• 제목/요약/키워드: Drucker-Prager

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Drucker-Prager 파괴기준을 적용한 축대칭 탄소성 터널의 이론해 (Semi -analytical Solution for Azisymmetric Tunnels in Drucker Prayer Medium)

  • 김광진;김학문
    • 한국지반공학회지:지반
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    • 제13권2호
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    • pp.169-184
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    • 1997
  • Drucker-Prayer의 항복기준을 이용한 원형터널의 해석을 위하여 간략한 수치해석 기법이 유도되었다. 유도된 이론해를 근거로 컴퓨터 프로그램 FDAXP가 개발되었구 예제 해석을 통하여 프로그램의 신뢰도를 검증하여 만족한 결과를 얻었다. 소개된 프로그램 FDAXP는 깊은 터널과 쉽게 소성변형이 발생되는 지반 및 암반에서의 초기 터널해석에 손쉽게 적용될 수 있으며, 기존의 상용 프로그램들에서 Drunker-Prayer model을 검증하는데에 매우 유용하게 사용되리라 사료된다.

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정수압에 의존하는 항복기준의 강도정수 비교연구 (A Study on Comparison of Strength Parameters of Hydrostatic Pressure-Dependent Yield Criteria)

  • 이승현;한진태
    • 한국산학기술학회논문지
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    • 제17권7호
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    • pp.529-535
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    • 2016
  • 이론적 연구를 통하여 정수압의 영향을 받는 항복기준인 Mohr-Coulomb 항복기준과 Drucker-Prager 항복기준의 강도정수를 ${\pi}$-평면에 대해 일치시킴으로써 강도정수간의 상관관계를 분석해 보았다. Drucker-Prager 강도정수 ${\alpha}$와 k를 Mohr-Coulomb 강도정수인 c와 ${\phi}$를 이용하여 표현하였는데 k는 c, ${\phi}$의 함수로 표현되었고 ${\alpha}$${\phi}$만의 함수로 표현되었다. Drucker-Prager 강도정수 ${\alpha}$값은 흙의 내부마찰각이 커짐에 따라 증가함을 알 수 있었는데 Drucker-Prager 항복기준을 나타내는 원이 Mohr-Coulomb 항복기준에 외접 및 내접하는 경우의 ${\alpha}$값을 나타내는 ${\alpha}_c$${\alpha}_i$값에 대하여 평균값인 ${\alpha}_{av}$의 값은 내부마찰각에 비례하였는데 내부마찰각이 $10^{\circ}$인 경우 약 0.07이었으며 내부마찰각이 $45^{\circ}$인 경우 약 0.29이었다. 또한, ${\alpha}_c/{\alpha}_i$값은 내부마찰각에 비례하였는데 내부마찰각이 $10^{\circ}$인 경우 약 1.12이었으며 내부마찰각이 $45^{\circ}$인 경우 약 1.62이었다. Mohr-Coulomb 강도정수가 Drucker-Prager 강도정수 k에 미치는 영향을 살펴보았는데 본 연구에서 가정한 흙의 점착력 중 최소값이 10kPa인 경우를 제외하고 흙의 내부마찰각의 영향을 거의 받지 않고 전체적으로 흙의 점착력에 영향을 받음을 알 수 있었다. 일정한 점착력에 대하여 내부마찰각이 증가함에 따라 일축압축시 및 일축인장시의 Mohr-Coulomb 항복기준에 의한 축차응력인 $S_{c0}$$S_{t0}$ 그리고 두 값의 평균값인 $S_{0(ave)}$값은 감소하였다. 또한 내부마찰각이 증가할수록 Mohr-Coulomb 항복궤적을 나타내는 육각형이 더욱 불규칙해져 $S_{0(ave)}$로부터 $S_{c0}$$S_{t0}$ 사이의 편차가 내부마찰각이 증가함에 따라 커짐을 알 수 있었다.

