• 제목/요약/키워드: Plane strain condition

검색결과 181건 처리시간 0.026초

포화사(飽和砂)의 전단강도(剪斷强度)에 관한 실험적(實驗的) 연구(硏究) (An Experimental Study on Shear Strength of Saturated Sand)

  • 이형수;박용대
    • 대한토목학회논문집
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    • 제9권3호
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    • pp.107-113
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    • 1989
  • 본(本) 연구(硏究)는 일본(日本)의 표준사(標準砂)인 풍포사(豊浦砂) (Toyoura Sand)를 사용(使用)하여 일본대학(日本大學) 이공학부토질실험실(理工學部土質實驗室)에 비치(備置)된 응력(應力)과 변형(變形)의 조건(條件)이 서로 다른 시험장치(試驗裝置) 이용(利用)하여 평면변형시험(平面變形試驗)과 축대칭응력(軸對稱應力) 조건하(條件下)의 삼축압축시험(三軸壓縮試驗)을 실시(實施)하고 이미 조사(調査) 보고(報告)한 바 있는 비트림 단순전단시험(單純剪斷試驗) 결과(結果)와 비교(比較)하여 3차원(三次元) 응력조건하(應力條件下)에서 포화(飽和)된 모래의 전단변형(剪斷變形) 특성(特性)을 검토(檢討)하여 다음과 같은 결론(結論)을 얻었다. 1) 모래의 내부마찰각(內部摩擦角) ${\phi}_d$는 응력변형(應力變形)의 조건(條件)에 관계(關係)없이 구속압(拘束壓)에 반비례(反比例)한다. 이는 같은 밀도(密度)의 모래라도 구속압(拘束壓)이 낮을 수록 체적변화(體積變化)가 크기 때문이다. 2) 같은 밀도(密度)의 모래라도 응력변형(應力變形)의 조건(條件)에 따라 ${\phi}$값이 다르며 ${\phi}_dTS$${\phi}_dPS$${\phi}_dTC$에 비(比)하여 구속압(拘束壓)이 낮을 때 그 영향이 크다. 3) 같은 밀도(密度)와 구속압하(拘束壓下)에서는 ${\phi}_dPS$${\phi}_dTC$ 보다 크고 ${\phi}_dTS$ 보다 작은 값을 나타내는 것을 보아 모래의 전단강도(剪斷强度)는 응력변형(應力變形)의 조건(條件)에 따라 차이가 남을 알 수 있다. 4) 모래의 한계상태(限界狀態)를 나타내는 에너지 소산식(消散式)에 의(依)하면 응력비(應力比)(q/p)와 변형증분비(變形增分比) 관계(關係)는 평면변형시험(平面變形試驗)의 경우 공시체(供試體)의 구속압(拘束壓) 및 밀도(密度)에 관계(關係)없이 동일(同一)한 직선상(直線上)에 존재(存在)한다.

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금형주조한 Mo-Ni-Cu계 구상흑연주철의 오스템퍼링 온도 및 시간에 따른 파괴특성 (Fracture Properties of Mo-Ni-Cu Austempered Ductile Iron Cast in Permanent Mold with Austempering Temperature and Time)

  • 이영상;강인찬
    • 한국주조공학회지
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    • 제11권4호
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    • pp.331-337
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    • 1991
  • Various test specimens were prepared by austempering low alloyed Mo-Ni-Cu ductile iron blocks of high graphite nodule count at 270, 320 or $370^{\circ}C$ for 0.5, 1, 3 or 9hrs. Tensile test, CVN impact test and plane-strain fracture toughness test(compact tension specimen of 50mm W) were done for each heat treatment condition at room temperature. X-ray diffractometer and optical microscope were used to investigate the change of microstructure and relationships between microstructure and test results. The highest retained austenite volume percent at each austempering temperature was corresponded to the highest mechanical property. The highest elongation value of 17%, U.T.S. value of 1,600 MPa or $K_{IC}$ value of 90MPa${\surd}$m were reached at each optimum condition. The best heat treatment condition for fracture toughness were 3hrs' holding time combined with the austempering temperature of 270 and $320^{\circ}C$, and 1hr's of $370^{\circ}C$.

