• Title/Summary/Keyword: constitutive equation

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유효응력에 근거한 불포화토의 역학적 구성모델 (Constitutive Model for Unsaturated Soils Based on the Effective Stress)

  • 신호성
    • 한국지반공학회논문집
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    • 제27권11호
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    • pp.55-69
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    • 2011
  • 다양한 지반공학적 문제들에서 불포화 상태의 중요성이 강조되면서, 불포화 지반의 열-수리-역학적 현상들에 대한 거동특성을 모사하기 위한 역학적 구성모델 개발이 진행되고 있다. 본 연구에서는 Bishop의 유효응력 정의에 근거한 불포화 지반의 역학적 탄소성 구성모델을 제시하였다. 유효응력에 근거한 구성관계는 유효응력과 온도를 주 변수로 증분 형식으로 표현되었으며, 이를 이용하여 응력 갱신과 강성 텐서를 산정하였다. 개발된 구성모델을 이용하여 THM 현상을 포함하는 불포화토의 1차원 거동, 불포화토의 삼축 압축시험, 그리고 고준위 방사성폐기물 시설의 완충재의 거동 특성에 관한 예제 해석을 수행하여 해의 안정성과 구성모델의 적용성에 대하여 논의하였다. 수치해석결과는 개발된 역학적 구성모델이 THM 현상의 매우 복잡한 거동을 효과적으로 모사할 수 있었으며, 일반적인 불포화토의 거동 해석뿐만 아니라 다양한 환경 조건하에서의 THM 거동 해석에 적용이 가능할 것으로 판단된다.

레이저 피닝 시뮬레이션을 통한 금속재료의 물성치 예측 (Prediction of the Constitutive Properties of Metal from Laser Peening Simulation)

  • 여인규;임현택;임종빈;정성호
    • 한국레이저가공학회지
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    • 제16권1호
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    • pp.15-19
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    • 2013
  • For numerical simulation of the deformation and residual stress development in metals during laser peening, the constitutive equations describing material behavior at various strain rates and plastic properties at high strain rate impact conditions are prerequisite. However, these parameters are often unknown for various engineering materials. In this study, the parameters of Johnson-Cook constitutive equation of duplex stainless steel were determined by comparing the residual stress profile predicted by numerical simulation using trial values and the measured residual stress profile with x-ray diffraction.

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에너지 흡수용 알루미늄 허니컴 재료의 압축거동 분석 및 설계 (An Analysis of Axial Crushing Behavior of Energy Absorbing Aluminum Honeycomb and Design of Cell Configuration)

  • 김중재;김상범;김헌영
    • 한국자동차공학회논문집
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    • 제9권5호
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    • pp.195-205
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    • 2001
  • The mechanical properties of aluminum honeycomb on the direction of axial crushing under quasistatic loading test was investigated. The crushing process was simulated numerically by full-scale finite element models. Simulations reproduce the experimental results both qualitatively as well as quantitatively. From the investigation, we suggested the constitutive model of energy absorbing honeycomb structure for large scale impact analysis. Real impact test of the WB(Moving Deformable Barrier) was carried and compared with finite element simulation. Constitutive model used in the numerical simulation had a good correlation with experiment. By suggesting the optimizing method fur honeycomb cell configuration design, relationship between cell configuration and crush strength is studied.

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나노 구리 분말의 냉간정수압 공정에 대한 치밀화 거동 해석 (Analysis of Densification Behavior of Nano Cu Powders during Cold Isostatic Pressing)

  • 윤승채;김형섭;이창규
    • 한국분말재료학회지
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    • 제11권4호
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    • pp.341-347
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    • 2004
  • In the study, a hybrid constitutive model for densification of metallic powders was applied to cold isostatic pressing. The model is based on a pressure-dependent plasticity model for porous materials combined with a dislocation density-based viscoplastic constitutive model considering microstructural features such as grain size and inter-particle spacing. Comparison of experiment and calculated results of microscale and nanoscale Cu powders was made. This theoretical approach is useful for powder densification analysis of various powder sizes, deformation routes and powder processing methods.

셀 방법을 이용한 3차원 원형 브레이드 유리 섬유 강화 복합 재료의 구성 방정식 (Constitutive Equations for Three Dimensional Circular Braided Glass Fiber Reinforced Composites Using Cell Modeling Method)

  • 이원오;정관수
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 추계학술발표대회 논문집
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    • pp.71-74
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    • 2003
  • The cell modeling homogenization method to derive the constitutive equation considering the microstructures of the fiber reinforced composites has been previously developed for composites with simple microstructures such as 2D plane composites and 3D rectangular shaped composites. Here, the method has been further extended for 3D circular braided composites, utilizing B-spline curves to properly describe the more complex geometry of 3D braided composites. For verification purposes, the method has been applied for orthotropic elastic properties of the 3D circular braided glass fiber reinforced composite, in particular for the tensile property. Prepregs of the specimen have been fabricated using the 3D braiding machine through RTM (resin transfer molding) with epoxy as a matrix. Experimentally measured uniaxial tensile properties agreed well with predicted values obtained fer two volume fractions.

