• Title/Summary/Keyword: Intermediate principal stress

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Stability Analysis of Concrete Plugs Using a 3-D Failure Criterion (3차원 파괴조건식을 이용한 콘크리트 플러그의 안전도 평가)

  • Lee, Youn-Kyou;Song, Won-Kyoung;Park, Chul-Whan;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.21 no.6
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    • pp.526-535
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    • 2011
  • A new failure criterion for concrete, which takes into account the effect of the intermediate principal stress, is proposed. The new criterion, which takes the advantages from both the Mohr-Coulomb and the Willam-Warnke criteria, is linear in the meridian section, while its octahedral section is always smooth and convex. Fitting the triaxial compression data with the proposed criterion shows the high performance of the new criterion. A new formula for the factor of safety of concrete is defined based on the new failure criterion and it is employed in the stability analysis of the concrete plugs installed in the pilot plant. The new formula for the factor of safety measures the degree of closeness of a stress state to the failure surface in the octahedral plane. Finally, 3-D finite element analyses of pilot plant were carried out to obtain the stress distributions in the plugs. Then, the stress distributions are converted to those of factor of safety by use of the proposed formula. Based on the distribution of factor of safety in the concrete plugs, the stability of the tapered and wedge-shaped plugs is evaluated.

A Study on Theoretical Analysis for Reinforced Concrete Transfer Girder of Hybrid Structures (복합구조의 철근콘크리트 전이보에 대한 이론적 해석 연구)

  • 권기혁;이춘호;김민수;이한선;고동우
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.623-628
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    • 2000
  • In this paper, the behavior for transfer girder of the upper-wall and lower-frame structures was studied by the nonlinear finite element analysis. It was analyzed and compared with the experimental results. Analysis results showed that failure modes were progressed by a initial diagonal crack in the shear span between the edges of the load and intermediate support plate. The nonlinear finite element analysis could predict deformation, principal stress, ultimate load and concrete crack. Also analysis results showed good agreement the test results.

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Comparative Study on the Rock Failure Criteria Taking Account of the Intermediate Principal Stress (중간주응력을 고려한 선형 및 비선형 암석파괴조건식의 비교 고찰)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.22 no.1
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    • pp.12-21
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    • 2012
  • Although the Mohr-Coulomb and Hoek-Brown failure criteria have been adopted widely in rock mechanics, they neglect the ${\sigma}_2$ effect. The result of true triaxial tests on rock samples, however, reveals that the ${\sigma}_2$ effect on strength of rocks is considerable, so that rock failure criteria taking into account the influence of ${\sigma}_2$ are necessary for the precise stability evaluation of rock structures. In this study, a new nonlinear 3-D failure criterion has been suggested by combining the Hoek-Brown criterion with the smooth octahedral shape function taken from Jiang & Pietruszczak (1988). The performance of the new criterion was assessed by comparing the strength predictions from both the suggested criterion and the corresponding linear 3-D criterion. The resulting fit of the new criterion to the true triaxial test data for six rock types taken from the literature shows that the criterion fits the experimental data very well. Furthermore, for the data sets having data taken in the low ${\sigma}_3$ range, the nonlinear failure criterion works better than the linear criterion.

Influences of seepage force and out-of-plane stress on cavity contracting and tunnel opening

  • Zou, Jin-Feng;Chen, Kai-Fu;Pan, Qiu-Jing
    • Geomechanics and Engineering
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    • v.13 no.6
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    • pp.907-928
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    • 2017
  • The effects of seepage force and out-of-plane stress on cavity contracting and tunnel opening was investigated in this study. The generalized Hoek-Brown (H-B) failure criterion and non-associated flow rule were adopted. Because of the complex solution of pore pressure in an arbitrary direction, only the pore pressure through the radial direction was assumed in this paper. In order to investigate the effect of out-of-plane stress and seepage force on the cavity contraction and circular tunnel opening, three cases of the out-of-plane stress being the minor, intermediate, or major principal stress are assumed separately. A method of plane strain problem is adopted to obtain the stress and strain for cavity contracting and circular tunnel opening for three cases, respectively, that incorporated the effects of seepage force. The proposed solutions were validated by the published results and the correction is verified. Several cases were analyzed, and parameter studies were conducted to highlight the effects of seepage force, H-B constants, and out-of-plane stress on stress, displacement, and plastic radius with the numerical method. The proposed method may be used to address the complex problems of cavity contraction and tunnel opening in rock mass.

Prediction for Stress-Strain Behavior of Remolded Clay using Single Surface Constitutive Model (Single Surface 구성모델을 이용한 재성형 점토의 응력-변형률 거동 예측)

  • 이강일
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.42 no.3
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    • pp.97-106
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    • 2000
  • The study is closely relevant to Lade's single work hardening model. This model has been shown to have good applicability to cohesive soils. However the validation of this model on the clayey soils has not been satisfactorily reported. To scrutinize the applicability of this model on clayey foundation the laboratory tests for Kwangyang clayey soils were performed using the improved cubical triaxial test apparatus designed originally by Lade. A computer program was developed by which soil parameters for the single work-hardening model can be rationally determined by deleting some dispersed test data generated usually at the initial stage of laboratory tests. And using the program numerical analysis of the cubical clayey specimens using intermediate principal stress was carried out and a good agreement between observed values and numerical results was found.

