• Title/Summary/Keyword: in-plane and out-of-plane

Search Result 1,847, Processing Time 0.031 seconds

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

  • Panto, Bartolomeo;Giresini, Linda;Sassu, Mauro;Calio, Ivo
    • Earthquakes and Structures
    • /
    • v.12 no.2
    • /
    • pp.223-236
    • /
    • 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
    • /
    • v.78 no.3
    • /
    • pp.269-280
    • /
    • 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.

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

  • Ki-Jun Kang
    • Journal of the Korean Society of Safety
    • /
    • v.14 no.1
    • /
    • pp.199-207
    • /
    • 1999
  • The differential quadrature method (DQM) is applied to computation of eigenvalues of the equations of motion governing the free in-plane and out-of-plane vibrations for circular curved beams. Fundamental frequencies are calculated for the members with various end conditions and opening angles. The results are compared with existing exact solutions and numerical solutions by other methods (Rayleigh-Ritz, Galerkin or FEM) for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

  • PDF

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
    • Korean Journal of Materials Research
    • /
    • v.28 no.4
    • /
    • pp.208-213
    • /
    • 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
    • /
    • v.38 no.4
    • /
    • pp.463-476
    • /
    • 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.

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

  • 홍석경;백성훈;조재완;김철중
    • Korean Journal of Optics and Photonics
    • /
    • v.5 no.3
    • /
    • pp.379-385
    • /
    • 1994
  • The sensitivity vector which depends on geometry of object illumination angles and distances of ESPI was analyzed. And the sensitivities of in-plane and out-of-plane displacements have been investigated. From these results, we have the conclusion that it is useful to use the diverging beam for object illumination. With diverging object illumination, only little errors are occurred when we approximate the sensitivity vector to constant all over the object surface.urface.

  • PDF

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

  • Ham, Hyo-Shick;Choi, Sung-Eul
    • Korean Journal of Optics and Photonics
    • /
    • v.16 no.3
    • /
    • pp.239-247
    • /
    • 2005
  • In this study, we have used newly developed dual-beam shearography which is based on laser speckle that includes various information about an object. Among the several shearing techniques, we used Michelson shearing interference technique which is the most powerful. Acrylate plate was used as a sample, which has inner defects and low thermal conductivity. Michelson shearing interferometer was used for obtaining speckle fringes. We also used phase shifting technique to get a phase map. Using single beam illumination, we could obtain mixture of deformation components of both in-plane and out-of-plane. In order to separate the two components, we have used dual-beam shearography technique. We have obtained a speckle pattern of both before and after deformation. Through LS filtering and unwrapping processes, we could find a position and a shape of the inner defects easily. Deformation of the acrylate plate due to thermal heating has occurred mainly in z-direction(out-of-plane) because it has low thermal conductivity. The acrylate plate was deformed only at the restricted area where the electrical heat applied.

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

  • Wei, Luo;Zo, Jin-feng;An, Wei
    • Geomechanics and Engineering
    • /
    • v.22 no.6
    • /
    • pp.553-564
    • /
    • 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.

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

  • Park, Jae-Wan;Choi, Sung-Ryul
    • Proceedings of the KSME Conference
    • /
    • 2000.11a
    • /
    • pp.111-116
    • /
    • 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.

  • PDF

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

  • Kim, Jong-Ho;Lee, Soon-Bok
    • Proceedings of the KSME Conference
    • /
    • 2000.04a
    • /
    • pp.165-169
    • /
    • 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.

  • PDF