• 제목/요약/키워드: finite differences method

검색결과 218건 처리시간 0.021초

반치환 슬관절의 설계 평가를 위한 굴곡각도에 따른 곡률반경과 접촉응력의 상관도 분석 (The Correlation Analysis through the Contact Stress and the Curvature Radius according to Flexion Angle for the Design of Unicompartment Knee Replacement)

  • 이용경;유의식;김재원;임도형;정태곤;김정성
    • 대한의용생체공학회:의공학회지
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    • 제37권6호
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    • pp.215-221
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    • 2016
  • Conformity between the femoral component and tibial insert within the knee replacement may be measured in frontal or sagittal view, and shows differences in the curvature radius of the femoral component depending on the flexion angle, i.e., curvature radius has a complex effect on contact stress. Therefore, it is essential to confirm how the curvature radius effects contact stress, and provide an important variable to reduce contact stress. This study correlated contact stress with curvature radius measured in frontal and the sagittal views and confirmed the effect of curvature radius for assessment of the Newly Designed Unicompartment Knee Replacement (NDUKR). Finite element models were constructed for NDUKR and $Zimmer^{(R)}$ Unicompartment High Flex Knee Replacement system (ZUKR), incorporating the curvature radius as measured in either frontal or sagittal view. The femoral component had 1200N of compressive load applied approximately 1.65xbody weight. Contact stress was predicted at flexion angles $0^{\circ}C$, $30^{\circ}C$, $60^{\circ}C$, $90^{\circ}C$ and $120^{\circ}C$, for NDUKR: 42, 47.7, 47.7, 51.2, and 54.1 MPa, and ZUKR: 41.2, 49.5, 53.2, 54.3, and 57.4 MPa, respectively. Correlation analysis showed the influence of curvature radius measured from the sagittal view was larger than for frontal view.

Shear bond strength of zirconia to resin: The effects of specimen preparation and loading procedure

  • Chen, Bingzhuo;Yang, Lu;Lu, Zhicen;Meng, Hongliang;Wu, Xinyi;Chen, Chen;Xie, Haifeng
    • The Journal of Advanced Prosthodontics
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    • 제11권6호
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    • pp.313-323
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    • 2019
  • PURPOSE. Shear bond strength (SBS) test is the most commonly used method for evaluating resin bond strength of zirconia, but SBS results vary among different studies even when evaluating the same bonding strategy. The purpose of this study was to promote standardization of the SBS test in evaluating zirconia ceramic bonding and to investigate factors that may affect the SBS value of a zirconia/resin cement/composite resin bonding specimen. MATERIALS AND METHODS. The zirconia/resin cement/composite resin bonding specimens were used to simulate loading with a shear force by the three-dimensional finite element (3D FE) modeling, in which stress distribution under uniform/non-uniform load, and different resin cement thickness and different elastic modulus of resin composite were analyzed. In vitro SBS test was also performed to validate the results of 3D FE analysis. RESULTS. The loading flat width was an important affecting factor. 3D FE analysis also showed that differences in resin cement layer thickness and resin composite would lead to the variations of stress accumulation area. The SBS test result showed that the load for preparing a SBS specimen is negatively correlated with the resin cement thickness and positively correlated with SBS values. CONCLUSION. When preparing a SBS specimen for evaluating bond performance, the load flat width, the load applied during cementation, and the different composite resins used affect the SBS results and therefore should be standardized.

