• 제목/요약/키워드: Drucker-Prager

검색결과 91건 처리시간 0.028초

횡방향 재하 말뚝 주변의 널말뚝에 관한 변수연구 (A Parametric Study of Sheet Pile Wall Near the Laterally Loaded Pile)

  • 윤희정
    • 한국지반환경공학회 논문집
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    • 제13권8호
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    • pp.35-43
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    • 2012
  • 널말뚝을 해안지역이나 도심지역에 건설하는 경우 주변에 위치한 횡방향 재하 말뚝의 영향권 내에 존재하게 되는 경우가 발생하게 되지만, 기존 설계방법에서는 이러한 영향에 대하여 고려하고 있지 않다. 본 연구를 통해 말뚝에 횡방향 하중이 재하되는 경우 근접한 널말뚝에 미치는 영향을 정량적으로 예측할 수 있는 방법을 제안하고자 한다. 상용프로그램인 ABAQUS를 이용하여 3차원 유한요소 모델을 만들었으며 지반 구성모델로는 Drucker-Prager 모델, 널말뚝과 말뚝은 선형탄성으로 거동하도록 모사하였다. 널말뚝의 휨강성, 말뚝과 널말뚝 간의 거리, 굴착깊이, 그리고 지반의 탄성계수 등 총 4가지 변수들을 사용하여 횡방향 재하 말뚝이 주변 널말뚝에 미치는 영향을 분석해 보았다. 수치해석 결과를 이용하여 널말뚝에 발생하는 최대 횡방향 변위 및 휨모멘트를 측정할 수 있는 간단한 식을 제시하였다.

Coupling non-matching finite element discretizations in small-deformation inelasticity: Numerical integration of interface variables

  • Amaireh, Layla K.;Haikal, Ghadir
    • Coupled systems mechanics
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    • 제8권1호
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    • pp.71-93
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    • 2019
  • Finite element simulations of solid mechanics problems often involve the use of Non-Confirming Meshes (NCM) to increase accuracy in capturing nonlinear behavior, including damage and plasticity, in part of a solid domain without an undue increase in computational costs. In the presence of material nonlinearity and plasticity, higher-order variables are often needed to capture nonlinear behavior and material history on non-conforming interfaces. The most popular formulations for coupling non-conforming meshes are dual methods that involve the interpolation of a traction field on the interface. These methods are subject to the Ladyzhenskaya-Babuska-Brezzi (LBB) stability condition, and are therefore limited in their implementation with the higher-order elements needed to capture nonlinear material behavior. Alternatively, the enriched discontinuous Galerkin approach (EDGA) (Haikal and Hjelmstad 2010) is a primal method that provides higher order kinematic fields on the interface, and in which interface tractions are computed from local finite element estimates, therefore facilitating its implementation with nonlinear material models. The inclusion of higher-order interface variables, however, presents the issue of preserving material history at integration points when a increase in integration order is needed. In this study, the enriched discontinuous Galerkin approach (EDGA) is extended to the case of small-deformation plasticity. An interface-driven Gauss-Kronrod integration rule is proposed to enable adaptive enrichment on the interface while preserving history-dependent material data at existing integration points. The method is implemented using classical J2 plasticity theory as well as the pressure-dependent Drucker-Prager material model. We show that an efficient treatment of interface variables can improve algorithmic performance and provide a consistent approach for coupling non-conforming meshes in inelasticity.

A new extended Mohr-Coulomb criterion in the space of three-dimensional stresses on the in-situ rock

