• Title/Summary/Keyword: 소성반경

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Application of Slip-line Method to the Evaluation of Plastic Zone around a Circular Tunnel (원형터널 주변의 소성영역 평가를 위한 slip-line 해석법 활용)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.32 no.5
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    • pp.312-326
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    • 2022
  • The generalized Hoek-Brown (GHB) criterion, which is recognized as one of the standard failure conditions for rock mass, is specialized for rock engineering applications and covers a wide range of rock mass conditions. Accordingly, many research efforts have been devoted to the incorporation of this criterion into the stability analysis of rock structures. In this study, the slip-line analysis method, which is a kind of elastoplastic analysis method, is combined with the GHB failure criterion to derive analytical equations that can easily calculate the plastic radius and stress distribution in the vicinity of the circular tunnel. In the process of derivation of related formulas, it is assumed that the behavior of rock mass after failure is perfectly plastic and the in-situ stress condition is hydrostatic. In the formulation, it is revealed that the plastic radius can be calculated analytically using the two respective tangential friction angles corresponding to the stress conditions at tunnel wall and elastic-plastic boundary. It is also shown that the plastic radius and stress distribution calculated using the derived analytical equations coincide with the results of Lee & Pietruszczak's numerical method published in 2008. In the latter part of this paper, the influence of the quality of the rock mass on the size of the plastic zone, the stress distribution, and the change of the tangential friction angle was investigated using the derived analytical equations.

The influence of punch and die shape radius in non-axisymmetric deep drawing products (비축대칭 디프 드로잉 제품에서 펀치 및 다이형상반경의 영향)

  • 박동환
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03a
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    • pp.22-25
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    • 1999
  • 'There are a lot of process variables, exerted influence on the formability of products, in deep drawing process. Particularly, it is important that the punch and die shape radius of the process variables. Though researches have been performed on the deep drawing of sheet metal forming, like this study, but it is insufficient the actual circumstances that researches for process variables of the non-axisymmetric deep drawing products. In this study, An effect on thickness distribution is grasped as alteration of the punch and die shape radius in the process of non-axisyrnmetric deep drawing products, and then the optimal punch and die shape radius were presented, they were verified by the numerical analysis method (FEM).

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유동성형에서의 연소관 예비성형체 두께별 소성변형 형태

  • 윤수진;이경훈;은일상
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1997.04a
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    • pp.163-178
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    • 1997
  • 현재 각종 미사일의 추진기관용 연소관을 제작하는데 광범위하게 이용되고 있는 유동성 형공정에 대하여 강소성 구성방정식을 이용 유한요소해석을 수행하였다. 종전의 단일 롤러에 의한 해석과는 달리 3개의 롤러에 의한 연소관의 점진 소성변형을 고려하였으며. 이에 따른 각 룰러의 연소관에 대한 소성변형, 응력분포가 관찰, 분석되었다. 해석 결과 예비성형체의 두께에 따라 소성변형 형태와 그에 따르는 응력분포에 많은 차이가 나는 것으로 밝혀졌다. 또 이상적인 유동성형 공정조건하에서 반경 방향으로의 연소관의 유효 소성변형도는 거의 균일하게 나타났다.

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Two-Dimensional Finite Element Analysis of Hot Radial Forging (열간반경단조의 2차원 유한요소해석)

  • 박치용;조종래;양동열
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1166-1180
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    • 1990
  • The study is concerned with the two-dimensional thermo-viscoplastic finite element analysis for radial forging as an incremental forging process. The deformation and temperature distribution of the workpiece during radial forging are studied. The analysis of deformation and the analysis of heat transfer are carried out for simple upsetting of cylinder by decoupling the above two analyses. A method of treatment for heat transfer through the contact region between the die and the workpiece is suggested, in which remeshing of the die elements is not necessary. Radial forging of a mild steel cylinder at the elevated temperature is subjected to the decoupled finite element analysis as well as to the experiment. The computed results in deformation, load and temperature distribution are found to be in good agreement with the experimental observations. As an example of viscoplastic decoupled analysis of hot radial forging, forging of a square section into a circular section is treated. The stresses, strains, strain rates and temperature distribution are computed by superposing material properties as the workpiece is rotated and forged incrementally. It was been thus shown that proposed method of analysis can be effectively applied to the hot radial forging processes.

A Study on Improvement of Formability for Deep Drawing Process (디프 드로잉 공정의 성형성 향상에 관한 연구)

  • 최병근
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.70-76
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    • 1999
  • Recently most of researches for deep drawing process using sheet metal have been performed on the formability of axisymmetric shape but there have not been any concrete reports on the formability of non-axisymmetric shape In addition the conventional shape radius of the punch and die has been determined by the trying-and-error using industrial experimence and post processing test and only approximate shape radius of the punch and die has been determined by the trying-and-error using industrial experience and post processing test and only approximate shape radius of the punch and die has been present So in this study the optimal shape radius of the punch and die in deep drawing process with biaxisymmetric blank shape would be proposed. Through the deep drawing experiment it is found that in order to obtain the optimal products especially shape radius of the punch and die in all processes is very important.