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Assessment of Rock Mass Strength Using Three-Dimensional Numerical Analysis with the Distinct Element Method (개별요소법 기반의 삼차원 수치해석을 통한 절리성 암반의 강도특성 평가)

  • Junbong Bae;Jeong-Gi Um;Hoyoung Jeong
    • The Journal of Engineering Geology
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    • v.33 no.4
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    • pp.573-586
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    • 2023
  • Joints or weak planes can induce anisotropy in the strength and deformability of fractured rock masses. Comprehending this anisotropic behavior is crucial to engineering geology. This study used plaster as a friction material to mold specimens with a single joint. The strength and deformability of the specimens were measured in true triaxial compression tests. The measured results were compared with three-dimensional numerical analysis based on the distinct element method, conducted under identical conditions, to assess the reliability of the modeled values. The numerical results highlight that the principal stress conditions in the field, in conjunction with joint orientations, are crucial factors to the study of the strength and deformability of fractured rock masses. The strength of a transversely isotropic rock mass derived numerically considering changes in the dip angle of the joint notably increases as the intermediate principal stress increases. This increment varies depending on the dip of the joint. Moreover, the interplay between the dip direction of the joint and the two horizontal principal stress directions dictates the strength of the transversely isotropic rock mass. For a rock mass with two joint sets, the set with the steeper dip angle governs the overall strength. If a rock bridge effect occurs owing to the limited continuity of one of the joint sets, the orientation of the set with longer continuity dominates the strength of the entire rock mass. Although conventional three-dimensional failure criteria for fractured rock masses have limited applicability in the field, supplementing them with numerical analysis proves highly beneficial.

A Basic Study on Borehole Breakout under Room Temperature and High Temperature True Triaxial Compression (상온 및 고온 하 진삼축압축실험을 이용한 시추공의 파괴 거동 기초 연구)

  • Yoon, Jeonghwan;Min, Ki-Bok;Park, Eui-Seob;Jung, Yong-Bok
    • Tunnel and Underground Space
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    • v.30 no.6
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    • pp.559-572
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    • 2020
  • This paper performs laboratory experiments for borehole stability considering temperature and true triaxial stress condition, and observes a thermo-mechanical behavior of the rock under stress and temperature conditions of deep underground. China yellow sandstone and Hwangdeung granite specimens were used to perform a true triaxial compression test. Mechanical tests were carried out under nine confining pressure conditions, and thermo-mechanical tests using granite samples were carried out under six confining pressure conditions at 60-100℃. In the mechanical tests, maximum principal stress at borehole breakout was proportional to intermediate principal stress. In the thermo-mechanical tests, it was confirmed that thermal stress is added to the stress field of the borehole with the increase in temperature, resulting in additional breakout progress. To analyze the results of the laboratory experiment, Mogi-Coulomb failure criterion was used. The results of traditional triaxial compression test on cylindrical specimens and borehole breakout under true triaxial compressions matched well with Mogi-Coulomb failure criterion.

An Experimental Study on the Factors that Affect Fatigue Crack Growth Retardation Behavior in S45C Steel (S45C 강의 피로균열전파 지연거동의 영향인자에 관한 실험적 연구)

  • Kim, Seon-Jin;An, Seok-Hwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.3
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    • pp.470-477
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    • 2001
  • Constant ΔK fatigue crack growth tests were performed by applying an intermediate multiple overload for S45C steel. The purpose of the present study is to investigate effects of specimen thickness at various baseline stress intensity factor range levels (ΔK(sub)b), overload application position (a/W) and overload application frequency (OL(sub)HZ) on fatigue crack growth retardation behavior. The principal results are summarized as follows. The amount of retardation for a given ΔK(sub)b level is increased with increasing the baseline stress intensity factor range level for all specimen thickness. The normalized minimum crack growth rate is increased with increasing the specimen thickness, except for ΔK=45MPa√m. The retardation cycle is decreased with increasing a/W and increased with OL(sub)HZ.

An Experimental Study on the Factors that Affect Fatigue Crack Growth Retardation Behavior in SM45C Steel (SM45C 강의 피로균열전파 지연거동에 미치는 영향인자에 관한 실험적 연구)

  • Kim, Seon-Jin;Kim, Jong-Hoon;Ahn, Seok-Hwan
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.55-60
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    • 2000
  • Constant ${\Delta}K$ fatigue crack growth tests were performed applying an intermediate multiple overload for SM45C steel. The purpose of the present study is to investigate the effects of specimen thickness at various baseline stress intensity levels$({\Delta}K_b)$, overload application frequency(a/W) and overload application frequency$(OL_{HZ})$ on fatigue crack growth retardation behavior. The principal results are summarized as follows. The amount of retardation for a given ${\Delta}K_b$ level is increased with increasing the baseline stress intensity level in all specimen thickness. The normalized minimum crack growth rate is increased with increasing the specimen thickness, except for ${\Delta}K=45MPa \sqrt m$. The retardation cycle is decreased with increasing the overload application position and increased with the overload application frequency.

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Three Dimensional Strength Characterisics of Compressible Sand (압축성 모래의 3차원 전단강도 특성)

  • Park, Byeong-Gi;Jeong, Jin-Seop;Im, Seong-Cheol
    • Geotechnical Engineering
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    • v.6 no.3
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    • pp.65-76
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    • 1990
  • A series of consolidated drained and untrained cubical triaxial tests were performed to investigate three dimensional strength characteristics of compressible sand. All specimens, which are formed by deposisting a fine sand loosely, were used. Failure strength in terms of effective stress analysis was greatly influenced by the variation of intermediate principal stress and so was failure criterion The adjusted effective frictional angles obtained by the stress state projected on the same octahedral plane showed almost same value, while the measured effective frictional angles showed considerable difference depending on the drainage conditions. Results of total stress analysis in undrained test turned out to fit Tresca's failure criterion well, but results of effective stress analysis turned out to fit Lade's failure criterion well.

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