• Title/Summary/Keyword: 체적변형

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Buckling Loads and Post-Buckling Behaviors of Shear Deformable Columns with Regular Cross-Section (전단변형을 고려한 정다각형 단면 기둥의 좌굴하중 및 후좌굴 거동)

  • Lee, Byeoung Koo;Lee, Tae Eun;Kwon, Yun Sil;Kim, Sun Gi
    • Journal of Korean Society of Steel Construction
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    • v.13 no.6
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    • pp.683-691
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    • 2001
  • Numerical methods are developed for solving the elastica and buckling load of tapered columns with shear deformation, subjected to a compressive end load. The linear, parabolic and sinusoidal tapers with the regular polygon cross-sections are considered, whose material volume and span length are always held constant. The differential equations governing the elastica of buckled column are derived. The Runge-Kutta method is used to integrate the differential equations, and the Regula-Falsi method is used to determine the rotation at left end and the buckling load, respectively. The numerical methods developed herein for computing the elastica and the buckling loads of the columns are found to be efficient and reliable.

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Numerical investigation on the effect of backfill grouting on ground behavior during shield TBM tunneling in sandy ground (사질토 지반을 통과하는 쉴드 TBM에서 뒤채움 그라우팅이 지반 거동에 미치는 영향에 대한 수치해석적 연구)

  • Oh, Ju-Young;Park, Hyunku;Chang, Seokbue;Choi, Hangseok
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.20 no.2
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    • pp.375-392
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    • 2018
  • The shield TBM method is widely adopted for tunneling works in urban area because it has more beneficial ways to control settlement at ground surface than conventional mined tunneling. In the shield tunneling, backfill grouting at tail void is crucial because it is supposed not only to restraint ground deformation around tail void during excavation but also to compensate precedent ground settlement by pushing up the ground with highly pressurized grout. However, the tail void grouting has been found to be ineffective for settlement compensation particularly in sandy ground, which might be caused by complicate interaction between ground and tail void grouting. In this paper, the effects of tail void grouting on behavior of ground in shield TBM tunneling were investigated based on 3-dimensional finite element analyses. The results of numerical analyses indicated that backfill grouting actually reduces settlement by degrading settlement increasing rate in excavation, which means decrease of volume loss. Meanwhile, the grouting could not contribute to compensate the precedent settlement, because reduction of volume loss by grouting was found to be counterbalanced by volume change of ground.

A Finite Element Simulation of Cancellous Bone Remodeling Based on Volumetric Strain (스폰지 뼈의 Remodeling 예측을 위한 체적 변형률을 이용한 유한요소 알고리즘)

  • Kim, Young;Vanderby, Ray
    • Journal of Biomedical Engineering Research
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    • v.21 no.4
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    • pp.373-384
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    • 2000
  • The goal of this paper is to develop a computational method to predict cancellous bone density distributions based upon continuum levels of volumetric strain. Volumetric strain is defined as the summation of normal strains, excluding shear strains, within an elastic range of loadings. Volumetric strain at a particular location in a cancellous structure changes with changes of the boundary conditions (prescribed displacements, tractions, and pressure). This change in the volumetric strain is postulated to predict the adaptive change in the bone apparent density. This bone remodeling theory based on volumetric strain is then used with the finite element method to compute the apparent density distribution for cancellous bone in both lumbar spine and proximal femur using an iterative algorithm, considering the dead zone of strain stimuli. The apparent density distribution of cancellous bone predicted by this method has the same pattern as experimental data reported in the literature (Wolff 1892, Keller et al. 1989, Cody et al. 1992). The resulting bone apparent density distributions predict Young's modulus and strength distributions throughout cancellous bone in agreement with the literature (Keller et al. 1989, Carter and Hayes 1977). The method was convergent and sensitive to changes in boundary conditions. Therefore, the computational algorithm of the present study appears to be a useful approach to predict the apparent density distribution of cancellous bone (i.e. a numerical approximation for Wolff's Law)

