• 제목/요약/키워드: limit strain

검색결과 509건 처리시간 0.025초

A numerical stepwise approach for cavity expansion problem in strain-softening rock or soil mass

  • Zou, Jin-Feng;Yang, Tao;Ling, Wang;Guo, Wujun;Huang, Faling
    • Geomechanics and Engineering
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    • 제18권3호
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    • pp.225-234
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    • 2019
  • A numerical stepwise approach for cavity expansion problem in strain-softening rock or soil mass is investigated, which is compatible with Mohr-Coulomb and generalized Hoek-Brown failure criteria. Based on finite difference method, plastic region is divided into a finite number of concentric rings whose thicknesses are determined internally to satisfy the equilibrium and compatibility equations, the material parameters of the rock or soil mass are assumed to be the same in each ring. For the strain-softening behavior, the strength parameters are assumed to be a linear function of deviatoric plastic strain (${\gamma}p^*$) for each ring. Increments of stress and strain for each ring are calculated with the finite difference method. Assumptions of large-strain for soil mass and small-strain for rock mass are adopted, respectively. A new numerical stepwise approach for limited pressure and plastic radius are obtained. Comparisons are conducted to validate the correctness of the proposed approach with Vesic's solution (1972). The results show that the perfectly elasto-plastic model may underestimate the displacement and stresses in cavity expansion than strain-softening coefficient considered. The results of limit expansion pressure based on the generalised H-B failure criterion are less than those obtained based on the M-C failure criterion.

Effect of Bending Test Procedure on the Degradation Behavior of Critical Current in ReBCO Coated Conductor Tapes

  • Shin, H.S.;Dedicatoria, M.J.;Lee, N.J.;Oh, S.S.
    • 한국초전도ㆍ저온공학회논문지
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    • 제11권4호
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    • pp.12-15
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    • 2009
  • The $I_c$ degradation behavior of critical current in differently processed YBCO and SmBCO CC tapes with IBAD template has been investigated. It has been known that the residual strain in the CC tape will influence the shape of the $I_c$-strain window; $I_c$ may show a peak value if there exist a residual strain induced in the tape during manufacturing. The difference of residual strain may be resulted from the adopted different deposition techniques. In this study, bending test of CC tapes has been done using the Goldacker bending test rig which can produce both compressive and tensile bending strain continuously or alternately to the sample. For SmBCO CC tapes, in continuous compressive bending test, $I_c$ showed a minimal increase and did not degrade up to the largest strain that can be applied using the bending rig equivalent to 1.15% based on the sample thickness. However, in the case of alternate application of compressive and tensile bending strain, $I_c$ showed a larger degradation and a lower reversible limit when compared with the case of continuous application of the bending strain. When $I_c$ started to degrade significantly at the tension side, the reversibility ended, also at the compression side which is resulted from the permanent deformation like delamination or cracks that was induced due to tensile bending strain.

콘크리트 응력-변형률 관계에 기반한 철근콘크리트 부재의 처짐 산정 (Deflection Calculation Based on Stress-Strain Curve for Concrete in RC Members)

  • 최승원;김우
    • 대한토목학회논문집
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    • 제30권4A호
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    • pp.383-389
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    • 2010
  • 현재 우리나라의 콘크리트구조설계기준은 강도설계법에 근간하고 있다. 강도설계법에 의해 휨부재를 설계할 경우, 콘크리트 응력-변형률 관계는 사용하중 상태에서 선형으로 가정하지만 이후 극한한계 상태까지에 대해서는 규정되어 있지 않다. 이로 인해 콘크리트구조설계기준에서는 처짐 및 균열폭 등의 산정에 대해 개별적인 규정을 두고 있다. 그러나 한계상태설계법에 근거한 EC에서는 재료에 대한 응력-변형률 관계를 규정하고 있다. 따라서 재료의 응력-변형률 관계로부터 휨강도 및 처짐 등을 직접 계산할 수 있다. 본 연구에서는 휨부재에 대하여 주어진 재료 모델을 바탕으로 평형방정식과 적합조건식을 적용하여 휨모멘트-곡률 관계를 계산하였다. 이로부터 휨강도 및 처짐을 산정하여 현행 콘크리트구조설계기준에 의한 값과 비교하였다. 해석 결과 재료 모델로부터 휨모멘트-곡률 관계를 통해 산정된 처짐은 실험 결과와도 비교적 잘 일치하고, 항복 이후의 처짐 계산도 가능한 것으로 나타났다.

