• 제목/요약/키워드: Constitutive Equation

검색결과 472건 처리시간 0.027초

Formulation for the Parameter Identification of Inelastic Constitutive Equations

  • Lee, Joon-Seong;Bae, Byeong-Gyu;Hurukawa, Tomonari
    • 한국전산구조공학회논문집
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    • 제23권6호
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    • pp.627-633
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    • 2010
  • This paper presents a method for identifying the parameter set of inelastic constitutive equations, which is based on an Evolutionary Algorithm. The advantage of the method is that appropriate parameters can be identified even when the measured data are subject to considerable errors and the model equations are inaccurate. The design of experiments suited for the parameter identification of a material model by Chaboche under the uniaxial loading and stationary temperature conditions was first considered. Then the parameter set of the model was identified by the proposed method from a set of experimental data. In comparison to those by other methods, the resultant stress-strain curves by the proposed method correlated better to the actual material behaviors.

등방성 손상을 고려한 탄소성 대변형 문제의 유한요소해석(제1보) -탄소성 손상 구성방정식 개발- (Finite Element Analysis of Elasto-Plastic Large Deformation considering the Isotropic Damage (the 1st Report) -Development of Elasto-Plastic Damage Constitutive Model-)

  • 노인식
    • 한국해양공학회지
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    • 제14권2호
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    • pp.70-75
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    • 2000
  • In this paper a new constitutive model for ductile materials was proposed. This model can describe the material degradation due to the evolution of isotropic damage during elasto-platic deformation. The plastic flow rule was derived under the framework of thermodynamic approach of continuum damage mechanics(CDM) in which plastic strain hardening parameters and isotropic damage were taken as thermodynamic state variables. And the process to determine material constants for constitutive model using an experimental data was presented.

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연약지반 변형해석을 위한 다목적 Program개발

  • 박병기;정진섭
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1991년도 추계학술발표회 논문집 지반공학에서의 컴퓨터 활용 COMPUTER UTILIZATION IN GEOTECHNICAL ENGINEERING
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    • pp.362-375
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    • 1991
  • Background and Necessity of the study : For more than 20 years, the soil engineering reserach group of Chonnam National University has been performing the deformation analysis of soft clayey foundation, since the University is located near the south-western coast of Korean Peninsulla, along which tide reclamation works have been under proaressing. Associsted with the fact mentioned above, the researchers have been developing a computer program in order to carry out deformation analysis of soft foundation since early 1980. Case-studies : In this research, the Biot's equation was selected as the governing equation coupled with several constitutive models including original and modified Cam-clay models, elasto-viscoplastic model, Lade's model etc. The anisotropy of soi1 can be considered in this program. To validate the accuracy of the computer program developed a couple of case-studies were performed. These include the pilot banking, sand drain considering smear effect and compound foundation reinforced with sheet pile into soft foundation.i) The pilot banking Good results could be acquired by assuming banking load as the body force composed of finite element mesh rather than equivalent concentrated load.ii) The sand drain Due to smear, the delay of consolidation was remarkable at the early stsge. so safety for the failure of foundation should be checked for the initial step of consolidation. iii) The compound foundation Accurate results were obtained by introducing the joint element method for the soft foundation reinforced with sheet pile into soiㅣ.

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탄.소성구성식에 의한 점토지반의 거동해석(II) -2차원 모형지반의 수치해석을 중심으로- (A Behaviour of Clayey Foundation Using Elasto-plastic Constitutive Model -With an Emphasis on the Numerical Analysis of 2-dimensional Model Foundation-)

  • 이윤수;이광동;오재화
    • 한국농공학회지
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    • 제36권1호
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    • pp.83-94
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    • 1994
  • The first part of this study dealt with the determination of soil parameters for Lade's double work-hardening model using the raw data obtained from cubical and cylinderal triaxial tests At present, it should be investigated which test can simulated satisfactorily the behavior of soft clayey foundation. In this regard, plate bearing test on the 2-dimentional model foundation(218cm long, 40cm wide, 19&m high) was performed, and finite element analysis carried out to abtain the behavior of the foundation. Settlement, lateral displacement, displacement vector and mode of failure were measured and these values were compared with numerical values in order to validate the numerical program developed by authors. The FEM technique was based on Christain-Boehmer's method, in which the displacement is obtained at each nodal point while stress and pore water pressure at each element.In this research, Biot's equation, which explains was elahorately the phisical meaning of consolidation, was selected, as a governing equation, coupled with Lade's double surface work-hardening constitutive model.