재료모델에 따른 유연 콘크리트 매트리스의 충돌 거동 평가 (Collision Behavior Evaluation of Flexible Concrete Mattress Depending on Material Models)

  • 류연선;조현만;김서현
    • 한국해양공학회지
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    • 제29권1호
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    • pp.70-77
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    • 2015
  • The purpose of this study was to provide fundamental data for an anchor collision simulation of an FCM (flexible concrete mattress). Numerical material models (elastic-perfectly plastic model, Drucker-Prager model, and RHT concrete model) were compared. ANSYS Explicit Dynamics was used for collision analyses. An FE model was used for the anchor, FCM, andreinforcement bars. The results showed that the behavior of the FCM was verydifferent that those ofthe material models. In particular, the effect of the pressure dependent strength was most noticeable among the properties of concrete.

Stress analysis of rotating annular hyperbolic discs obeying a pressure-dependent yield criterion

  • Jeong, Woncheol;Chung, Kwansoo
    • Structural Engineering and Mechanics
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    • 제58권4호
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    • pp.689-705
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    • 2016
  • The Drucker-Prager yield criterion is combined with an equilibrium equation to provide the elastic-plastic stress distribution within rotating annular hyperbolic discs and the residual stress distribution when the angular speed becomes zero. It is verified that unloading is purely elastic for the range of parameters used in the present study. A numerical technique is only necessary to solve an ordinary differential equation. The primary objective of this paper is to examine the effect of the parameter that controls the deviation of the Drucker-Prager yield criterion from the von Mises yield criterion and the geometric parameter that controls the profile of hyperbolic discs on the stress distribution at loading and the residual stress distribution.

Asymptotic analysis of Mohr-Coulomb and Drucker-Prager soft thin layers

  • Lebon, F.;Ronel-Idrissi, S.
    • Steel and Composite Structures
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    • 제4권2호
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    • pp.133-147
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    • 2004
  • This paper deals with the asymptotic analysis of Mohr-Coulomb and Drucker-Prager soft thin layers bonded with elastic solids. In the first part, a mathematical analysis shows how to obtain an interface law that replaces mechanically and geometrically the thin layer. This law is strongly non-linear and couples microscopic and macroscopic scales. In the second part of the paper, the microscopic terms are quantified numerically, and it is shown that they can be neglected.

습윤상태를 고려한 불포화 토사사면의 불안정성 해석 (Instability Analysis of Unsaturated Soil Slope Considering Wet Condition)

  • 김용민;김재홍
    • 대한토목학회논문집
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    • 제33권4호
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    • pp.1489-1498
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    • 2013
  • 본 연구에서는 불포화 사면에서 선행강우의 영향을 고려하고자 지반의 초기 포화도를 3가지(36, 51, 77%)로 설정하여 수리학적-역학적 동시 유한요소해석(monolithically coupled finite element analysis)을 수행하였다. 선행강우에 의한 불포화 사면의 불안정성은 사면 내 모관흡수력 분포와 사면표층의 변위를 통하여 확인할 수 있다. 또한 Drucker-Prager model의 항복경계기준(trial failure criterion)을 적용하여 강우 침투에 의한 불포화 사면의 탄성 및 소성거동을 파악하였다. 그 결과, 선행강우에 의한 지반의 초기 포화도가 클수록 강우에 의한 변위가 크게 발생하며 모관흡수력 또한 감소한다. 특히, 모관흡수력은 지반이 건조할수록 빠르게 감소하며, 초기에 동일한 모관흡수력을 갖는 사면표층에서 포화도가 작은 지반일수록 더 빠른 모관흡수력 감소를 보였다. 풍화토의 탄성과 소성거동을 구분하기 위해 사용된 Drucker-Prager model을 통해 사면 파괴가 시작되는 항복경계지점을 확인 할 수 있었다.