감육이 존재하고 내압을 받는 T 분기관의 한계하중 평가식 (Limit Load Solutions for Piping Branch Junctions with local wall-thinning under Internal Pressure)

  • 류강묵;김윤재;이국희;박치용;이성호;김태룡
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.1813-1817
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    • 2007
  • The present work presents plastic limit load solutions for piping branch junctions with local wall-thinning, based on detailed three-dimensional (3-D) and small strain FE limit analyses using elastic-perfectly plastic materials. Three types of loading are considered; internal pressure, in-plane bending on the branch pipe and in-plane bending on the run pipe. The wall-tinning located on variable area of the piping branch junction is considered. A wide range of piping branch junction and wall-thinning geometries are considered. Comparison of the proposed solutions with FE results shows good agreement

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유한요소 역 해석을 이용한 축대칭 다단계 박판성형에서의 공정변수 설계에 관한 연구 (Design of Porcess Parameters in Axisymmetric Multi-step Deep Drawing by a Finite Element Inverse Method)

  • 조천수;이충호;허훈
    • 소성∙가공
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    • 제6권4호
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    • pp.300-310
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    • 1997
  • A finite element inverse method is introduced for direct prediction of blank shapes, strain distributions, and reliable intermediate shapes from desired final shapes in axisymmetric multi-step deep drawing processes. This mothod enables the determination of process disign. The approach deals with the Hencky's deformation theory. Hill's second order yield criterion, simplified boundary conditions, and minimization of plastic work with constraints. The algorithm developed is applied to motor case forming, and cylindrical cup drawing with the large limit drawing ratio so that it confirms its validity by demonstrating resonably accurate numerical results of each problem. Numerical examples reveal the reason of difficulties in motor case forming with corresponding limit diagrams.

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아연도금강판의 성형한계도 (Forming Limit Diagrams of Zinc and Zinc Alloy Coated Steel Sheets)

  • 권재욱;이동녕;김인수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1994년도 춘계학술대회 논문집
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    • pp.92-100
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    • 1994
  • Forming limit diagrams for three different galvanized deep drawing quality steel sheets have been measured by hemispherical punch stretching. The experimental forming limit diagrams have been compared with results calculated using the shear instability criterion and the M-K model which takes into account a strain gradient effect resulting from bending (curvature) of a flat sheet by punch stretching. The measured data were in good agreement with the results calculated using exponent M value of 8 in Hosford's yield criterion for the M-K model and M= 6 for the shear instability model.

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Large strain analysis of two-dimensional frames by the normal flow algorithm

  • Tabatabaei, R.;Saffari, H.
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.529-544
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    • 2010
  • Nonlinear equations of structures are generally solved numerically by the iterative solution of linear equations. However, this iterative procedure diverges when the tangent stiffness is ill-conditioned which occurs near limit points. In other words, a major challenge with simple iterative methods is failure caused by a singular or near singular Jacobian matrix. In this paper, using the Newton-Raphson algorithm based on Davidenko's equations, the iterations can traverse the limit point without difficulty. It is argued that the propose algorithm may be both more computationally efficient and more robust compared to the other algorithm when tracing path through severe nonlinearities such as those associated with structural collapse. Two frames are analyzed using the proposed algorithm and the results are compared with the previous methods. The ability of the proposed method, particularly for tracing the limit points, is demonstrated by those numerical examples.

연강 판재에 대한 연강 구의 고속경사충돌 수치해석 (Numerical Simulation of High-Velocity Oblique Impact of Mild Steel Spheres Against Mild Steel Plates)

