for solving stress, displacement, and plastic radius was improved by considering the effects of Biot's effective stress principle and the nonlinear degradation of strength and deformation parameters in plastic zone incorporating out-of-plane stress. The correctness of the proposed approach is validated by numerical simulation.

Dual-Beam Shearography를 이용한 물체의 내부결함 측정 (Measurements of Inner Defects of the Plate using Dual-beam Shearography)

  • 함효식;최성을
    • 한국광학회지
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    • 제16권3호
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    • pp.239-247
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    • 2005
  • 본 연구에서는 물체의 내부 결함 측정을 위해서 레이저 스페클에 바탕을 둔 dual-beam shearography 기술을 이용하였다. 층 밀림을 만들기 위해서는 여러 가지 간섭계 중에서 마이켈슨 층 밀림 간섭계를 사용하였다. 열전도도가 낮은 아크릴 판 내부에 인위적인 결함을 만들어서 시료로 사용하였다. 시료에 레이저 beam을 조사하여 산란된 빛을 마이켈슨 층 밀림 간섭계를 통하여 스페클 간섭무의를 얻었으며, 위상이동기술을 통하여 위상도를 얻었다. 단일 beam을 시료에 조사할 경우, 물체의 변형의 in-plane과 out-of-plane 성분이 혼합된 상태로 측정되기 때문에 결함에 대한 정확한 분석이 불가능하다. 따라서 두 성분을 분리하기 위해서 dual-beam shearography 기술을 도입하였다. 내부 결함이 있는 시료에 이중 beam을 조사하여 변형 전의 간섭 스페클을 얻고, 약간의 전기 열을 가하여 미세한 변형을 가한 후의 간섭스페클을 얻은 후 의 위상도를 얻은 후 LS filtering과 unwrapping 처리를 통하여 내부 결함 부위를 쉽게 알아볼 수 있도록 하였을 뿐 아니라, 외력에 의한 물체의 미세 변형에 따른 결함 부위에서의 in-plane과 out-of-plane 변형성분의 위상도와 대략적인 변형 정도를 알아낼 수 있었다. 전기 열에 의한 내부결함이 있는 아크릴 판의 변형은 주로 z 방향(out-of-plane)으로 일어났으며 이것은 낮은 열전도도 때문이라는 예측과 잘 일치하였다.

이방성재료 접합 띠판에 대한 면외 동적계면균열 (Mode III Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Anti-Plane Deformation)

  • 박재완;최성렬
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.111-116
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    • 2000
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strip under out-of-plane clamped displacements is analyzed. The asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. The dynamic energy release rate is also obtained as a form related to the stress intensity factor.

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유한두께를 가지는 보강된 균열평판에 대한 면외굽힘을 고려한 응력강도계수 계산 (Calculation of stress intensity factor considering out-of-plane bending for a patched crack with finite thickness)

  • 김종호;이순복
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.165-169
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    • 2000
  • A simple method was suggested to calculate the stress intensity factor for a one-sided patched crack with finite thickness. To consider out-of-plane bending effect resulting from the load-path eccentricity, the spring constant as a function of the through-thickness coordinate z was calculated from the stress distribution in the un-cracked plate, ${\sigma}_{yy}(y=0,\;z)$, and the displacement for the representative single strip Joint, $u_y(y=0,\;z)$. The stress Intensity factors were obtained using Rose's asymptotic solution approach and compared with the finite element results. In short crack region, two results had a little difference. However, two results were almost same in long crack region. On the other hand, the stress intensity factor using plane stress assumption was more similar to finite element result than plane strain condition.

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