• Title/Summary/Keyword: in-plane stress

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Free Vibration Analysis of Plane Structures with Isogeometric Concept (등기하개념을 이용한 평면구조물의 자유진동해석)

  • Lee, Sang-Jin
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.35 no.9
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    • pp.171-182
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    • 2019
  • Isogeometric concept is introduced to carry out free vibration analysis of plane structures. The geometry of structures is represented by using non-uniform rational B-spline surface (NURBS) and its basis function is consistently used in the formulation of plane stress element. In addition, multi-patch strategy is introduced to deal with the openings in building. The performance of the present isogeometric plane stress element is investigated by using five numerical examples. From numerical results, it is found to be that the isogeometric concept can successfully identify reliable natural frequencies and associated mode shapes of plane structures with/without openings in efficient way.

Dislocation in Semi-infinite Half Plane Subject to Adhesive Complete Contact with Square Wedge: Part I - Derivation of Corrective Functions (직각 쐐기와 응착접촉 하는 반무한 평판 내 전위: 제1부 - 보정 함수 유도)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
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    • v.38 no.3
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    • pp.73-83
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    • 2022
  • This paper is concerned with an analysis of a surface edge crack emanated from a sharp contact edge. For a geometrical model, a square wedge is in contact with a half plane whose materials are identical, and a surface perpendicular crack initiated from the contact edge exists in the half plane. To analyze this crack problem, it is necessary to evaluate the stress field on the crack line which are induced by the contact tractions and pseudo-dislocations that simulate the crack, using the Bueckner principle. In this Part I, the stress filed in the half plane due to the contact is re-summarized using an asymptotic analysis method, which has been published before by the author. Further focus is given to the stress field in the half plane due to a pseudo-edge dislocation, which will provide a stress solution due to a crack (i.e. a continuous distribution of edge dislocations) later, using the Burgers vector. Essential result of the present work is the corrective functions which modify the stress field of an infinite domain to apply for the present one which has free surfaces, and thus the infiniteness is no longer preserved. Numerical methods and coordinate normalization are used, which was developed for an edge crack problem, using the Gauss-Jacobi integration formula. The convergence of the corrective functions are investigated here. Features of the corrective functions and their application to a crack problem will be given in Part II.

Improved Turbulence Model on the 3 Dimensional Plane of Symmetry Flow (3차원 대칭단면 유동장에서의 개선된 난류모델)

  • Sohn C. H.
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.1-8
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    • 1997
  • Two versions of anisotropic k-ε turbulence model are incorporated in the modified k-ε model of Sohn et al. to avoid the need for the experimental normal stress value in the model and applied to convergent and divergent flows with strong and adverse pressure gradients in the plane of symmetry of a body of revolution. The models are the nonlinear k-ε model of Speziale and the anisotropic model of Nisizima & Yoshizawa. All of the models yield satisfactory results for relatively complex flow on a plane-of-symmetry boundary layer. The results of the models are compared with those results of experimental normal stress value.

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Weight Function Theory for Piezoelectric Materials with Crack in Anti-Plane Deformation (균열을 가진 압전재료에 대한 면외 변형에서의 가중함수이론)

  • Son, In-Ho;An, Deuk-Man
    • Journal of Ocean Engineering and Technology
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    • v.24 no.3
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    • pp.59-63
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    • 2010
  • In this paper, an electroelastic analysis is performed on a piezoelectric material with an open crack in anti-plane deformation. Bueckner’s weight function theory is extended to piezoelectric materials in anti-plane deformation. The stress intensity factors and electric displacement intensity factor are calculated by the weight function theory.

Photoelastic Stress Analysis of the Abutment Surrounding Tissue According to Shape of the Proximal Plate of the RPI Clasp (압축하중시 RPI clasp의 3가지 다른 proximal plate 형태에 따른 지대치 주위조직의 광탄성 응력 분석)

  • Choi, Jung Soo;Kim, Busob
    • Journal of Technologic Dentistry
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    • v.34 no.4
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    • pp.473-482
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    • 2012
  • Purpose: The purpose of this study was to investigate the stress distribution of the surrounding tissues according to 3 proximal plate types of the RPI clasp. Methods: The removeable partial denture which mandibular right and left second premolars and mandibular molars were lost was attached to a three dimensional photo elastic epoxy resin model. Then 120N of vertical load was applied. After 3-dimensional photoelastic stress analysis was used to record the isochromatic fringe patterns. Results: Kratochvil type guiding plane exhibited little uniform stress distribution on load center and alveolar ridge, but higher stress concentration on buccal surface of second premolar. Krol type guiding plane exhibited the stress concentration on the front of load center and relatively higher stress concentration on buccal surface of first premolar. However, this type had no effect on canine. Researcher type guiding plane showed the stress concentration on second premolar and molar, but the little stress distribution on first premolar. Conclusion: In all types, excessive stress concentration was appeared and three types were not significant different.