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A Prediction of the Behavior in Normally Consolidated Clay with Application of Isotropic Single Hardening Constitutive Model (등방단일경화구성모델에 의한 정규압밀점토의 거동 예측)

  • 홍원표;남정만
    • Geotechnical Engineering
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    • v.12 no.2
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    • pp.9-18
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    • 1996
  • The results of a series of triaxial compression tests on remolded normally consolidated clay are compared with the predictions .by the isotropic single -hardening constitutive model, which incorporates eleven parameters. The parameters can be determined from undrained triaxial compression tests on isotropically consolidated specimens of remolded clay. The model with the determined parameters is applied to predict the stress-strain and pore pressure behaviors for untrained triaxial compresion tests on anisotropically consolidated specimens. Also the model is utilized to predict the stress strain and voltmetric strain behavior for drained triaxial compression tests on both isotropic and anisotropic specimens. The predicted response agrees well with the measured behavior for undrained triaxial compression tests on not only isotropically but also anisotroically but also anisotropically consolidated specimens. The initial volumetric strain is, however, predicted to be less than the measured value from drained triaxial compression tests, while the predicted volumetric strain close to failure is greater than the measured value. Nevertheless, it may be stated generally that overall acceptable predictions are produced. Therefore, the results of this study indicate that the applicability of the model on prediction of the behavior of normally consolidated clay is achieved sufficiently.

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Homogenization of Elastic Cracks in Hoek-Brown Rock (Hoek-Brown 암석에서 발생된 탄성균열의 균질화)

  • Lee, Youn-Kyou;Jeon, Seok-Won
    • Tunnel and Underground Space
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    • v.19 no.2
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    • pp.158-166
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    • 2009
  • As a basic study for investigating the development of the stress-induced crack in Hoek-Brown rock, a homogenization technique of elastic cracks is proposed. The onset of crack is monitored by Hoek-Brown empirical criterion, while the orientation of the crack is determined by the critical plane approach. The concept of volume averaging in stress and strain component was invoked to homogenize the representative rock volume which consists of intact rock and cracks. The formulation results in the constitutive relations for the homogenized equivalent anisotropic material. The homogenization model was implemented in the standard FEM code COSMOSM. The numerical uniaxial tests were performed under plane strain condition to check the validity of the propose numerical model. The effect of friction between the loading plate and the rock sample on the mode of deformation and fracturing was examined by assuming two different contact conditions. The numerical simulation revealed that the homogenized model is able to capture the salient features of deformation and fracturing which are observed commonly in the uniaxial compression test.

An Advection Scheme for the Transport of Fractional Volume of an Incompressible Fluid (비압축성 유체의 체적비 수송에 대한 대류항 계산 기법)

  • Kwak Ho Sang;Kuwahara Kunio
    • Journal of computational fluids engineering
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    • v.3 no.1
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    • pp.1-10
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    • 1998
  • 서로 섞이지 않는 두 비압축성 유체의 유동을 해석하기 위하여 VOF 방법에 기초한 수치 기법을 개발하였다. 유체간의 계면형상의 거동은 유동장내의 유체의 점유체적비의 변화에 의해 묘사되는데 이를 지배하는 이동방정식을 풀기 위한 새로운 대류항 계산법을 고안하였다. 대류항은 유체계면의 방향에 따라 풍상법과 역풍상법의 적절한 조합을 취하여 계산하는데 여기에 대각방향의 상류효과를 포함시켜 시간에 대한 2차 정확도를 갖도록 하였다. 또한 이 방법을 유량보정수송(FCT)법과 결합시켜 해의 단조성을 보장하였다. 몇 가지 단순 문제에 대한 시험 결과 이 기법이 수치오차에 의한 계면형상의 변형과 파손을 감소시킴을 확인하였다.