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Estimation of elastic and plastic zones near a tunnel considering in situ rock mass conditions and the damage induced by excavation (원지반의 암반조건과 시공으로 인한 손상을 고려한 터널주변 탄·소성영역의 산정)

  • Sagong, Myung;Paik, Kyuho
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.6 no.3
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    • pp.227-235
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    • 2004
  • Tunneling in rock mass produces two types of damages in the vicinity of a tunnel: structural and constructional damages. Structural damage represents the damage induced by the unbalance of geostatic stress caused by the tunneling, and constructional damage is the damage produced during the construction. In this study, formulations of tangential and radial stresses in the elastic and plastic zones near a tunnel, and the calculation of radius of plastic zone surrounding a tunnel are introduced by modifying the Hoek-Brown criterion of 2002 edition, which has capability of considering in situ rock mass characteristics and construction damage. From the parametric study, influences of rock mass quality, uniaxial compressive strength of intact rock, and the dimension of the tunnel on the plastic zone are investigated. The accuracy of the proposed approach is evaluated by comparing with results from the previous study.

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Determination of radius of edge round cut of loading head for deformation strength test (변형강도 시험용 하중봉의 원형절삭반경 선정연구)

  • Park, Tae-W.;Doh, Young-S.;Kim, Kwang-W.
    • International Journal of Highway Engineering
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    • v.10 no.2
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    • pp.183-191
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    • 2008
  • This study evaluated influence of the loading head dimension on characteristics of deformation strength ($S_D$) of asphalt mixtures. Kim test and Wheel tracking (WT) test were conducted to evaluate $S_D$ characteristics with relation to WT results for various mixtures. The $S_D$ values and coefficient of variation of $S_D$ values of r=10mm were smaller than those of r=10.5mm. It was also found that $S_D$ values obtained using r=10mm loading head showed high correlations with rut parameters of WT test. It was indicated that the aggregate size and radius (r) of round cut were statistically significant variables on $S_D$ at = 0.05 level in the analysis of variance. However, in interaction of r and aggregate size showed no significance within $10{\sim}19mm$ aggregate size at the same level. Therefore, it was concluded that the diameter (D) of 40mm and the bottom edge radius (r) of 10mm was suitable dimension of loading head for deformation strength test.

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Excess Pore Pressure Induced by Cone Penetration in OC Clay (콘관입으로 인한 과압밀점토의 과잉간극수압의 분포)

  • Kim, Tai-Jun;Kim, Sang-In;Lee, Woo-Jin
    • Journal of the Korean Geotechnical Society
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    • v.22 no.11
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    • pp.75-87
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    • 2006
  • A series of calibration chamber tests are performed to investigate the spatial distribution of the excess porewater pressure due to piezocone penetration into overconsolidated clays. It was observed that the excess porewater pressure increases monotonically from the piezocone surface to the outer boundary of the shear zone and then decreases logarithmically, approaching zero at the outer boundary of the plastic zone. It was also found that the size of the shear zone decreases from approximately 2.2 to 1.5 times the cone radius with increasing OCR, while the plastic radius is about 11 times the piezocone radius, regardless of the OCR. Based on the modified Cam clay model and the cylindrical cavity expansion theory, the expressions to predict the Initial porewater pressure at the piezocone were developed, considering the effects of the strain rate and stress anisotropy. The method of predicting the spatial distribution of excess porewater pressure proposed in this study was verified by comparing it with the porewater pressure measured in overconsolidated specimens in the calibration chamber.

Thermo-viscoplastic finite element analysis of orthogonal metal cutting considered tool edge radius (공구끝단반경이 고려된 2차원 금속절삭에 대한 열-점소성 유한요소해석)

  • Kim, Kug-Weon;Lee, Woo-Young;Sin, Hyo-Chol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.1-15
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    • 1998
  • In this paper, thermo-viscoplastic finite element analysis of the effect of tool edge radius on cutting process are performed. The thermo-viscoplastic cutting model is capable of dealing with free chip geometry and chip-tool contact length. The coupling with thermal effects is also considered. Orthogonal cutting experiments are performed for 0.2% carbon steel with tools having 3 different edge radii and the tool forces are measured. The experimental results are discussed in comparison with the results of the FEM analysis. From the study, we confirm that this cutting model can well be applied to the cutting process considered the tool edge radius and that a major causes of the "size effect" is the tool edge radius. With numerical analysis, the effects of the tool edge radius on the stress distributions in workpiece, the temperature distributions in workpiece and tool, and the chip shape are investigated.estigated.

Analysis of Apparatus Variables for Deformation Strength Test of Asphalt Concrete Based on Correlation with Rutting and Prediction Model for Rutting (소성변형과의 상관성 및 추정모델을 통한 변형강도 시험장치 변수 분석)

  • Kim, Kwang-Woo;Lee, Moon-Sup;Kim, Sung-Tae;Lee, Soon-Jae
    • International Journal of Highway Engineering
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    • v.4 no.4 s.14
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    • pp.41-52
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    • 2002
  • This study dealt with analysis of size effect of testing apparatus for Kim test which measures rut resistance characteristics of asphalt mixture under static loading. Two columns in different diameter with each column having different radios of round cut (Curvature) at the bottom were used for testing asphalt mixture. Deformation load ($P_{max}$) and deformation strength ($K_D$) were found to have relatively high correlation with rut depth and dynamic stability of asphalt concrete. Diameter of specimen was not a significant factor in this test. From the statistical correlation analysis with rutting properties, the radius of curvature and diameter of loading column were found to be important factor affecting the results of the test. Among the radios (r) of curvatures, r=0.5cm and 1.0cm showed much higher correlation than the column without curvature, and r=1.0cm being better between the two. The column with diameter of 4cm showed better correlation than diameter of 3cm. Therefore, the column of 4cm diameter with r=1.0cm was found to be the best among various apparatus sizes. Prediction models for rut depth and dynamic stability were developed for each aggregate mixture based on Kim test variables using SAS STEPWISE procedure. Therefore, if this test method is validated through further study, Kim test can be used for selecting asphalt mixture with the highest resistance against permanent deformation.

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