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Bounding Surface 모델을 이용한 변형율속도 의존적인 구성 관계식에 관한 연구 (Study on the Strain-Rate Dependent Constitutive Equation using Elastoplastic-Viscoplastic Constitutive Model)

  • Lee, Ki-Sun;Kim, Dae-Kyu;Lee, Woo-Jin
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2001년도 봄 학술발표회 논문집
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    • pp.207-214
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    • 2001
  • 응력-변형률 관계의 모델링에 있어서 creep, stress relaxation, strain rate effect 등의 묘사는 중요한 지반거동중의 하나인 시간 의존적 거동에 대한 simulation은 있어서 대단히 중요한 요소라 할 수 있다. 특히 지반은 변형률 속도에 대하여 때로는 매우 다른 거동 특성을 보이기 때문에 지반의 모델링에 있어서 변형율 속도를 고려한 구성방정식의 제시는 큰 비중을 차지한다 하겠다. 본 연구에서는 변형율에 따라 변화하는 지반의 거동특성을 보다 현실에 가갈게 묘사하기 위한 시간 의존적 구성모델을 제시하는데 있다. Bounding Surface Model의 Stress Invariant 부분을 Perzyna(1966)와 Adachi and Oka(1982)의 변형율 속도 의존적인 구성관계 이론을 이용하여 발전시켰다 제안된 구성모델은 다양한 변형율 속도에 적용에 있어서 기존의 방식보다 간단히 모델 정수들을 결정 할 수 있다. 지반거동의 수치적인 해석을 위하여 기존의 Bounding Surface Model에 사용되었던 Program Code를 발전 시켜 사용하였으며, 엄격히 시행된 실내시험의 결과와 비교/검증하였다.

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Effect of constitutive equations on theoretical analysis in melt spinning process

  • Kim, Seong-Cheol;Oh, Tae-Hwan;Han, Sung-Soo;Lyoo, Won-Seok
    • Korea-Australia Rheology Journal
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    • 제21권3호
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    • pp.149-153
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    • 2009
  • Profile development of the melt spinning process of poly(ethylene terephthalate) (PET) was simulated by a numerical method under the consideration of two constitutive equations of Newtonian and upper convected Maxwell (UCM) models. The viscoelastic characteristics of the polymer were considered via UCM constitutive equation that considered relaxation time as a function of temperature and molecular weight. The UCM model predicted the diameter profile better than the Newtonian, while velocity development was slower than the Newtonian model. Viscoelasticity played an important role in accurately predicting diameter profile. However, even though neck-like deformation was observed in the UCM model, the exact position of the deformation under high speed spinning was not obtained.

미세조직학적 변수를 고려한 합금의 구성모델링 (Constitutive Modelling of Alloys Implementing Microstructural Variables)

  • 김형섭;김성호;류우석
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2002년도 춘계학술대회 논문집
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    • pp.129-132
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    • 2002
  • A unified elastic-viscoplastic ocnstitutive model based on dislocation density considerations is described. A combination of a kinetic equation, which describes the mechanical response of a material at a given microstructure in terms of dislocation glide and evolution equations for internal variables characterizing the microstructure provide the constitutive equations of the Model. Microstructural features of the material, such as the grain size, spacing between second phase particles etc., are directly implemented in the constitutive equations. The internal variables are associated with the total dislocation density in the simple version of the model. The model has a modular structure and can be adjusted to describe a particular type of metal forming processes.

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Ti-6Al-4V 변형률 속도 변화에 따른 인장, 압축형 JC 구성방정식 변수의 변화 (Differences on Tension, Compression JC Constitutive Equation Parameter of Strain Rate Effect for Ti-6Al-4V)

  • 우상현;이창수;박이주
    • 한국재료학회지
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    • 제27권1호
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    • pp.19-24
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    • 2017
  • This paper is concerned with a test method that can be used to investigate the parameters of the Johnson-Cook constitutive model. These parameters are essential for accurately analyzing material behavior under impact loading conditions in numerical simulation. Ti-6Al-4V alloy (HCP crytal structure) was used as a specimen for the experiments. In the $10^{-3}-10^3/s$ strain rate range, three types of experimental methods (convention, compression and tension) were employed to compare the differences using MTS-810, SHPB and SHTB. Finite element analysis results when applying these parameters were displayed along with the experiment results.

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.