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Body Force Distribution in Permanent Magnet Motors (영구자석 전동기에서의 체적력 분포 관찰)

  • Choi, Hong-Soon;Kim, Young-Sun;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 2006.07b
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    • pp.659-660
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    • 2006
  • 전기기기에서의 전자기력 계산은 기기의 성능뿐 아니라 기계적 변형, 진동을 예측하는 주요 파라미터이다. 지금까지는 Maxwell stress tensor법이나 자하법, 가상변위법등에 의해 전체 전자기력 또는 토크를 계산하여 왔으나, 이 방법들은 모두 분포 전자기력을 계산할 수 없었다. 본 논문에서는 기기 내부의 체적 전자기력분포를 계산하는 방법을 제시하고, 그 예로써 영구자석형 전동기의 전자기력 분포를 보여준다. 체적력의 계산은 저자에 의해 제안 된 가상공극법에 기반하여 구현할 수 있다.

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Studies on Elastic Deformation by X-ray Stress Measuremtnt of WC-Co Alloy (WC-Co합금의 X선 응력측정에 의한 탄성변형거동의 연구)

  • 부명환;오세욱;광조신
    • Journal of Ocean Engineering and Technology
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    • v.8 no.2
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    • pp.105-114
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    • 1994
  • 초경합금은 기계적 성질이 다른 WC의 분상상과 Co의 결합상으로 구성되어 있다. 만일 이합금이 거시적으로 균일하게 변형을 하면, 각 상들은 이들의 응력상태에 따라 다르게 변형될 것이다. 따라서 WC-Co 합금의 변형특성과 강화기구를 명확히 알기 위해서는 각상의 미시적 변형과 파괴기구를 검토할 필요가 있다. 본 연구에서는 시편에 굽힘하중을 가하여, X선 회절로 분산상인 WC상 및 결합상인 Co상의 X선적 탄성정수와 응력정수를 측정하였다. WC-Co합금중의 WC상과 Co상의 상응력은 WC(112)면과 CO(311)면의 회절로서 결정하였다. 그리고 이 상응력들을 복합법칙의 적용가능성에 대하여 검토하였다.

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분말단조 해석을 위한 다공질 합금강 프리폼의 고온 업셋

  • Kim, Gi-Tae;Jo, Yun-Ho
    • Transactions of Materials Processing
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    • v.1 no.2
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    • pp.14-19
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    • 1992
  • 분말단조 공정의 해석을 위한 기초연구로서 고용 업셋에 의한 다공질 합금강 프리폼의 치밀화와 소성 변형거동에 관하여 조사하였다. 다공질 프리폼의 소성 유동응력은 용도의 상승에 떠라 감소하였고, 변형속도의 증가에 따라 증가함을 보였다. 또한, 다공질 프리폼의 초기밀도가 더 높을수록 동일한 온도와 하중조건에서 더 높은 치밀화를 보였다. 또한, 밀도변화에 따른 프와송 비를 실험치로 부터 구하였고, 배불림 현상과 체적변화를 고려하여 온도에 따른 진응력-진변형률 관계를 구하였다.

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The Effect of Fiber Volume Fraction Non-uniformity in Thickness Direction on the Buckling Load of Cylindrical Composite Lattice Structures (두께 방향 섬유체적비 불균일이 원통형 복합재 격자 구조 좌굴하중에 미치는 영향)

  • Kong, Seung-Taek;Jeon, Min-Hyeok;Kim, In-Gul;Lee, Sang-Woo
    • Composites Research
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    • v.34 no.2
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    • pp.129-135
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    • 2021
  • In this paper, in order to examine the effect of fiber volume fraction non-uniformity in thickness direction on the buckling load of cylindrical composite lattice structures, we modified the equation of buckling load of the cylindrical composite lattice structures proposed by Vasiliev. The thickness of each layer of the rib was varied by fiber volume fraction, and material properties were applied differently by using the rule of mixture. Also, we performed linear buckling analysis by varying the structure size, thickness, and average value of the fiber volume fraction of finite element model. Finally, by comparing the calculation results of the buckling load of the equivalent model using the modified buckling load equation and the results of the finite element analysis, we found that the fiber volume fraction non-uniformity in thickness direction can reduce the buckling load of the cylindrical composite lattice structure.