Quantitative impact response analysis of reinforced concrete beam using the Smoothed Particle Hydrodynamics (SPH) method

  • Mokhatar, S.N.;Sonoda, Y.;Kueh, A.B.H.;Jaini, Z.M.
    • Structural Engineering and Mechanics
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    • 제56권6호
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    • pp.917-938
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    • 2015
  • The nonlinear numerical analysis of the impact response of reinforced concrete/mortar beam incorporated with the updated Lagrangian method, namely the Smoothed Particle Hydrodynamics (SPH) is carried out in this study. The analysis includes the simulation of the effects of high mass low velocity impact load falling on beam structures. Three material models to describe the localized failure of structural elements are: (1) linear pressure-sensitive yield criteria (Drucker-Prager type) in the pre-peak regime for the concrete/mortar meanwhile, the shear strain energy criterion (Von Mises) is applied for the steel reinforcement (2) nonlinear hardening law by means of modified linear Drucker-Prager envelope by employing the plane cap surface to simulate the irreversible plastic behavior of concrete/mortar (3) implementation of linear and nonlinear softening in tension and compression regions, respectively, to express the complex behavior of concrete material during short time loading condition. Validation upon existing experimental test results is conducted, from which the impact behavior of concrete beams are best described using the SPH model adopting an average velocity and erosion algorithm, where instability in terms of numerical fragmentation is reduced considerably.

TAFEM을 이용한 터널 예제 해석

  • 조선규;정재동;엄종욱
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1991년도 추계학술발표회 논문집 지반공학에서의 컴퓨터 활용 COMPUTER UTILIZATION IN GEOTECHNICAL ENGINEERING
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    • pp.216-232
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    • 1991
  • This Finite Element Program(TAFEM) has been developed to be able to carry out the structural analsis of tunnel section and simulate the surrounding ground behaviour due to New Austrian Tunnelling Method, of which main support is the surrounding ground, itself. The Elasto-plastic theory has been applied. The used finite elements are 8-noded isoparametric element(rock & shotcrete), 2 or 3-noded rod element(rock bolt) and infinite boundary element. The load incremental method and tangential stiffness method has been used. Associated flow rule was applied to plastic flow and yield criteria inclued not only Mohr-Coulomb but also Drucker-Prager. In this paper, Drucker-Prager yield criterion has been used. The relationship between plastic strain and stress is based on the incremental strain concept and stress-strain equation on the basis of the stress path of each gauss point has been adopted. It may be rational that rock is considered to be no-tension material, so that no-tension analysis has been adopted in accordance with the brittle fracture constitutive equation.

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프리스트레스 콘크리트 격납건물 1/4 축소모델의 비탄성응력해석 (Inelastic Stress Analysis of 1/4 Scale Prestressed Concrete Containment Vessel Model)

  • 이홍표;전영선;신재철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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    • pp.301-308
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    • 2004
  • The present study mainly focuses on the inelastic stress analysis of the 1/4 scale prestressed concrete containment vessel model(PCCV) under internal pressure and evaluates not only failure mode but also ultimate pressure capacity of the PCCV. Inelastic analysis is carried out 2D axisymmertic FE model and 3D FE model using four concrete material models which are Drucker-Prager Model, Chen-Chen Model, Damaged Plasticity Model and Menetrey-Willam Model. The uplift phenomenon of the basemat is considered in the 2D axisymmetric FE models. It is found from the 2D axisymmetric analysis results that both of Drucker-Prager model and Damaged Plasticity Model have a good performance and the uplift of the basemat is too small to influence on the global behavior of the PCCV. The FE analysis results on the ultimate pressure and failure mode have a good agreement with experimental results.

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냉간압축 하에서 실리콘 카바이드 분말의 치밀화해석 (Densification Analysis for SiC Powder under Cold Compaction)

  • 박환;김기태
    • 한국세라믹학회지
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    • 제37권6호
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    • pp.589-595
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    • 2000
  • Densification behavior of SiC powder was investigated under cold compaction. A special form of the Cap model was proposed from experimental data of SiC powder under triaxial compression. To compare with experimental data of SiC powder under cold compaction, the proposed constitutive model was implemented into a finite element program (ABAQUS). Finite element calculations from the Cam-Clay model and the modified Drucker-Prager model were also compared with experimental data of SiC powder. The agreements between experimental data and finite element results obtained from the proposed constitutive model are reasonably good. In die pressing, finite element results obtained from the Cam-Clay model and the modified Drucker-Prager model, however, show lower average density of SiC powder compacts compared to experimental data.

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