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Nondestructive Testing of Residual Stress on the Welded Part of Butt-welded A36 Plates Using Electronic Speckle Pattern Interferometry

  • Kim, Kyeongsuk;Jung, Hyunchul
    • Nuclear Engineering and Technology
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    • 제48권1호
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    • pp.259-267
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    • 2016
  • Most manufacturing processes, including welding, create residual stresses. Residual stresses can reduce material strength and cause fractures. For estimating the reliability and aging of a welded structure, residual stresses should be evaluated as precisely as possible. Optical techniques such as holographic interferometry, electronic speckle pattern interferometry (ESPI), Moire interferometry, and shearography are noncontact means of measuring residual stresses. Among optical techniques, ESPI is typically used as a nondestructive measurement technique of in-plane displacement, such as stress and strain, and out-of-plane displacement, such as vibration and bending. In this study, ESPI was used to measure the residual stress on the welded part of butt-welded American Society for Testing and Materials (ASTM) A36 specimens with $CO_2$ welding. Four types of specimens, base metal specimen (BSP), tensile specimen including welded part (TSP), compression specimen including welded part (CSP), and annealed tensile specimen including welded part (ATSP), were tested. BSP was used to obtain the elastic modulus of a base metal. TSP and CSP were used to compare residual stresses under tensile and compressive loading conditions. ATSP was used to confirm the effect of heat treatment. Residual stresses on the welded parts of specimens were obtained from the phase map images obtained by ESPI. The results confirmed that residual stresses of welded parts can be measured by ESPI.

1D deformation induced permeability and microstructural anisotropy of Ariake clays

  • Chai, Jinchun;Jia, Rui;Nie, Jixiang;Aiga, Kosuke;Negami, Takehito;Hino, Takenori
    • Geomechanics and Engineering
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    • 제8권1호
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    • pp.81-95
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    • 2015
  • The permeability behavior of Ariake clays has been investigated by constant rate of strain (CRS) consolidation tests with vertical or radial drainage. Three types of Ariake clays, namely undisturbed Ariake clay samples from the Saga plain, Japan (aged Ariake clay), clay deposit in shallow seabed of the Ariake Sea (young Ariake clay) and reconstituted Ariake clay samples using the soil sampled from the Saga plain, were tested. The test results indicate that the deduced permeability in the horizontal direction ($k_h$) is generally larger than that in the vertical direction ($k_v$). Under odometer condition, the permeability ratio ($k_h/k_v$) increases with the vertical strain. It is also found that the development of the permeability anisotropy is influenced by the inter-particle bonds and clay content of the sample. The aged Ariake clay has stronger initial inter-particle bonds than the young and reconstituted Ariake clays, resulting in slower increase of $k_h/k_v$ with the vertical strain. The young Ariake clay has higher clay content than the reconstituted Ariake clay, resulting in higher values of $k_h/k_v$. The microstructure of the samples before and after the consolidation test has been examined qualitatively by scanning electron microscopy (SEM) image and semi-quantitatively by mercury intrusion porosimetry (MIP) tests. The SEM images indicate that there are more cut edges of platy clay particles on a vertical plane (with respect to the deposition direction) and there are more faces of platy clay particles on a horizontal plane. This tendency increases with the increase of one-dimensional (1D) deformation. MIP test results show that using a sample with a larger vertical surface area has a larger cumulative intruded pore volume, i.e., mercury can be intruded into the sample more easily from the horizontal direction (vertical plane) under the same pressure. Therefore, the permeability anisotropy of Ariake clays is the result of the anisotropic microstructure of the clay samples.

