• 제목/요약/키워드: S-K Constitutive Equation

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Numerical Simulation of Flow-Induced Birefringence in Injection Molded Disk

  • Lee H. S.;Shyu G. D.;Isayev A. I.
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 The Korea-Japan Plastics Processing Joint Seminar
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    • pp.41-47
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    • 2003
  • This study is an attempt to understand the birefringence and stress development in an injection molded disk. A computer code was developed to simulate all three stages of the injection molding process - filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. The predicted birefringence was in good agreement with the experimental results.

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Magneto-thermo-elastic response of a rotating functionally graded cylinder

  • Hosseini, Mohammad;Dini, Ali
    • Structural Engineering and Mechanics
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    • 제56권1호
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    • pp.137-156
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    • 2015
  • In this paper, an analytical solution of displacement, strain and stress field for rotating thick-walled cylinder made of functionally graded material subjected to the uniform external magnetic field and thermal field in plane strain state has been studied. Stress, strain and displacement field as a function of radial coordinates considering magneto-thermo-elasticity are derived analytically. According to the Maxwell electro-dynamic equations, Lorentz force in term of displacement is obtained in cylindrical coordinates. Also, symmetric temperature distribution along the thickness of hollow cylinder is obtained by solving Fourier heat transfer equation in cylindrical coordinates. Using equation of equilibrium and thermo-mechanical constitutive equations associated with Lorentz force, a second-order inhomogeneous differential equation in term of displacement is obtained and will be solved analytically. Except Poisson's ratio, other mechanical properties such as elasticity modulus, density, magnetic permeability coefficient, heat conduction coefficient and thermal expansion coefficient are assumed to vary through the thickness according to a power law. In results analysis, non-homogeneity parameter has been chosen arbitrary and inner and outer surface of cylinder are assumed to be rich metal and rich ceramic, respectively. The effect of rotation, thermal, magnetic field and non-homogeneity parameter of functionally graded material which indicates percentages of cylinder's constituents are studied on displacement, Von Mises equivalent stress and Von Mises equivalent strain fields.

Thermo-elastic analysis of rotating functionally graded micro-discs incorporating surface and nonlocal effects

  • Ebrahimi, Farzad;Heidar, Ebrahim
    • Advances in aircraft and spacecraft science
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    • 제5권3호
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    • pp.295-318
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    • 2018
  • This research studies thermo-elastic behavior of rotating micro discs that are employed in various micro devices such as micro gas turbines. It is assumed that material is functionally graded with a variable profile thickness, density, shear modulus and thermal expansion in terms of radius of micro disc and as a power law function. Boundary condition is considered fixed-free with uniform thermal loading and elastic field is symmetric. Using incompressible material's constitutive equation, we extract governing differential equation of four orders; to solution this equation, we utilize general differential quadrature (GDQ) method and the results are schematically pictured. The obtained result in a particular case is compared with another work and coincidence of results is shown. We will find out that surface effect tends to split micro disc's area to compressive and tensile while nonlocal parameter tries to converge different behaviors with each other; this convergence feature make FGIMs capable to resist in high temperature and so in terms of thermo-elastic behavior we can suggest, using FGIMs in micro devices such as micro turbines (under glass transition temperature).

Development of new predictive analysis in the orthogonal metal cutting process by utilization of Oxley's machining theory

  • Abdelkader, Karas;Mohamed, Bouzit;Mustapha, Belarbi;Redha, Mazouzi
    • Steel and Composite Structures
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    • 제19권6호
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    • pp.1467-1481
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    • 2015
  • This paper presents a contribution to improving an analytical thermo-mechanical modeling of Oxley's machining theory of orthogonal metals cutting, which objective is the prediction of the cutting forces, the average stresses, temperatures and the geometric quantities in primary and secondary shear zones. These parameters will then be injected into the developed model of Karas et al. (2013) to predict temperature distributions at the tool-chip-workpiece interface. The amendment to Oxley's modified model is the reduction of the estimation of time-related variables cutting process such as cutting forces, temperatures in primary and secondary shear zones and geometric variables by the introduction the constitutive equation of Johnson-Cook model. The model-modified validation is performed by comparing some experimental results with the predictions for machining of 0.38% carbon steel.

조선 해양 구조물용 강재의 소성 및 파단 특성 V: 온도 의존성을 고려한 변형률 속도에 관한 실험적 연구 (Plasticity and Fracture Behaviors of Marine Structural Steel, Part V: Effects of Strain Rate and Temperature)

  • 정준모;임성우;김경수
    • 한국해양공학회지
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    • 제25권3호
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    • pp.73-84
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    • 2011
  • This is the fifth in a series of companion papers dealing with the dynamic hardening properties of various marine structural steels at intermediate strain rates. Five steps of strain rate levels (0.001, 1, 10, 100, 200/s) and three steps of temperature levels (LT ($-40^{\circ}C$), RT, and HT ($200^{\circ}C$)) were taken into account for the dynamic tensile tests of three types of marine structural steels: API 2W50 and Classifications EH36 and DH36. The total number of specimens was 180 pieces. It was seen that the effects of dynamic hardening became clearer at LT than at RT. Dynamic strain aging accompanying serrated flow stress curves was also observed from high temperature tests for all kinds of steels. The dynamic hardening factors (DHFs) at the two temperature levels of LT and RT were derived at the three plastic strain levels of 0.05, 0.10, 0.15 from dynamic tensile tests. Meanwhile, no DHFs were found for the high temperature tests because a slight negative strain rate dependency due to dynamic strain aging had occurred. A new formulation to determine material constant D in a Cowper-Symonds constitutive equation is provided as a function of the plastic strain rate, as well as the plastic strain level. The proposed formula is verified by comparing with test flow stress curves, not only at intermediate strain rate ranges but also at high strain rate ranges.