Examination of 3D long-term viscoplastic behaviour of a CFR dam using special material models

  • Karalar, Memduh;Cavusli, Murat
    • Geomechanics and Engineering
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    • 제17권2호
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    • pp.119-131
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    • 2019
  • Time dependent creep settlements are one of the most important causes of material deteriorations for the huge water structures such as concrete faced rockfill dams (CFRDs). For this reason, performing creep analyses of CFRDs is vital important for monitoring and evaluating of the future and safety of such dams. In this study, it is observed how changes viscoplastic behaviour of a CFR dam depending the time. Ilısu dam that is the longest concrete faced rockfill dam (1775 m) in the world is selected for the three dimensional (3D) analyses. 3D finite difference model of Ilısu dam is modelled using FLAC3D software based on the finite difference method. Two different special creep material models are considered in the numerical analyses. Wipp-creep viscoplastic material model and burger-creep viscoplastic material model were rarely used for the creep analyses of CFRDs in the last are taken into account for the concrete slab and rockfill materials-foundation, respectively. Moreover, interface elements are defined between the concrete slab-rockfill materials and rockfill materials-foundation to provide interaction condition for 3D model. Firstly, dam and foundation are collapsed under its self-weight and static behaviour of the dam is evaluated for the empty reservoir conditions. Then, reservoir water is modelled considering maximum water level of the dam and time-dependent creep analyses are performed for maximum reservoir condition. In this paper, maximum principal stresses, vertical-horizontal displacements and pore pressures that may occur on the dam body surface during 30 years (from 2017 to 2047) are evaluated in detail. According to numerical analyses, empty and maximum reservoir conditions of Ilısu dam are compared with each other in detail. 4 various nodal points are selected under the concrete slab to better seen viscoplastic behaviour changes of the dam and viscoplastic behaviour differences of these points during 30 years are graphically presented. It is clearly seen that horizontal-vertical displacements and principal stresses for maximum reservoir condition are more than the empty reservoir condition of the dam and significant pore pressures are observed during 30 years for maximum reservoir condition. In addition, horizontal-vertical displacements, principal stresses and pore pressures for 4 nodal points obviously increased until a certain time and changes decreased after this time.

자동차 전장 커넥터 방수시일 단면의 최적설계 (Optimization Design of a Waterproof Seal Cross-Section of Automotive Electrical Connectors)

  • 강규태;이채은;김호경
    • Tribology and Lubricants
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    • 제37권6호
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    • pp.224-231
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    • 2021
  • Recently, the waterproofing performance of high-voltage connectors in automotive vehicles has attracted increased interest. In this study, an optimal cross-sectional shape was derived to obtain uniform contact pressure and strain by considering stress relaxation problems caused by initial tension when mounting a seal. A high strain of 52.1 was distributed in the round region, owing to excessive initial tension. The finite element method (FEM) analysis indicated that the strain corresponding to the optimal initial tensile was 11. We adopted six design factors to optimize the seal cross-section and three factors as the main design factors. An orthogonal arrangement table was prepared using Minitab. FEM analyses of 16 study models were conducted to determine the optimized model. The contact pressure of the optimization model is the most evenly distributed while satisfying the waterproof performance of 0.47 MPa. Compared to the initial model, the difference in strain decreases from 35.5% to 19.6%. Finally, the derived cross-sectional shape can reduce the strain of the round region by 33.8% and the differences in the contact pressure at the upper and lower surfaces by 42% and 76%, respectively.

화재 시 중공슬래브의 온도분포 예측을 위한 1방향 열전달 모델 (One-Dimensional Heat Transfer Model to Predict Temperature Distribution in Voided slabs subjected to fire)

