• Title/Summary/Keyword: hardening rule

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An elastoplastic bounding surface model for the cyclic undrained behaviour of saturated soft clays

  • Cheng, Xinglei;Wang, Jianhua
    • Geomechanics and Engineering
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    • v.11 no.3
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    • pp.325-343
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    • 2016
  • A total stress-based bounding surface model is developed to predict the undrained behaviour of saturated soft clays under cyclic loads based on the anisotropic hardening modulus field and bounding-surface theories. A new hardening rule is developed based on a new interpolation function of the hardening modulus that has simple mathematic expression and fewer model parameters. The evolution of hardening modulus field is described in the deviatoric stress space. It is assumed that the stress reverse points are the mapping centre points and the mapping centre moves with the variation of loading and unloading paths to describe the cyclic stress-strain hysteresis curve. In addition, by introducing a model parameter that reflects the accumulation rate and level of shear strain to the interpolation function, the cyclic shakedown and failure behaviour of soil elements with different combinations of initial and cyclic stresses can be captured. The methods to determine the model parameters using cyclic triaxial compression tests are also studied. Finally, the cyclic triaxial extension and torsional shear tests are performed. By comparing the predictions with the test results, the model can be used to describe undrained cyclic stress-strain responses of elements with different stress states for the tested clays.

Finite Element Analysis of Soil Excavation Using an Anisotropic Hardening Constitutive Model (비등방 경화 지반모델을 적용한 굴착지반의 유한요소해석)

  • 오세붕;이승래
    • Proceedings of the Korean Geotechical Society Conference
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    • 1994.09a
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    • pp.123-128
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    • 1994
  • For the proper analysis of soil excavation problems through FEM, a constitutive model should be able to simulate the real soil behavior, especially around the excavated section. In this study, the nenlinear finite element analysis is performed using an anisotropic hardening constitutive model based on 'generalized isotropic hardening' rule. Furthermore, in order that the implementation of this constitutive model is performed consistently with the iterative algorithm for the numerical analysis, stresses are implicitly intergrated by the closest point projection algorithm, and a consistent tangent modulus is evaluated. An excavation example including various loading esquences is analyzed, and the results are compared with the Cam-clay model.

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Determination of Flow Stress and Friction Factor by the Ring Compression Test (II) (링압축실험에 의한 유동응력 및 마찰인자의 결정 (II))

  • 최영민;김낙수
    • Transactions of Materials Processing
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    • v.3 no.2
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    • pp.215-228
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    • 1994
  • The purpose of this paper is to pursue a general method to determine both the flow stress of a material and the friction factor by ring compression test. The materials are assumed to obey the expanded n-power hardening rule including the strain-rate effect. Ring compression is simulated by the rigid-plastic finite element method to obtain the database used in determining the flow stress and friction factor. The Simulation is conducted for various strain hardening exponent, strain-rate sensitivity, friction factor, and compressing speed, as variables. It is assumed that the friction factor is constant during the compression process. To evaluate the compatibility of the database, experiments are carried out at room and evaluated temperature using specimens of aluminum 6061-T6 under dry and grease lubrication condition. It is shown that the proposed test method is useful and easy to use in determining the flow stress and the friction factor.

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Mechanical Analysis of 3D Circular Braided Glass Fiber Reinforced Composites Using Elastic-Plastic Constitutive Equations (탄소성 구성 방정식을 이용한 삼차원 브레이드 복합재료의 역학적 해석)

  • Ryou Hansun;Lee Myoung-Gyu;Kim Jihoon;Chung Kwansoo
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.10a
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    • pp.147-150
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    • 2004
  • In order to describe the mechanical behavior of highly anisotropic and asymmetric materials such as fiber­reinforced composites, the elastic-plastic constitutive equations were used here based on the recently developed yield criterion and hardening laws. As for the yield criterion, modified Drucker-Prager yield surface was used to represent the orthotropic and asymetric properties of composite materials, while the anisotropic evolution of back­stress was accounted for the hardening behavior. Experimental procedures to obtain the material parameters of the hardening laws and yield surface are presented for 3D Circular Braided Glass Fiber Reinforced Composites. For verification purpose, comparisons of finite element simulations using the elastic-plastic constitutive equations, anisotropic elastic constitutive equations and experiments were performed for the three point bending tests. The results of finite element simulations showed good agreements with experiments, especially for the elastic-plastic constitutive equations with yield criterion considering anisotropy as well as asymmetry and anisotropic back stress evolution rule.

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An Implicit Stress Integration for the Constitutive Relationship of Clays (점토의 구성관계에 대한 내재적인 응력적분)

  • 오세붕
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.92-98
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    • 1998
  • Nonlinear finite element analyses of one dimensional consolidation problem were performed using an anisotropic hardening constitutive model. For the analyses, the anisotropic hardening elasto-plastic constitutive model based on the generalized isotropic hardening(GIH) rule was implemented into a nonlinear finite element analysis program, PLASTIC. In order to preserve the accuracy of the finite element solution for nonlinear problems, an implicit stress integration algorithm was employed. A consistent tangent moduli could also ensure the quadratic convergence of Newton's method. As a result, the nonlinear solution was accurately calculated and was converged to be asymptotically quadratic. In a consolidation problem, the relationship between load and settlement and between settlement and time vertical was analyzed comparing with results using the Cam-clay type model and the final consolidation settlement and the duration of primary consolidation could be evaluated rigorously using the GIH constitutive model.

