• 제목/요약/키워드: displacement fields

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직교이방성 압전재료에서 전파 하는 모드 III 균열의 응력장과 변위장 (Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Piezoelectric Materials)

  • 이광호
    • 대한기계학회논문집A
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    • 제34권6호
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    • pp.701-708
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    • 2010
  • 면외평면전단하중과 면내전기하중을 받는 직교이방성 압전재료에서 전기투과형 전파균열장을 해석하였다. 압전재료에서 전파하는 균열의 운동방정식이 유도되었으며 근접해법을 통하여 응력장과 변위장의 해를 얻었다. 압전상수 및 유전율 등이 균열선단의 응력장과 변위장에 미치는 영향을 명확히 나타내었다. 본 연구에서 유도된 응력장과 변위장을 사용하여 압전재료에서 전파하는 균열선단부근의 응력과 변위의 특성에 대하여 논의하였다.

Y방향을 따라 물성치구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장 (Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y Direction)

  • 이광호
    • 한국산업융합학회 논문집
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    • 제9권1호
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    • pp.37-44
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    • 2006
  • Stress and displacement fields of a Mode III crack propagating along the normal to gradient in an orthotropic functionally gradient materials (OFGM), which has (1) an exponential variation of shear modulus and density, and (2) linear variation of shear modulus with a constant density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields for a propagating crack at constant speed though an asymptotic analysis. The first three terms in expansion of stress and displacement are derived to explicitly bring out the influence of nonhomogeneity. When the FGM constant ${\zeta}$ is zero or $r{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

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등방성과 X방향 선형함수구배 재료의 접합계면을 따라 전파하는 모드 III 균열의 특성 (Characteristics for a Mode III Crack Propagating along Interface between Isotropic and Functionally Gradient Material with Linear Property Gradation along X Direction)

  • 이광호
    • 대한기계학회논문집A
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    • 제28권10호
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    • pp.1500-1508
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    • 2004
  • Stress and displacement fields for a crack propagating along interface between isotropic material and functionally gradient one with linear property gradation along X direction are developed. The stress and displacement fields are obtained from the complex function of steady plane motion for isotropic and functionally gradient material (FGM). The stresses and displacement in isotropic material of bimaterial are not influenced by nonhomogeneity, however, the fields in FCM are influenced by nonhomogeneity in the terms of higher order, n$\geq$3. When the nonhomogeneous parameter in FGM is zero, or in area close to crack tip, the fields are identical to those of isotropic-isotropic bimaterial. Using these stress components, the effects of nonhomogeneity on stresses are discussed.

KI Criteria of Surface Check under Stepwise Loadings of Drying Stresses

  • Park, Jung-Hwan
    • Journal of the Korean Wood Science and Technology
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    • 제27권4호
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    • pp.51-56
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    • 1999
  • Finite element method was utilized to analyze crack tip stress and displacement field under drying stress case as stepwise loading. Opening mode of single-edge-notched model was employed and analyzed by linear elastic fracture mechanics of plane stress case. The drying stresses were applied as stepwise loads at the boundary elements of the model with 10 steps of time serial. The stress intensity factor($K_I$) for opening mode reached to its maximum just prior to the stress reversal. The $K_I$ from the displacement fields revealed 1.7 times higher than those from stress fields. By comparing the two sets of $K_I$ from displacement and stress fields, single parameter $K_I$ showed its validity to characterize displacement fields around the crack tip front while stress field could not be characterized due to large variations between two sets of data.

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자오 변형률에 근거한 2절검 축대칭 셸요소 (Two Node Meridional Strain-based Axisymmetric Shell Elements)

  • 유하상;신효철
    • 대한기계학회논문집A
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    • 제21권6호
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    • pp.925-932
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    • 1997
  • Two shear-flexible curved axisymmetric shell elements with two nodes, LCCS(linear curvature and constant strain) and CCCS(constant curvature and constant strain) are designed based on the assumed meridional strain fields and shallow shell geometry. At the element level, meridional curvature, membrane strain and shear strain fields are assumed by using polynomials and the displacement fields are obtained by integrating the assumed strain fields along the shallowly curved meridian. The formulated elements have high order displacement fields consistent with the strain field. Several test problems are given to demonstrate the performance of the two elements. Analysis results obtained reveal that the elements are very accurate in the displacement and the stress predictions.