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통일구성방정식을 이용한 구조물의 열점소성 거동에 관한 해석 (Analysis of Thermo-Viscoplastic Behavior of Structures Using Unified Constitutive Equations)

  • 윤성기;이주진
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.190-200
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    • 1991
  • 본 연구에서는 고온에 노출되는 열-점소성 거동의 해석을 위해 소성유동, 크 리프, 응력풀림(stress relaxation)등의 거동을 동시에 다룰 수 있는 통일구성방정식 모델에 대해 논하고 적절한 모델을 선정한다. 이 모델은 미소변형이론에 근거한 것 이므로 구조물의 거동을 소변형률(small strain)과 소회전(small rotation)의 범위내 로 가정하여 해석한다.선정된 모델에 대해서 시간변화율 형태의 방정식으로부터 유 한요소법을 통한 수치화와 사용된 구성방정식을 효율적으로 처리할 수 있는 수치해석 법상의 알고리듬을 제안한다. 제안된 알고리즘을 사용하여 유한요소법 전산코드를 적상하고, 작성된 코드를 이용하여 고온에서 하중을 받는 단순보와 국부적으로 심한 가열을 받는 구조물에 적용하여 고전적인 구성방정식으로 복합적인 해석이 어려웠던 열-점소성 거동을 효과적으로 해석할 수 있음을 보인다. 본 논문은 응력해석에 주안 점을 두었으므로 열해석에 관한 상세한 논의는 가급적 생략하기로 한다.

C]RASH ANALYSIS OF AUTO-BODY STRUCTURES CONSIDERING THE STRAIN-RATE HARDENING EFFECT

  • Kang, W.J.;Huh, H.
    • International Journal of Automotive Technology
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    • 제1권1호
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    • pp.35-41
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    • 2000
  • The crashworthiness of vehicles with finite element methods depends on the geometry modeling and the material properties. The vehicle body structures are generally composed of various members such as frames, stamped panels and deep-drawn parts from sheet metals. In order to ensure the impact characteristics of auto-body structures, the dynamic behavior of sheet metals must be examined to provide the appropriate constitutive relation. In this paper, high strain-rate tensile tests have been carried out with a tension type split Hopkinson bar apparatus specially designed for sheet metals. Experimental results from both static and dynamic tests with the tension split Hopkinson bar apparatus are interpolated to construct the Johnson-Cook and a modified Johnson-Cook equation as the constitutive relation, that should be applied to simulation of the dynamic behavior of auto-body structures. Simulation of auto-body structures has been carried out with an elasto-plastic finite element method with explicit time integration. The stress integration scheme with the plastic predictor-elastic corrector method is adopted in order to accurately keep track of the stress-strain relation for the rate-dependent model accurately. The crashworthiness of the structure with quasi-static constitutive relation is compared to the one with the rate-dependent constitutive model. Numerical simulation has been carried out for frontal frames and a hood of an automobile. Deformed shapes and the Impact energy absorption of the structure are investigated with the variation of the strain rate.

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

  • Oh, Se-Boong;Lee, Seung-Hyun;Kwon, Oh-Kyun
    • 한국지반공학회논문집
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    • 제19권4호
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    • pp.277-286
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    • 2003
  • 미소변형에서 대변형에 이르는 전변형도 영역의 거동을 모델하기 위하여 비등방 경화규칙과 전응력개념에 의거한 구성관계를 이용하였다. 이러한 구성관계는 ABAQUS 코드에 구현되었으며 대변형해석시 정확도와 수렴속도를 확보하도록 하였다. 이 정식화는 Jaumann 응력속도에 의거한 유한 변형도 소성론, 내재적 응력적분, 일관된 접선계수를 포함한다. ABAQUS를 이용한 대변형해석을 통하여 알고리즘의 정확도 및 수렴도 해석을 할 수 있었다.