특정 사례터널 해석 결과 및 평가

  • 이승래;오세붕;백규호
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1991년도 추계학술발표회 논문집 지반공학에서의 컴퓨터 활용 COMPUTER UTILIZATION IN GEOTECHNICAL ENGINEERING
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    • pp.123-132
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    • 1991
  • The GEOKST program was used to solve the tunnel example problem. The package can solve such geotechnical problem as excavation, embankment, foundations, etc., in which the soil can be modeled by various elastoplastic geomaterial models. The main objective was to consider the effects of excavation depth to the face of the tunnel on the stability of the ground and support system. Depended on the strength of the ground materials, the limit excavation depth without any support system could be established by analyzing three-dimensional excavation problem. In this given example problem, the strengths of the ground materials were enough for the stability of the tunnel without any support system up to fairly deep excavation and the maximum tunnel section displacement was stabilized as the excavation proceed. The asymptotic value was approximately the same as that of the plane strain analysis. Thus, assuming the plain strain condition and simulation the actual excavation procedure, the maximum tunnel section displacement was caculated after final step. The maximum calculated displacement occured at the top section of the tunnel geometry and was about 8mm.

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Identification of isotropic and orthotropic constitutive parameters by FEA-free energy-based inverse characterization method

  • Shang, Shen;Yun, Gun Jin;Kunchum, Shilpa;Carletta, Joan
    • Structural Engineering and Mechanics
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    • 제45권4호
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    • pp.471-494
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    • 2013
  • In this paper, identification of isotropic and orthotropic linear elastic material constitutive parameters has been demonstrated by a FEA-free energy-based inverse analysis method. An important feature of the proposed method is that it requires no finite element (FE) simulation of the tested material. Full-field displacements calculated using digital image correlation (DIC) are used to compute DIC stress fields enforcing the equilibrium condition and DIC strain fields using interpolation functions. Boundary tractions and displacements are implicitly recast into an objective function that measures the energy residual of external work and internal elastic strain energy. The energy conservation principle states that the residual should be zero, and so minimizing this objective function inversely identifies the constitutive parameters. Synthetic data from simulated testing of isotropic materials and orthotropic composite materials under 2D plane stress conditions are used for verification of the proposed method. When identifying the constitutive parameters, it is beneficial to apply loadings in multiple directions, and in ways that create non-uniform stress distributions. The sensitivity of the parameter identification method to noise in both the measured full-field DIC displacements and loadings has been investigated.

Bending analysis of doubly curved FGM sandwich rhombic conoids

  • Ansari, Md I.;Kumar, Ajay;Bandyopadhyaya, Ranja
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.469-483
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    • 2019
  • In this paper, an improved mathematical model is presented for the bending analysis of doubly curved functionally graded material (FGM) sandwich rhombic conoids. The mathematical model includes expansion of Taylor's series up to the third degree in thickness coordinate and normal curvatures in in-plane displacement fields. The condition of zero-transverse shear strain at upper and lower surface of rhombic conoids is implemented in the present model. The newly introduced feature in the present mathematical model is the simultaneous inclusion of normal curvatures in deformation field and twist curvature in strain-displacement equations. This unique introduction permits the new 2D mathematical model to solve problems of moderately thick and deep doubly curved FGM sandwich rhombic conoids. The distinguishing feature of present shell from the other shells is that maximum transverse deflection does not occur at its center. The proposed new mathematical model is implemented in finite element code written in FORTRAN. The obtained numerical results are compared with the results available in the literature. Once validated, the current model was employed to solve numerous bending problems by varying different parameters like volume fraction indices, skew angles, boundary conditions, thickness scheme, and several geometric parameters.

Flexural behavior of ultra high performance concrete beams reinforced with high strength steel

  • Wang, Jun-Yan;Gu, Jin-Ben;Liu, Chao;Huang, Yu-Hao;Xiao, Ru-Cheng;Ma, Biao
    • Structural Engineering and Mechanics
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    • 제81권5호
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    • pp.539-550
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    • 2022
  • A detailed experimental program was conducted to investigate the flexural behavior of ultra high performance concrete (UHPC) beams reinforced with high strength steel (HSS) rebars with a specified yield strength of 600 MPa via direct tensile test and monotonic four-point bending test. First, two sets of direct tensile test specimens, with the same reinforcement ratio but different yield strength of reinforcement, were fabricated and tested. Subsequently, six simply supported beams, including two plain UHPC beams and four reinforced UHPC beams, were prepared and tested under four-point bending load. The results showed that the balanced-reinforced UHPC beams reinforced with HSS rebars could improve the ultimate load-bearing capacity, deformation capacity, ductility properties, etc. more effectively owing to interaction between high strength of HSS rebar and strain-hardening characteristic of UHPC. In addition, the UHPC with steel rebars kept strain compatibility prior to the yielding of the steel rebar, further satisfied the plane-section assumption. Most importantly, the crack pattern of the UHPC beam reinforced with HSS rebars was prone to transform from single main crack failure corresponding to the normal-strength steel, to multiple main cracks failure under the condition of balanced-reinforced failure, which validated by the conclusion of direct tensile tests cooperated with acoustic emission (AE) source locating technique as well.