  • 정주홍;최현기
    • 한국구조물진단유지관리공학회 논문집
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    • 제23권5호
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    • pp.60-67
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    • 2019
  • 일반적으로 철근콘크리트 슬래브는 콘크리트 재료의 열적특성에 의해 높은 수준의 화재 저항 성능을 보유하고 있는 것으로 알려져 있다. 그러나 기존연구에 따르면 중공슬래브의 열적거동은 일반 슬래브와 상이한 것으로 보고되고 있으며, 이는 중공슬래브 내부에 형성된 공기층 때문인 것으로 판단된다. 따라서 슬래브 내부의 공기층을 고려하지 못하는 기존의 방법을 통해서 화재 시 중공슬래브의 내부온도를 추정하는 것은 어려울 것으로 판단된다. 본 연구에서는 화재 시 중공슬래브의 내부온도 분포를 산정하기 위한 수치해석 모델을 제안하고 이를 평가하였다. 기본적으로 화재 시 슬래브의 열전달은 전도, 대류, 복사 등을 통해 발생하며, 이를 기반으로 시간에 따른 슬래브 내부 단면 온도분포를 산정하게 된다. 이에 본 연구에서는 슬래브를 유한개의 층으로 분할하여 각 층의 온도를 산정하는 유한차분법을 도입한 중공슬래브의 수치해석적 모델을 개발하였으며, 슬래브 내부 공기층에서의 대류 및 복사에 의한 열전달 경로를 고려할 수 있도록 개발하였다. 또한 제안된 모델을 실험결과와의 비교를 통해 검증하였으며, 그 결과 제안된 모델은 화재 시 중공슬래브의 온도변화를 적절히 예측하고 있는 것으로 나타났다.

불포화 강도 유실에 의한 지반함몰 현상의 모형 실험 재현 및 일반 보간 재료점법을 활용한 수치적 모사 (Model Tests and GIMP (Generalized Interpolation Material Point Method) Simulations of Ground Cave-ins by Strength Reduction due to Saturation)

  • 이민호;우상인;정충기
    • 한국지반공학회논문집
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    • 제33권12호
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    • pp.93-105
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    • 2017
  • 본 연구에서는 하수관 손상에 의한 지반함몰 발생 과정에서 지반의 포화도 상승에 따른 흙의 불포화 강도 저하의 영향을 파악하기 위하여, 직접 전단 실험, 모형 실험, 그리고 수치해석을 수행하였다. 직접 전단 시험 결과, 흙의 마찰각은 포화도의 영향을 크게 받지 않으나, 점착력은 포화도의 영향을 크게 받음을 알 수 있다. 포화도 상승에 따른 강도저하의 영향만을 고려하기 위하여, 물의 침투효과를 배제한 모형 실험을 실시하여 지반 함몰 현상을 재현하였다. 지반 함몰은 대변위를 동반하며, 기존 유한요소법의 적용이 어렵다. 본 연구에서는 대변위 해석 기법인 일반 보간 재료점법을 사용하여 수행한 모형실험을 수치적으로 모사하였다. 비록 경계 조건 차이, 불완전 포화, 손상부 연결관의 폐색등에 의해 함몰 시간 등에는 차이가 있었지만, 유사한 토체의 변형 거동이 모형 실험과 수치해석에서 발견되었다.

비축대칭 하중을 받는 원통형 쉘의 단순화 해석 (A Simple Analysis of the Cylindrical Shell Subjected to a Nonaxisymmetric Load)

  • 남문희;이관희
    • 한국전산구조공학회논문집
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    • 제13권2호
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    • pp.179-187
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    • 2000
  • 비축대칭 하중을 받는 축대칭 쉘의 해석시 구조의 축대칭성을 고려하면 시간과 노력을 절약할 수 있다. 하중과 변위에 대하여 원주방향으로 Fourier 급수전개를 고려함으로서 비축대칭하중을 받는 축대칭 쉘의 해석은 뼈대요소처럼 취급할 수 있다. 본 논문에서는 Fourier 급수전개를 이용한 통상의 유한요소법에 의하여 비축대칭 하중을 받는 원형탱크의 강성행렬을 유도하고, 이 강성행렬을 행렬의 조작에 의해 전달행렬로 전환하여 전달행렬법을 적용하였다. 이 논문은 비축대칭하중을 받는 축대칭 쉘의 해석을 위한 연립방정식의 수를 최소화하는데 그 목적이 있다. 제안된 방법에 의한 풍하중과 물하중을 받는 원형탱크의 해석결과는 타 방법에 의한 해석결과와 잘 일치하고 있다.