Udimet 720Li 합금의 항온단조 변형특성 (Deformation Characteristics of Udimet 720Li during Isothermal Forging)

  • 염종택;나영상;박노광
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2001년도 춘계학술대회 논문집
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    • pp.190-193
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    • 2001
  • Hot deformation behavior of Udimet 720Li was characterized by compression tests in the temperature range of $1025^{\circ}C\;to\;1150^{\circ}C$ and the strain rate rage of $0.0005s^{-1}\;to\;5s^{-1}$. In order to characterize the dependence of flow stress on strain, strain rate and temperature, a constitutive equation based on hyperbolic sine formation was used. Isothermal forging of Udimet 720Li was performed in the temperature range $1050-1150^{\circ}C$ at strain rates of $0.05s^{-1}\;and\;0.005s^{-1}$. FE simulation was also carried out to predict deformation microstructures during isothermal forging.

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Fiber Openness의 변동이 Draft 불균제에 미치는 영향 (Effect of the Variation of Fiber Openness on the Draft Irregularity)

  • 허유;김종성;곽도웅
    • 한국섬유공학회:학술대회논문집
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    • 한국섬유공학회 2003년도 봄 학술발표회 논문집
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    • pp.157-160
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    • 2003
  • 드래프트 공정을 거친 슬라이버의 선밀도 불균제는 제품의 품질과 공정의 효율 면에서 많은 문제를 일으킨다. 이러한 불균제의 특성을 해석하고 균제성을 제고하기 위해서는 실제 불균제가 발생하는 드래프트 존 내에서 섬유집속체의 동적거동을 정확하게 묘사해 줄 이론적 모델 연구가 필요하다. 본 연구에서는 이미 제시한 드래프트 존 내에서의 섬유의 동적거동을 묘사하는 fundamental equation을 바탕으로 force-deformation의 관계를 나타내는 constitutive model의 주요 model parameter 변동이 출력 슬라이버의 두께 flucturation에 미치는 영향으르 찾아보기 위하여 model simulation을 하고, fiber openness와 직접적인 관련이 있는 model parameter u의 변동범위를 실험을 통해 살펴보았다. (중략)

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Ti-6Al-2Sn-4Zr-6Mo 합금의 고온압축 변형거동 (High Temperature Compressive Deformation Behavior of Ti-6Al-2Sn-4Zr-6Mo Alloy)

  • 현용택;이용태;이찬규
    • 한국재료학회지
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    • 제11권2호
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    • pp.82-87
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    • 2001
  • Ti-6Al-2Sn-4Zr-6Mo(Ti6246) 합금의 고온 변형거동을 조사하기 위하여 $\alpha$+$\beta$ 영역 및 $\beta$영역의 온도에서 $10^0s^{-1}$에서 $10^{-3}s^{-1}$의 변형속도로 압축시험을 수행하였다. 유동응력은 변형속도가 증가하고 시험 온도가 감소함에 따라 증가하였다 90$0^{\circ}C$ 이하에서 시험한 결과로부터 얻어진 유동곡선은 가공연화 현상을 나타내었으나, 이 합금의$\beta$영역인 95$0^{\circ}C$ 이상에서는 유동응력이 지속적으로 증가하다가 정상 상태를 나타냈다. 압축시험 결과로부터 얻은 유동곡선 분석을 통하여 유동응력의 변형량, 변형속도 및 온도에 대한 관계로부터 이 합금에 대한 구성방정식을 구하였다.

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충격하중을 받는 구조부재의 탄소성 파괴해석 프로그램 개발 (Development of Elastic-Plastic Fracture Analysis Program for Structural Elements under an Impact Loadings)

  • 김경수;박준범
    • 대한조선학회논문집
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    • 제35권1호
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    • pp.61-71
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    • 1998
  • 본 논문에서는 2차원 공간에서의 탄성 또는 탄소성응력파를 받는 구조부재의 동적 파괴거동을 다룬다. 이러한 문제에 대한 지배방정식은 운동방정식과 탄소성 구성방정식에 대한 증감식으로 구성된 쌍곡선 편미분 방정식으로 나타나고, 이를 풀기 위해 유한차분법을 기초로 한 Zwas방법이 도입된다. 또한 탄소성문제의 동적거동을 나타내기 위해 응력공간내 탄소성 loading path가 소성항복 현상을 모델링하는데 제안된다. 이러한 계산결과를 바탕으로 탄성체의 균열선단의 동적응력확대계수가 계산되어지고, 탄소성체에 대한 소성영역의 형상의 시간이력을 보여준다.

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Densification Behavior of Iron Powder during Cold Stepped Compaction

  • Kang, C.S.;Lee, S.C.;Kim, K.T.;Rozenberg, O.
    • 한국분말야금학회:학술대회논문집
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    • 한국분말야금학회 2006년도 Extended Abstracts of 2006 POWDER METALLURGY World Congress Part 1
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    • pp.183-184
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    • 2006
  • Densification behavior of iron powder under cold stepped compaction was studied. Experimental data were also obtained for iron powder under cold stepped compaction. The elastoplastic constitutive equation based on the yield function of Shima and Oyane was implemented into a finite element program (ABAQUS) to simulate compaction responses of iron powder during cold stepped compaction. Finite element results were compared with experimental data for densification, deformed geometry and density distribution.

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