  • Mohatsim Mahetaji;Jwngsar Brahma;Rakesh Kumar Vij
    • Geomechanics and Engineering
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    • 제32권1호
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    • pp.49-68
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    • 2023
  • The three-dimensional failure criterion is essential for maintaining wellbore stability and sand production problem. The convenient factor for a stable wellbore is mud weight and borehole orientation, i.e., mud window design and selection of borehole trajectory. This study proposes a new three-dimensional failure criterion with linear relation of three in-situ principal stresses. The number of failure criteria executed to understand the phenomenon of rock failure under in-situ stresses is the Mohr-Coulomb criterion, Hoek-Brown criterion, Mogi-Coulomb criterion, and many more. A new failure criterion is the extended Mohr-Coulomb failure criterion with the influence of intermediate principal stress (σ2). The influence of intermediate principal stress is considered as a weighting of (σ2) on the mean effective stress. The triaxial compression test data for eleven rock types are taken from the literature for calibration of material constant and validation of failure prediction. The predictions on rock samples using new criteria are the best fit with the triaxial compression test data points. Here, Drucker-Prager and the Mogi-Coulomb criterion are also implemented to predict the failure for eleven different rock types. It has been observed that the Drucker-Prager criterion gave over prediction of rock failure. On the contrary, the Mogi-Coulomb criterion gave an equally good prediction of rock failure as our proposed new 3D failure criterion. Based on the yield surface of a new 3D linear criterion it gave the safest prediction for the failure of the rock. A new linear failure criterion is recommended for the unique solution as a linear relation of the principal stresses rather than the dual solution by the Mogi-Coulomb criterion.

A fully coupled thermo-poroelastoplasticity analysis of wellbore stability

  • Zhu, Xiaohua;Liu, Weiji;Zheng, Hualin
    • Geomechanics and Engineering
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    • 제10권4호
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    • pp.437-454
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    • 2016
  • Wellbore instability problem is one of the main problems that met frequently during drilling, particularly in high temperature, high pressure (HPHT) formations. There are large amount of researches about wellbore stability in HPHT formations, which based on the thermo-poroelastic theory and some achievements were obtained; however, few studies have investigated on the fully coupled thermo-poroelastoplasticity analysis of wellbore stability, especially the analysis of wellbore stability while the filter cake formed. Therefore, it is very necessary to do some work. In this paper, the three-dimensional wellbore stability model which overall considering the effects of fully coupled thermo-poroelastoplasticity and filter cake is established based on the finite element method and Drucker-Prager failure criterion. The distribution of pore pressure, wellbore stress and plastic deformation under the conditions of different mud pressures, times and temperatures have been discussed. The results obtained in this paper can offer a great help on understanding the distribution of pore pressure and wellbore stress of wellbore in the HPHT formation for drilling engineers.

Composed material models for nonlinear behavior of reinforced concrete

  • Dede, Tayfun;Ayvaz, Yusuf
    • Computers and Concrete
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    • 제12권3호
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    • pp.303-318
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    • 2013
  • The purpose of this study is to present different composed material models for reinforced concrete structures (RC). For this aim a nonlinear finite element analysis program is coded in MATLAB. This program contains several yield criteria and stress-strain relationships for compression and tension behavior of concrete. In this study, the well-known criteria, Drucker-Prager, von Mises, Mohr Coulomb, Tresca, and two new criteria, Hsieh-Ting-Chen and Bresler-Pister, are taken into account. It is concluded that the coded program, the new yield criteria, and the models considered can be effectively used in the nonlinear analysis of reinforced concrete beams.

표준 8절점 고체요소를 이용한 원전 격납건물 벽체요소의 비선형해석 (Nonlinear Analysis of Nuclear Containment Wall Element using Standard 8-node Solid Element)

  • 이홍표;전영선
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.151-158
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    • 2005
  • For the safety analysis of large structures such as nuclear containment buildings, we conventionally prefer to use analytical approach using finite element method rather than empirical test. Therefor, this paper is mainly focused to develop low-order solid finite element model with the elasto-plastic material model for the safety analysis of nuclear containment building. Drucker-Prager failure criteria in uncracked concrete and maximum tensile stress criteria in cracked concrete are used to model the constitutive behavior of concrete. The concrete material model takes into account the aspects of tensile strain, compression strength reduction of concrete and shear transfer to improve the accuracy of the finite element analysis. Finally, numerical simulation to compare the performance of the developed model with experimental results is employed. The numerical results in this study agree very well with the experimental data.