Response of steel pipeline crossing strike-slip fault in clayey soils by nonlinear analysis method

  • Hadi Khanbabazadeh;Ahmet Can Mert
    • Geomechanics and Engineering
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    • 제34권4호
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    • pp.409-424
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    • 2023
  • Response of the pipeline crossing fault is considered as the large strain problem. Proper estimation of the pipeline response plays important role in mitigation studies. In this study, an advanced continuum modeling including material non-linearity in large strain deformations, hardening/softening soil behavior and soil-pipeline interaction is applied. Through the application of a fully nonlinear analysis based on an explicit finite difference method, the mechanics of the pipeline behavior and its interaction with soil under large strains is presented in more detail. To make the results useful in oil and gas engineering works, a continuous pipeline of two steel grades buried in two clayey soil types with four different crossing angles of 30°, 45°, 70° and 90° with respect to the pipeline axis have been considered. The results are presented as the fault movement corresponding to different damage limit states. It was seen that the maximum affected pipeline length is about 20 meters for the studied conditions. Also, the affected length around the fault cutting plane is asymmetric with about 35% and 65% at the fault moving and stationary block, respectively. Local buckling is the dominant damage state for greater crossing angle of 90° with the fault displacement varying from 0.4 m to 0.55 m. While the tensile strain limit is the main damage state at the crossing angles of 70° and 45°, the cross-sectional flattening limit becomes the main damage state at the smaller 30° crossing angles. Compared to the stiff clayey soil, the fault movement resulting 3% tensile strain limit reach up to 40% in soft clayey soil. Also, it was seen that the effect of the pipeline internal pressure reaches up to about 40% compared to non-pressurized condition for some cases.

Investigation of three-dimensional deformation mechanisms of existing tunnels due to nearby basement excavation in soft clay

  • Wanchun Chen;Lixian Tang;Haijun Zhao;Qian Yin;Shuang Dong;Jie Liu;Zhaohan Zhu;Xiaodong Ni
    • Geomechanics and Engineering
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    • 제34권2호
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    • pp.115-124
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    • 2023
  • By conducting three-dimensional simulation with consideration of small-strain characteristics of soil stiffness, the effects of excavation geometry and tunnel cover to diameter ratio on deformation mechanisms of an existing tunnel located either at a side of basement or directly underneath the basement were systematically studied. Field measurements were used to verify the numerical model and model parameters. For basement excavated at a side of an existing tunnel, the maximum settlement and horizontal displacement of the tunnel are always observed at the tunnel springline closer to basement and tunnel crown, respectively, regardless of basement geometry. By increasing basement length and width by five times, the maximum movements of tunnel located at the side of basement and directly underneath the basement increase by 450% and 186%, respectively. Obviously, tunnel movements are more sensitive to basement length rather than basement width. For basement excavated at a side of an existing tunnel, tunnel movements at basement centerline become stable when basement length reaches 10 He (i.e., final excavation depth). Moreover, tunnel heaves due to overlying basement excavation become stable when the normalized basement length (L/He) is larger than 8.0. As tunnel cover to diameter ratio varies from 2.5 to 3.0, the maximum heave and tensile strain of tunnel due to overlying basement excavation decrease by up to 41.0% and 44.5%, respectively. If basement length is less than 8 He, the assumption of plane strain condition of basement-tunnel interaction grossly overestimates tunnel movements, and ignores tensile strain of tunnel along its longitudinal direction. Thus, three-dimensional numerical analyses are required to obtain a reasonable estimation of tunnel responses due to adjacent and overlying basement excavations in clay.