DIC법에 의한 입자강화 복합재료의 파괴에너지 및 변위장 특성 (Fracture Energy and Displacement Field Characteristics of Particulate Reinforced Composites Using DIC Method)

  • 이정원;나성현;이상연;박재범;정규동;김재훈
    • 한국추진공학회지
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    • 제21권6호
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    • pp.15-20
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    • 2017
  • 본 연구에서는 입자강화 복합재료의 파괴에너지와 변위장 특성에 대하여 분석하였다. 재료가 노출될 수 있는 온도인 상온, $-40^{\circ}C$$-60^{\circ}C$에서 쐐기쪼갬 시험을 수행하여 각 온도에 따른 재료의 파괴에너지를 산출하였다. 변위장과 변형률장은 DIC법을 활용하여 가시화 하였으며, 변위장은 DIC를 이용한 표시추적방법에 의해 측정하였다. 시험 결과, 온도가 낮아질수록 파괴에너지는 감소하였다. 표면 변위장은 상온과 $-40^{\circ}C$에서 유사하였고, $-60^{\circ}C$에선 입자강화 복합재료의 취성거동으로 인하여 크게 감소하였다. 변형률장에선 온도가 내려갈수록 전체적인 변형률범위가 감소하였다.

지수형적 물성변화를 갖는 함수구배 재료에서 구배방향을 따라 전파하는 균열 해석 (Analysis of a Crack Propagating Along the Gradient in Functionally Gradient Materials with Exponential Property Gradation)

  • 이광호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.113-118
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    • 2003
  • Stress and displacement fields for a propagating crack in a functionally gradient material (FGM) which has exponentially varying elastic and physical properties along the direction of the crack propagation, are derived. The equations of motion in nonhomogeneous material are developed using displacement potentials. The solutions to the displacement fields and the stress fields for a crack propagating at constant speed along the gradient are obtained through an asymptotic analysis. The influences of nonhomogeneity on the higher order terms of the stress fields are explicitly brought out. Using these stress components, isochromatic fringes around the stationary crack are generated at crack for different nonhomogeneity and the effects of nohonhomgeneity on these fringes are discussed.

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A 2D hybrid stress element for improved prediction of the out-of-plane fields using Fourier expansion

  • Feng, M.L.;Dhanasekar, M.;Xiao, Q.Z.
    • Structural Engineering and Mechanics
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    • 제13권5호
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    • pp.491-504
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    • 2002
  • Recently we formulated a 2D hybrid stress element from the 3D Hellinger-Reissner principle for the analysis of thick bodies that are symmetric to the thickness direction. Polynomials have typically been used for all the displacement and stress fields. Although the element predicted the dominant stress and all displacement fields accurately, its prediction of the out-of-plane shear stresses was affected by the very high order terms used in the polynomials. This paper describes an improved formulation of the 2D element using Fourier series expansion for the out-of-plane displacement and stress fields. Numerical results illustrate that its predictions have markedly improved.

X방향을 따라 물성구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장 (Stress and Displacement fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along X Direction)

  • 조상봉;이광호
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.249-259
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    • 2006
  • Stress and displacement fields of a propagating Mode III crack in an orthotropic functionally gradient material (OFGM), which has (1) linear variation of shear modulus with a constant density, and (2) an exponential variation of shear modulus and density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields fer a propagating crack at constant speed though an asymptotic analysis. The stress terms associated with $\gamma^{-1/2}\;and\;\gamma^{0}$ are not affected by the FGM constant $\zeta$ which is nonhomogeneous parameter, only on the higher order terms, the influences of nonhomogeneity on the stress are explicitly brought out. When the FGM constant $\zeta\;is\;zero\;or\;\gamma{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

평판형 압전 복합재료 작동기의 작동 변위에 미치는 인가전압 및 구동주파수의 영향 (Influence of Applied Electric Fields and Drive Frequencies on The Actuating Displacement of a Plate-type Piezoelectric Composite Actuator)

  • 구남서;우성충
    • 대한기계학회논문집A
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    • 제30권5호
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    • pp.576-584
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    • 2006
  • The actuating performance test of plate-type piezoelectric composite actuators having different lay-up sequences was experimentally carried out at simply supported and fixed-free boundary conditions. The actuating displacement of manufactured plate-type piezoelectric composite actuator (PCA) was measured using a non-contact laser displacement measurement system. Our results revealed that the actuating displacement with increasing applied electric field at a drive frequency of 1Hz increased non-linearly at the simply supported boundary condition whereas it almost linearly increased at the fixed-free boundary condition. On the other hand, the actuating displacement of piezoelectric composite actuator depended on the applied electric field in a drive frequency range from 1Hz to 10Hz, but its behavior was different in higher drive frequencies beyond 15Hz due to the occurrence of resonance. On the basis of the above experimental results, the bending characteristics of PCAs revealed different behavior depending on applied electric fields, drive frequencies as well as boundary conditions. Therefore, by investigating drive frequencies together with applied electric fields, actuating performance can be easily controlled and PCAs which were fabricated for this study will be sufficiently applied to pumping devices.