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A Numerical Investigation on the Rule of Mixtures for the Mechanical Properties of Composites with Homogeneously Distributed Particles (입자가 균일하게 분포된 복합체의 기계적 성질과 혼합률에 관한 수치적 연구)

  • 김형섭
    • Transactions of Materials Processing
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    • v.10 no.5
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    • pp.396-401
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    • 2001
  • The concept of the mixtures can be used not only in the composites but also in the materials with precipitates and matrix. In this investigation, the finite element method of axisymmetric unit cell models and the rule of mixtures of the Voigt and the Reuss models are used to analyze the overall mechanical response of composites with homogeneously distributed particles. The calculations have been cameo out by taking the materials as i) hardening and ii) perfect plastic materials. The Plastic properties are predicted for various volume fractions of the soft and hard particles. The computational results are compared with the results of the rule of mixtures. It is found that the plastic flow curves agree well with the Voigt model when the volume fraction of the particles is high. On the other hand, the calculated flow curves exist between the Voigt model and the Reuss model when the volume fraction of the particles is low.

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Implicit Stress Integration of the Generalized Isotropic Hardening Constitutive Model : II . Verification (일반 등방경화 구성관계에 대한 내재적인 음력적분 : II. 검증)

  • 오세붕;이승래
    • Geotechnical Engineering
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    • v.12 no.6
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    • pp.87-100
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    • 1996
  • This paper verifies the accuracy and efficiency of the implicit stress integration algorithm for an anisotropic hardening constitutive model developed in a companion paper[Oh & Lee (1996)3. Simulation of undrained triaxial test results shows the accuracy of the method through an error estimation, and analyses of accuracy and convergence were performed for a numerical excavation problem. As a result, the stress was accurately integrated by the algorithm and the nonlinear solution was converged to be asymptotically quadratic. Furthermore nonlinear FE analysis of a real excavation problem was by performed considering the initial soil conditions and the in-situ construction sequences. The displacements of wall induced by excavation were more accurately estimated by the anisotropic hardening model than by the Cam-clay model.

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Undrained Analysis of Soft Clays Using an Anisotropic Hardening Constitutive Model: II. Numerical Analysis (비등방경화 구성모델을 적용한 연약 지반의 비배수 거동 해석 : II. 수치해석)

  • 오세붕
    • Journal of the Korean Geotechnical Society
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    • v.15 no.6
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    • pp.131-142
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    • 1999
  • The objective of this study is to perform finite element analyses using the anisotropic hardening constitutive model on the basis of the total stress concept. An anisotropic hardening constitutive model had been developed in a companion paper, and was then formulated by implicit stress integration and consistent tangent moduli. A nonlinear finite element analysis program was coded including the algorithm, and as a result, the nonlinear solution was accurately calculated and converged to be asymptotically quadratic. In the analysis of a test embankment it was found that the proposed model could predict the displacement of soils more reasonably than the analysis with von Mises type model. In addition the proposed model could predict accurately the actual behavior through the reanalysis of the problem by a reasonable evaluation of the strength parameter.

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Spring-back Evaluation of Automotive Sheets Based on Combined Isotropic-Kinematic Hardening Rule (혼합 등방-이동 경화규칙에 기초한 자동차용 알루미늄합금 및 Dual-Phase 강 판재의 스프링백 예측)

  • ;;;Chongmin kim;Michael L. Wenner
    • Transactions of Materials Processing
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    • v.13 no.1
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    • pp.15-20
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    • 2004
  • In order to evaluate spring-back behavior in automotive sheet forming processes, a panel shape idealized as a double S-rail has been investigated. After spring-back has been predicted for double S-rails using the finite element analysis, results has been compared with experimental measurements for three automotive sheets. To account for hardening behavior such as the Bauschinger and transient effects in addition to anisotropic behavior, the combined isotropic-kinematic hardening law based on the Chaboche type model and a recently developed non-quadratic anisotropic yield function have been utilized, respectively.

Large Deformation Formulation of a Hypoelasto-plastic Constitutive Model for Soils (흙의 속도형식 탄소성구성모델에 대한 대변형도 정식화)

  • Oh, Se-Boong;Lee, Seung-Hyun;Kwon, Oh-Kyun
    • Journal of the Korean Geotechnical Society
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    • v.19 no.4
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    • pp.277-286
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    • 2003
  • A constitutive equation was implemented in order to model the behavior in overall ranges from small to large strains, which is based on anisotropic hardening rule and total stress concept. The constitutive model was implemented in ABAQUS code in which large deformation analysis can be performed accurately and efficiently. The formulation includes (1) finite strain plasticity on the basis of Jaumann stress rate, (2) implicit stress integration and (3) consistent tangent moduli. A large deformation analysis was performed with the constitutive model using ABAQUS program. In the analysis of an actual embankment, it was found that the proposed model was formulated accurately and efficiently.