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Compressive behavior of reinforced concrete columns confined by multi-spiral hoops

  • Chen, Y.;Feng, J.;Yin, S.
    • Computers and Concrete
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    • 제9권5호
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    • pp.341-355
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    • 2012
  • Numerical studies are performed to predict the stress-strain behavior of rectangular RC columns confined by multi-spiral hoops under axial and eccentric compressions. Using the commercial finite element package ABAQUS, the Drucker-Prager criterion and the yield surface are adopted for damaged plasticity concrete. The proposed finite element models are compared with the published experimental data. Parametric studies on concrete grades, confinement arrangement, diameter and spacing of hoops and eccentricity of load are followed. Numerical results have shown good agreements with experimental values, and indicated a proper constitutive law and model for concrete. Cross-sectional areas and spacing of the hoops have significant effect on the bearing capacity. It can be concluded that rectangular RC columns confined by multi-spiral hoops show better performance than the conventional ones.

Constitutive Model for a Confined Concrete Cylinder with an Unbonded External Steel Jacket

  • Roh, Young-Sook
    • Architectural research
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    • 제17권1호
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    • pp.41-48
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    • 2015
  • Early investigations focused mainly on manipulating the confinement effect to develop a reinforced concrete column with lateral hoops. Based on this legacy model, Li's model incorporated the additional confinement effect of a steel jacket. However, recent experiments on plain concrete cylinders with steel jackets revealed relatively large discrepancies in the estimates of strength enhancement and the post-peak behavior. Here, we describe a modified constitutive law for confined concrete with an unbonded external steel jacket in terms of three regions for the loading stage. We used a two-phase heterogeneous concrete model to simulate the uniaxial compression test of a $150mm{\times}300mm$ concrete cylinder with three thicknesses of steel jackets: 1.0 mm, 1.5 mm, and 2.0 mm. The proposed constitutive model was verified by a series of finite element analyses using a finite element program. The damaged plasticity model and extended Drucker-Prager model were applied and compared in terms of the level of pressure sensitivity for confinement in 3D. The proposed model yielded results that were in close agreement with the experimental results.

Finite element modeling of the influence of FRP techniques on the seismic behavior of historical arch stone bridge

  • Mahdikhani, Mahdi;Naderi, Melika;Zekavati, Mehdi
    • Computers and Concrete
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    • 제18권1호
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    • pp.99-112
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    • 2016
  • Since the preservation of monuments is very important to human societies, different methods are required to preserve historic structures. In this paper, 3D model of arch stone bridge at Pont Saint Martin, Aosta, Italy, was simulated by 1660 integrated separate stones using ABAQUS$^{(R)}$ software to investigate the seismic susceptibility of the bridge. The main objective of this research was to study a method of preservation of the historical stone bridge against possible earthquakes using FRP techniques. The nonlinear behavior model of materials used theory of plasticity based on Drucker-Prager yield criterion. Then, contact behavior between the block and mortar was modeled. Also, Seismosignal software was used to collect data related to 1976 Friuli Earthquake Italy, which constitutes a real seismic loading. The results show that, retrofitting of the arch stone bridge using FRP techniques decreased displacement of stones of spandrel walls, which prevents the collapse of stones.

축력을 받는 충전콘크리트 각형강관과 콘크리트-H형강 합성보 접합부의 유한요소 모델링에 관한 연구 (An Investigation into the Finite Element Modeling of Connections of Composited H-Beams and Concrete Filled S.H.S Columns Subjected to Compression)

  • 이종석;윤영조;김승현
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.230-238
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    • 1996
  • Recently, square hollow section (S.H.S) is frequently used for column and H-section for beam of steel building structures. The connection between S.H.S column and H-beam is found to weaken the rotational restraint of the joint. Several types of detail to overcome the problem have been suggested for the connection between concrete filled S.H.S column and concrete composited H-bean In this paper, modelling technique to monitor the behavior of the connections is proposed. Then, Drucker-Prager yield criteria is introduced to simulate yield behavior of in-fill concrete while Von-Mises was used in earlier works. Gap-elements are also introduced to simulate the interaction between S.H.S columns and the in-fill concrete as in privious papers. axial forces are applied to S.H.S columns and made to vary in intensity and eccentricity.

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