변형구배 결정소성 유한요소해석법을 이용한 니켈기 다결정 합금의 Hall-Petch 관계 모델링 (Modeling the Hall-Petch Relation of Ni-Base Polycrystalline Superalloys Using Strain-Gradient Crystal Plasticity Finite Element Method)

  • 최윤석;조경목;남대근;최일동
    • 한국재료학회지
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    • 제25권2호
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    • pp.81-89
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    • 2015
  • A strain-gradient crystal plasticity constitutive model was developed in order to predict the Hall-Petch behavior of a Ni-base polycrystalline superalloy. The constitutive model involves statistically stored dislocation and geometrically necessary dislocation densities, which were incorporated into the Bailey-Hirsch type flow stress equation with six strength interaction coefficients. A strain-gradient term (called slip-system lattice incompatibility) developed by Acharya was used to calculate the geometrically necessary dislocation density. The description of Kocks-Argon-Ashby type thermally activated strain rate was also used to represent the shear rate of an individual slip system. The constitutive model was implemented in a user material subroutine for crystal plasticity finite element method simulations. The grain size dependence of the flow stress (viz., the Hall-Petch behavior) was predicted for a Ni-base polycrystalline superalloy NIMONIC PE16. Simulation results showed that the present constitutive model fairly reasonably predicts 0.2%-offset yield stresses in a limited range of the grain size.

공구강의 고온 변형 거동 예측을 위한 모델 비교 연구 (Comparison Study of Prediction Models for Hot Deformation Behavior of Tool Steel)

  • 김근학;박동성;전중환;이민하;이석재
    • 열처리공학회지
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    • 제31권4호
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    • pp.180-186
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    • 2018
  • High temperature flow behaviors of Fe-Cr-Mo-V-W-C tool steel were investigated using isothermal compression tests on a Gleeble simulator. The compressive test temperature was varied from 850 to $1,150^{\circ}C$ with the strain rate ranges of 0.05 and $10s^{-1}$. The maximum height reduction was 45%. The dynamic softening related to the dynamic recrystallization was observed during hot deformation. The constitutive model based on Arrhenius-typed equation with the Zener-Hollomon parameter was proposed to simulate the hot deformation behavior of Fe-Cr-Mo-V-W-C steel. An artificial neural network (ANN) model was also developed to compare with the constitutive model. It was concluded that the ANN model showed more accurate prediction compared with the constitutive model for describing the hot compressive behavior of Fe-Cr-Mo-V-W-C steel.

MLS차분법을 이용한 재료비선형 문제 해석 (Development of MLS Difference Method for Material Nonlinear Problem)

  • 윤영철
    • 한국전산구조공학회논문집
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    • 제29권3호
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    • pp.237-244
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    • 2016
  • 본 연구는 재료비선형 문제를 다루기 위한 비선형 MLS 차분법의 정식화 과정을 제시한다. MLS 차분법은 절점모델을 기반으로 고속 미분근사식을 활용하여 지배 미분방정식을 직접 이산화 하는데, 변수를 변위로 일원화한 Navier 방정식을 사용하여 탄성재료 문제를 다룬 기존의 MLS 차분법은 재료의 구성방정식을 별도로 고려할 수 없다. 본 연구에서는 비선형 재료의 구성방정식을 반영할 수 있는 강정식화를 위해 1차 미분근사를 반복 사용하는 겹미분근사를 고안했다. 응력의 발산으로 표현되는 평형방정식을 그대로 이산화하고 Newton 방법을 적용하여 반복계산을 통해 수렴해를 찾는 비선형 알고리즘을 제시했다. 응력 계산과 내부변수의 갱신은 return mapping 알고리즘을 활용하였고, 알고리즘 접선계수(algorithmic tangent modulus)의 적용을 통해 빠르고 안정적인 반복계산이 가능하도록 하였다. 재생성 시험을 통해 겹미분근사의 정당성을 검증했고, 비선형재료에 대한 인장문제의 해석을 통해 개발된 비선형 MLS 차분 알고리즘의 정확성과 안정성을 확인하였다.