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암반층에서 쉴드 TBM 터널 세그먼트의 작용하중 산정방법에 관한 연구 (A Study on Earth Pressure Calculating Method about Shield TBM Tunnel Segments in the Rock)

  • 천병식;기정서;강태희;곽윤형;변요셉
    • 한국지반환경공학회 논문집
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    • 제15권5호
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    • pp.13-21
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    • 2014
  • 본 연구에서는 쉴드 TBM 공법의 다양한 세그먼트 모델링 기법에 따른 비교 해석을 통하여 해석기법에 따른 차이를 분석하고 이에 따른 합리적인 모델링 기법을 제안하였다. 또한 암반 이완하중 산정모델에 따른 하중 분석 및 3차원 유한요소해석을 통하여 실제 현장에서 적용 가능한 합리적인 하중산정 방법을 제시하였다. 암반분류에 의한 이완영역의 산정방법은 암반등급이 높은 지반에서는 결과의 차이가 크지 않으나 지반등급이 낮은 지반에서는 그 차이가 매우 크게 나타났으며, 3차원 해석에 의한 이완영역 산정결과 지반등급이 낮은 지반의 이완영역은 각 방법의 중간 정도 범위에 위치할 것으로 예측되었으며 지반등급이 낮은 지반의 세그먼트 계획 시에는 기계식 터널 굴착 특성을 반영한 3차원 해석을 통한 이완영역의 산정을 적극 검토할 필요가 있다.

목재 섬유판의 음향방출 위치표정과 재료 특성 평가 (Acoustic Emission Source Location and Material Characterization Evaluation of Fiberboards)

  • 노승남;박익근;서성원;김용권
    • 한국공작기계학회논문집
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    • 제14권3호
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    • pp.96-102
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    • 2005
  • Acoustic Emission(AE) technique has been applied to not only material characterization evaluation but also on-line monitoring of the structural integrity. The AE source location technique is very important to identify the source, such as crack, leak detection. Since the AE waveforms obtained from sensors are very difficult to distinguish the defect signals, therefore, it is necessary to consider the signal analysis of the transient wave-form. In this study, we have divided the region of interest into a set finite elements, and calculated the arrival time differences between sensors by using the velocities at every degree from 0 to 90. A new technique for the source location of acoustic emission in fiberboard plates has been studied by introducing Wavelet Transform(WT) do-noising technique. WT is a powerful tool for processing transient signals with temporally varying spectra. If the WT de-noising was employed, we could successfully filter out the errors of source location in fiberboard plates by arrival time difference method. The accuracy of source location appeared to be significantly improved.

DIFFUSION PIECEWISE HOMOGENIZATION VIA FLUX DISCONTINUITY RATIOS

  • Sanchez, Richard;Dante, Giorgio;Zmijarevic, Igor
    • Nuclear Engineering and Technology
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    • 제45권6호
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    • pp.707-720
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    • 2013
  • We analyze piecewise homogenization with flux-weighted cross sections and preservation of averaged currents at the boundary of the homogenized domain. Introduction of a set of flux discontinuity ratios (FDR) that preserve reference interface currents leads to preservation of averaged region reaction rates and fluxes. We consider the class of numerical discretizations with one degree of freedom per volume and per surface and prove that when the homogenization and computing meshes are equal there is a unique solution for the FDRs which exactly preserve interface currents. For diffusion submeshing we introduce a Jacobian-Free Newton-Krylov method and for all cases considered obtain an 'exact' numerical solution (eight digits for the interface currents). The homogenization is completed by extending the familiar full assembly homogenization via flux discontinuity factors to the sides of regions laying on the boundary of the piecewise homogenized domain. Finally, for the familiar nodal discretization we numerically find that the FDRs obtained with no submesh (nearly at no cost) can be effectively used for whole-core diffusion calculations with submesh. This is not the case, however, for cell-centered finite differences.