• Title/Summary/Keyword: finite differences method

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

  • Lee, YongKyung;Yoo, OuiSik;Kim, JaeWon;Lim, Dohyung;Jung, TaeGon;Kim, JungSung
    • Journal of Biomedical Engineering Research
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    • v.37 no.6
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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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    • v.11 no.6
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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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    • v.17 no.2
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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.

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

  • Kang, KyuTae;Lee, ChaeEun;Kim, HoKyung
    • Tribology and Lubricants
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    • v.37 no.6
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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.

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

  • Chung, Joo-Hong;Choi, Hyun-Ki
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.23 no.5
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    • pp.60-67
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    • 2019
  • In general, a reinforced concrete slabs are known to have a high fire resistance performance due to thermal properties of concrete materials. However, according to previous research, the thermal behavior of voided slabs is reported to be different from that of conventional RC solid slabs, and the differences seem to be caused by the air layer formed inside the voided slab. Therefore, it is difficult to estimate the temperature distribution of the voided slab under fire by using the existing methods that do not take into account the air layer inside the voided slab. In this study, a numerical analysis model was proposed to estimate the temperature distribution of voided slabs under fire, and evaluated. Heat transfer of slabs under fire is generally caused by conduction, convection and radiation, and time-dependent temperature changes of slab can be determined considering these phenomena. This study proposed a numerical method to estimate the temperature distribution of voided slabs under fire based on a finite difference method in which a cross-section of the slab is divided into a number of layers. This method is also developed to allow consideration of heat transfer through convection and radiation in air layer inside of slabs. In addition, the proposed model was also validated by comparison with the experimental results, and the results showed that the proposed model appropriately predicts the temperature distribution of voided slabs under fire.

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

  • Lee, Minho;Woo, Sang Inn;Chung, Choong-Ki
    • Journal of the Korean Geotechnical Society
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    • v.33 no.12
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    • pp.93-105
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    • 2017
  • This study presents direct shear tests, model tests, and numerical simulations to assess the effect of reduction of soil strength because of saturation during formation of ground cave-in caused by damaged sewer pipe lines. The direct shear test results show that the saturation affects the cohesion of soil significantly although it does not influence the friction angle of soil. To experimentally reproduce ground cave-in, the model tests were performed. As ground cave-ins were accompanied with extreme deformation, conventional finite element method has difficulty in simulating them. The present study relies on generalized interpolation material point method, which is one of meshless methods. Although there are differences between the model test and numerical simulation caused by boundary conditions, incomplete saturation, and exclusion of groundwater flow, similar ground deformation characteristics are observed both in the model test and numerical simulation.

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

  • 남문희;이관희
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.179-187
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    • 2000
  • When one considers the property of the axisymmetry, an analysis of an axisymmetric shell subjected to unaxisymmetric loading can be employed to save time and computer memory space. If one considers the Fourier series of the circumference direction of loads and displacements, an axisymmetric tank subjected to a nonaxisymmetric load can be treated as a frame element. Using the Fourier series, the authors derived the stiffness matrix of the cylindrical shell subjected to unaxisymmetric loading by the usual finite element method, and converted the stiffness matrix of a frame element into a transfer matrix by rearranging the stiffness matrix to apply the transfer matrix method. Here the most significant purpose of this paper is to achieve the fewest number of simultaneous equations for analysing an axisymmetric shell subjected to a nonaxisymmetric load. The results of the proposed method of the analysis of the cylindrical shell subjected to a wind load and a water load show no differences when compared to the other methods.

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

  • Chun, Byungsik;Ki, Jungsu;Kang, Taehee;Kwag, Yunehyeong;Byun, Yoseph
    • Journal of the Korean GEO-environmental Society
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    • v.15 no.5
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    • pp.13-21
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    • 2014
  • This study analyzed the differences in the analysis techniques through a comparative analysis of the various segment's modeling techniques of Shield TBM method and proposed reasonable modeling techniques. Also, this study suggested reasonable estimating methods of load to be applicable in the field through the load analysis and three-dimensional finite element analysis by estimating model of rock mass relaxation load. Estimating method of relaxation area by rock mass rating makes no odds of output in subgrade with high rock mass rating, but so the difference of output is large, that is judged to set conservative design off. In estimating result of rock mass relaxation area by three-dimensional analysis relaxation area of subgrade with low-grade soil was predicted to be positioned at medium-range of many methods, in case of designing segment in subgrade with low-grade soil it needs to actively review estimation of relaxation area through three-dimensional analysis reflecting mechanical tunnel excavation.

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

  • Ro Sing-Nam;Park Ik-Keum;Sen Seong-Won;Kim Yong-Kwon
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.3
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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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    • v.45 no.6
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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.