• Title/Summary/Keyword: 진응력

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Acquirement of True Stress-strain Curve Using True Fracture Strain Obtained by Tensile Test and FE Analysis (인장시험과 유한요소해석으로 구한 파단 진변형률을 이용한 진응력-진변형률 선도 획득)

  • Lee, Kyoung-Yoon;Kim, Tae-Hyung;Lee, Hyung-Yil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.10
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    • pp.1054-1064
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    • 2009
  • In this work, we predict a true fracture strain using load-displacement curves from tensile test and finite element analysis (FEA), and suggest a method for acquiring true stress-strain (SS) curves by predicted fracture strain. We first derived the true SS curve up to necking point from load-displacement curve. As the beginning, the posterior necking part of true SS curve is linearly extrapolated with the slope at necking point. The whole SS curve is then adopted for FE simulation of tensile test. The Bridgman factor or suitable plate correction factors are applied to pre and post FEA. In the load-true strain curve from FEA, the true fracture strain is determined as the matching point to test fracture load. The determined true strain is validated by comparing with test fracture strain. Finally, we complete the true SS curve by combining the prior necking part and linear part, the latter of which connects necking and predicted fracture points.

True Stress-True Strain Curves Obtained by Simulating Tensile Tests Using Finite Element Program (인장시험을 유한요소해석 시뮬레이션하여 진응력-진변형도 곡선을 결정하는 방법)

  • Chu, Seok-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.1
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    • pp.25-31
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    • 2011
  • In the tensile test necking occurs at the maximum load point and non-uniform stress state is generated in this section. The equivalent stress becomes quite different from the axial stress as necking proceeds. Methods for obtaining the true stress-true strain curves, by overcoming difficulties due to the necking phenomena, have been developed by many authors. One of the methods based on the finite element analysis simulation is a very promising method. In this paper, general-purpose finite element program is used to simulate the tensile test. A round specimen and a flat specimen prepared from the same steel block are tested and simulated. The true stress-true strain curves are determined without assuming that the material follows Hollomon's law.

True Triaxial Physical Model Experiment on Brittle Failure Grade and Failure Initiation Stress (취성파괴수준과 파괴개시시점에 관한 진삼축 모형실험연구)

  • Cheon, Dae-Sung;Park, Chan;Park, Chul-Whan;Jeon, Seok-Won
    • Tunnel and Underground Space
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    • v.17 no.2 s.67
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    • pp.128-138
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    • 2007
  • At low in-situ stress, the continuity and distribution of natural fractures in rock mass predominantly control the failure processes. However at high in-situ stress, the failure process are affected and eventually dominated by stress-induced fractures preferentially growing parallel to the excavation boundary. This fracturing is often observed in brittle type of failure such as slabbing or spatting. Recent studies on the stress- or excavation-induced damage of rock revealed its importance especially in a highly stressed regime. In order to evaluate the brittle failure around a deep underground opening, physical model experiments were carried out. For the experiments a new tue triaxial testing system was made. According to visual observation and acoustic emission detection, brittle failure grades were classified under three categories. The test results indicate that where higher horizontal stress, acting perpendicular $(S_{H2})$ and parallel $(S_{H1})$ to the axis of the tunnel respectively, were applied, the failure grade at a constant vertical stress level (Sy) was lowered. The failure initiation stress was also increased with the increasing $S_{H1}\;and\;S_{H2}$. From the multi-variable regression on failure initiation stress and true triaxial stress conditions, $f(S_v,\;S_{H1},\;S_{H2})$ was proposed.

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.

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.

Analysis of True Stress - True Strain Relations through the Modeling of Ball Indentation Test (압입시험 모델링을 통한 진응력-진변형율 관계 해석)

  • Lee, Ho-Jin;Kim, Ki-Baik;Lee, Bong-Sang;Lee, Byung-Sup
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.660-665
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    • 2003
  • The true stress - true strain relation of SA508 steel was evaluated with analytical and experimental equation on the base of the indentation load-depth curve obtained from the modeling of ball indentation test. The evaluated relation between true stress and true strain is agreed well with that of SA508 teel defined in the modeling. The distribution of effective stress along the center axis of indentation depth was calculated with Tresca criteria in the modeling. The representative strain, which are defined in this study as the corresponding strains obtained from the maximum effective stress, have a linear relation with the true strain. The true stress - true strain relation of austenitic stainless steel was evaluated by the modeling of ball indentation test to verify the case of A508 steel.

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Evaluation of Strength and Deformability of a Friction Material Based on True Triaxial Compression Tests (진삼축압축시험을 통한 마찰재료의 강도 및 변형 특성 평가)

  • Bae, Junbong;Um, Jeong-Gi;Jeong, Hoyoung
    • The Journal of Engineering Geology
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    • v.32 no.4
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    • pp.597-610
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    • 2022
  • Knowledge of the failure behavior of friction materials considering their intermediate principal stress is related to an understanding of situations where these materials might be used: for example, the stability of deep-seated boreholes and fault slip analysis. This study designed equipment for physically implementing true triaxial compression and used it to assess specimens of plaster, a friction material. The material's mechanical behaviors are discussed based on the results. The applicability of the 3D failure criteria are also reviewed. The tested specimens were molded cuboids of width, length, and height 52, 52, and 104 mm, respectively. A total of 24 true triaxial compression tests were performed under various combinations of 𝜎3 and 𝜎2 conditions. Conventional uniaxial and triaxial compression tests were employed to estimate the mechanical properties of the plaster for use as parameters for 3D failure criteria. Examining the stress-strain relations of the plaster materials showed that a large difference between the intermediate principal stress and the minimum principal stress indicated strong brittle behavior. The mechanical behavior of the plaster used here reflects the change of intermediate principal stress. Nonlinear multiple regression analysis on the test data in the principal space showed that the modified Wiebols-Cook failure criterion and the modified Lade failure criterion were the most suitable 3D failure criteria for the tested plaster.

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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Analysis of Stress Concentration between Fillet and Hole in a Stepped Plate under Tensile Load by Photoelasticity (단이 진 인장부재 필릿과 구멍사이 응력집중에 관한 광탄성법 해석)

  • Baek, Tae-Hyun;Kim, Myung-Soo;Kim, Young-Chul
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.5 no.2
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    • pp.207-214
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    • 2015
  • Stress concentrations around discontinuities, such as a hole or a sudden change in cross section of a structural member, have great important cause in the most materials failure because the stress near the points of application of concentrated loads can reach values much larger than the average value of the stress in the member. This paper presents the stress concentrations between fillet and hole at different locations in a stepped plate under tensile loading. The analysis for interaction effect of stress concentration was performed by photoelasticity and ANSYS which is a commercial finite element software. From the analysis results, the circular hole located at the different position from the fillet radius can cause different values of stress concentration factor within interacting region.