A study on the effect of residual stress on welding deformations in thin plate structures (판구조물의 용접 변형에 미치는 잔류응력의 영향에 관한 연구)

  • 서승일
    • Proceedings of the KWS Conference
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    • 2004.05a
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    • pp.217-219
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    • 2004
  • It has been known that out-of-plane deformation in thin plate structure is caused by the angular deformation of welded joint. However, experimental results show that conventional theory based on angular deformation is not appropriate for prediction of out-of-plane deformation in thin plate structure. In this study, large deformation plate theory is introduced to clarify the effect of residual stress on out-of-plane deformation. The results by the proposed method show good agreement with the experimental results.

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Parallel Crack in Bonded Dissimilar Orthotropic Planes Under Out-of-Plane Loading (면외하중을 받는 상이한 직교 이방성 평면내의 평행균열)

  • 최성렬;권용수;채영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.170-180
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    • 1995
  • A parallel crack in bonded dissimilar orthotropic planes under out-of-plane loading is analyzed. The problem is formulated by Fourier integral transforms, and reduced to a pair of dual integral equations. By solving the integral equations, the asymptotic stress and displacement fields near the crack tip are determined in closed form, from which the stress intensity factor and energy release rate are obtained. Discontinuity in the stress intensity factor as the distance ratio h/a of the parallel crack approaches zero is found, while the energy releas rate is shown to be continuous at h/a = 0. This information can immediately be used to generate the stress intensity factor for the parallel crack near the interface. By employing "the maximum energy release rate criterion", it could be shown in the case of no existing crack initially that the parallel crack is formed far from the interface for the more compliant material, while it is formed close to the interface for the stiffer material. material.

FeCoB Films with Large Saturation Magnetization and High Magnetic Anisotropy Field to Attain High Ferromagnetic Resonance Frequency

  • Nakagawa, Shigeki;Hirata, Ken-Ichiro
    • Journal of Magnetics
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    • v.18 no.2
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    • pp.155-158
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    • 2013
  • FeCoB films were being prepared on a Ru underlayer by using the oblique incidence of sputtered and back-scattered particles which have a high in-plane magnetic anisotropy field $H_k$ above 400 Oe. It is suitable to attain such deposition condition when facing targets sputtering system. The in-plane X-ray diffraction analysis clarified that there is anisotropic residual stress which is the origin of the high in-plane magnetic anisotropy. The directional crystalline alignment and inclination of crystallite growth were also observed. Such anisotropic crystalline structures may affect the anisotropic residual stress in the films. The B content of 5.6 at.% was appropriate to induce such anisotropic residual stress and $H_k$ of 410 Oe in this experiment. The film with B content of 6 at.% possessed large saturation magnetization of 22 kG and high $H_k$ of 500 Oe. The film exhibited high ferromagnetic resonance frequency of 9.2 GHz.

Stress intensity factor of semi-infinite parallel crack propagated with constant velocity in dissimilar orthotropic strip under out-of-plane deformation (상이한 직교이방성 띠판에 대한 면외변형 하의 반무한 등속 평행균열에서의 응력확대계수)

  • Park, Jae-Wan;Kwon, Yong-Su;Jeong, Jae-Tack;Choi, Sung-Ryul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.447-456
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    • 1997
  • Stress intensity factor of semi-infinite parallel crack propagation with constant velocity in dissimilar orthotropic strip under out-of-plane clamped desplacement is investigated. Using Fourier integral transforms the boundary value problem is derived by a pair of dual integral equation and finally reduced to a single Wiener-Hopf equation. By applying Wiener-Hopf technique the equation is solved. Applying this result the asymptotic stress fields near the crack tip are determined, from which the stress intensity factor is obtained in closed form. The more the ratio of anisotropy or the ratio of bi-material shear modulus increase in the main material including the crack, the more the stress intensity factor increases. Discontinuity in the stress intensity factor is found as the parallel crack approaches the interface. In special case, the results of isotropic materials agree well with those by the previous researchers.

Effect of Fiber Volume Fraction on the Stress Intensity Factors for Multi Layered Composites Under Arbitrary Anti-Plane Shear Loading

  • Kim, Sung-Ho;Lee, Kang-Yong;Joo, Sung-Chul
    • Journal of Mechanical Science and Technology
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    • v.14 no.9
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    • pp.920-927
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    • 2000
  • A multi-layered orthotropic material with a center crack is subjected to an anti-plane shear loading. The problem is formulated as a mixed boundary value problem by using the Fourier integral transform method. This gives a Fredholm integral equation of the second kind. The integral equation is solved numerically and anti-plane shear stress intensity factors are analyzed in terms of the material orthotropy for each layer, number of layers, crack length to layer thickness and the order of the loading polynomial. Also, the case of monolithic and hybrid composites are investigated in terms of the local fiber volume fraction and the global fiber volume fraction.

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