  • 유요한;장순남;정동택
    • 대한기계학회논문집A
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    • 제26권3호
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    • pp.576-585
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    • 2002
  • A three-dimensional Lagrangian explicit time-integration finite element code for analyzing the dynamic impact phenomena was developed. It uses four node tetrahedral elements. In order to consider the effects of strain rate hardening, strain hardening and thermal softening, which are frequently observed in high-velocity deformation phenomena, Johnson-Cook model is used as constitutive model. For more accurate and robust contact force computation, the defense node contact algorithm was adopted and implemented. In order to evaluate the performance of the newly developed three-dimensional hydrocode NET3D, numerical simulations of the oblique impact of mild steel plate by mild steel sphere were carried out. Ballistic limit about various oblique angle between 0 degree and 80 degree was estimated through a series of simulations with different initial velocities of sphere. Element eroding by equivalent plastic strain was applied to mild steel spheres and targets. Ballistic limits and fracture characteristics obtained from simulation were compared with experimental results conducted by Finnegan et al. From numerical studies, the following conclusions were reached. (1) Simulations could successfully reproduce the key features observed in experiment such as tensile failure termed "disking"at normal impacts and outwards bending of partially formed plus segments termed "hinge-mode"at oblique impacts. (2) Simulation results fur 60 degrees oblique impact at 0.70 km/s and 0.91 km/s were compared with experimental results and Eulerian hydrocode CTH simulation results. The Lagrangian code NET3D is superior to Eulerian code CTH in the computational accuracy. Agreement with the experimentally obtained final deformed cross-sections of the projectile is excellent. (3) Agreement with the experimental ballistic limit data, particularly at the high-obliquity impacts, is reasonably good. (4) The simulation result is not very sensitive to eroding condition but slightly influenced by friction coefficient.

2차원 한계평형 및 평면변형해석을 통한 지오텍스타일 튜브 복합구조물의 거동분석 (Behavior of Geotextile Tube Composite Structure by 2-D Limit Equilibrium and Plane Strain Analysis)

  • 신은철
    • 한국지반환경공학회 논문집
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    • 제7권6호
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    • pp.13-22
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    • 2006
  • 지난 30여년간 지오텍스타일은 토목분야의 건설현장에서 필터 및 배수기능을 위한 효과적인 재료로 활용되어 왔으며, 최근에는 다양한 환경 분야에서도 그 활용이 증가되고 있다. 지오텍스타일 튜브공법은 지오텍스타일의 필터 및 배수기능을 복합적으로 활용하는 공법으로 과거의 모래주머니, 훼브릭 폼, 게비언 등의 개념에서 최근 수리학적 채움기법을 적용하여 해안침식방지 구조물, 슬러지의 탈수, 오염물질의 격리처리 구조물 등의 신구조물 공법으로 자리매김 하고 있다. 본 연구에서는 지오텍스타일 튜브와 지반재료와의 복합구조물의 거동 및 설계인자에 대하여 2차원 한계평형 및 평면변형 해석방법을 통하여 분석하였다. 2차원 한계평형이론을 통하여 설계영향인자 및 현장여건에 따른 지오텍스타일 튜브 복합 구조물의 지반공학적 안정성을 분석하였으며, 지오텍스타일 튜브 전용해석 프로그램인 GeoCoPS를 이용한 2차원 평면변형 해석에서는 지오텍스타일 튜브 구조물의 설계 및 시공기법에 대하여 검토하였다. 2차원 한계평형해석 및 평면변형해석 방법을 통한 분석결과, 세가지 형태의 지오텍스타일 튜브구조물 모두 안정성을 확보하고 있으며, 지오텍스타일의 소요인장강도는 151kN/m, 펌핑압은 최대 22.7kN/m로 도출되었다.

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Strength and strain modeling of CFRP -confined concrete cylinders using ANNs

  • Ozturk, Onur
    • Computers and Concrete
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    • 제27권3호
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    • pp.225-239
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    • 2021
  • Carbon fiber reinforced polymer (CFRP) has extensive use in strengthening reinforced concrete structures due to its high strength and elastic modulus, low weight, fast and easy application, and excellent durability performance. Many studies have been carried out to determine the performance of the CFRP confined concrete cylinder. Although studies about the prediction of confined compressive strength using ANN are in the literature, the insufficiency of the studies to predict the strain of confined concrete cylinder using ANN, which is the most appropriate analysis method for nonlinear and complex problems, draws attention. Therefore, to predict both strengths and also strain values, two different ANNs were created using an extensive experimental database. The strength and strain networks were evaluated with the statistical parameters of correlation coefficients (R2), root mean square error (RMSE), and mean absolute error (MAE). The estimated values were found to be close to the experimental results. Mathematical equations to predict the strength and strain values were derived using networks prepared for convenience in engineering applications. The sensitivity analysis of mathematical models was performed by considering the inputs with the highest importance factors. Considering the limit values obtained from the sensitivity analysis of the parameters, the performances of the proposed models were evaluated by using the test data determined from the experimental database. Model performances were evaluated comparatively with other analytical models most commonly used in the literature, and it was found that the closest results to experimental data were obtained from the proposed strength and strain models.