• Title/Summary/Keyword: elastic-plastic analysis

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플라스틱 핵 솔더볼의 열응력 해석에 관한 연구 (A Study on Thermal Stress Analysis of Plastic-Core Solder Balls)

  • 김환동;윤도영
    • 한국공작기계학회논문집
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    • 제16권6호
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    • pp.159-162
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    • 2007
  • Recently, Pb-free solder ball technology, which is getting more significant in miniaturization of electronic equipment, and resolution of recent environmental problems, is necessary to be developed. A plastic-core solder ball is much promising in those considerations. Plastic-core solder balls have the tendency to replace the usual metal-core solder ball from low material cost and superior mechanical properties. The thermal effects, however, are important in manufacturing process, such as deposing micro-sized metal thin film on the spherical polymer surface. Furthermore plastic-core solder balls are easy to be broken due to CTE and elastic coefficient of material property from heat transfer. We propose technical computational investigations for the manufacturing design and the reliability of plastic-core solder ball from thermal stress analysis.

완전소성하 변형경화 이종접합재의 계면균열선단 구속상태 및 J-적분 (Interfacial Crack-tip Constraints and J-integrals in Plastically Hardening Bimaterials under Full Yielding)

  • 이형일;김용범
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1159-1169
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    • 2003
  • This paper investigates the effects of T-stress and plastic hardening mismatch on the interfacial crack-tip stress field via finite element analyses. Plane strain elastic-plastic crack-tip fields are modeled with both MBL formulation and a full SEC specimen under pure bending. Modified Prandtl slip line fields illustrate the effects of T-stress on crack-tip constraint in homogeneous material. Compressive T-stress substantially reduces the interfacial crack-tip constraint, but increases the J-contribution by lower hardening material, J$\_$L/. For bimaterials with two elastic-plastic materials, increasing plastic hardening mismatch increases both crack-tip stress constraint in the lower hardening material and J$\_$L/. The fracture toughness for bimaterial joints would consequently be much lower than that of lower hardening homogeneous material. The implication of unbalanced J-integral in bimaterials is also discussed.

배관에 존재하는 원주방향 표면균열에 대한 파괴거동 해석 (I) -J-적분 예측식 - (Fracture Behavior Estimation for Circumferential Surface Cracked Pipes (I) - J-Integral Estimation Solution -)

  • 김진수;김윤재;김영진
    • 대한기계학회논문집A
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    • 제26권1호
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    • pp.131-138
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    • 2002
  • This paper provides the fully plastic J solutions for circumferential cracked pipes with inner, semi- elliptical surface cracks, subject to internal pressure and global bending. Solutions are given in the form of two different approaches, the GEF/EPRl approach and the reference stress approach. For the GE/EPRl approach, the plastic influence functions for fully plastic J are tabulated based on extensive 3-D FE calculations using the Ramberg-Osgood (R-O) materials, covering a wide range of pipe and crack geometries. The developed GEf/EPRl-type fully plastic J estimation equations are then re-formulated using the concept of the reference stress approach for wider applications. Based on the FE results, optimized reference load solutions for the definition of the reference stress are found for internal pressure and for global bending. Advantages of the reference stress based approach over the GE/EPRl-type approach are fully discussed. Validation of the proposed reference stress based J estimation equations will be given in Part II, based on 3-D elastic-plastic or elastic creep FE results using typical tensile properties of stainless steels and generalized creep- deformation behaviours.

Non-linear stability analysis of a hybrid barrel vault roof

  • Cai, Jianguo;Zhou, Ya;Xu, Yixiang;Feng, Jian
    • Steel and Composite Structures
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    • 제14권6호
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    • pp.571-586
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    • 2013
  • This paper focuses on the buckling capacity of a hybrid grid shell. The eigenvalue buckling, geometrical non-linear elastic buckling and elasto-plastic buckling analyses of the hybrid structure were carried out. Then the influences of the shape and scale of imperfections on the elasto-plastic buckling loads were discussed. Also, the effects of different structural parameters, such as the rise-to-span ratio, beam section, area and pre-stress of cables and boundary conditions, on the failure load were investigated. Based on the comparison between elastic and elasto-plastic buckling loads, the effect of material non-linearity on the stability of the hybrid barrel vault is found significant. Furthermore, the stability of a hybrid barrel vault is sensitive to the anti-symmetrical distribution of loads. It is also shown that the structures are highly imperfection sensitive which can greatly reduce their failure loads. The results also show that the support conditions pose significant effect on the elasto-plastic buckling load of a perfect hybrid structure.

용접구조물의 변형 예측에 관한 연구 (A Study on the Prediction of Deformation of Welded Structures)

  • 서승일;장창두
    • Journal of Welding and Joining
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    • 제15권5호
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    • pp.64-73
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    • 1997
  • Deformations of structures due to welding appear much complicated and deformated modes are also complex. As parameters governing deformations are various and effect of parameters on deformations is not well known, precise prediction of deformation due to welding has been a difficult problem. Until now, many research papers as to welding deformation have been published, but the research results can explain only one aspect of welding deformation have been published, but the research results can explain only one aspect of welding deformation and are hard to be used in reasonable prediction of welding deformations in complicated structures. In this study, based on the accumulated results concerning to welding deformations, a practical method to predict complicated welding deformations of large structure is proposed. A simplified model to estimate residual plastic strains is suggested and main parameters affecting residual plastic strains are shown to be heat input and joint restaints. Inherent strain theory and experimental data are combined with the finite element method and welding deformations of large structures are calculated by elastic analysis. Comparison of calculated results with experimental data shows the accuracy and validity of the proposed method.

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강부재의 대변형 예측을 위한 3차원 탄소성 유한변위해석의 정식화에 대한 비교연구 (A Comparative Study on Formulation of Three-Dimensional Elastic-Plastic Finite Deformation Analysis for Prediction Large Deflection)

  • 장갑철;장경호
    • 한국공간구조학회논문집
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    • 제6권4호
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    • pp.53-61
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    • 2006
  • 본 연구에서는 임의의 반복하중 작용시 강구조물에 발생하는 대변형 및 반복소성거동을 정확히 예측하기 위하여 유한변위이론과 반복소성이력모델을 적용한 3차원 탄소성 유한요소 해석기법을 개발하였다. 반복소성이력모델은 강재의 단조재하실험 및 반복하중실험 결과에 기초하여 정식화되었다. 개발된 해석기법의 정도는 Bilinear모델 및 미소변위이론을 적용한 해석기법 및 실험결과와 비교하여 검증하였다. 본 연구에서 개발한 유한변위이론과 반복소성이력모델을 적용한 3차원 유한요소 해석기법이 임의의 반복하중을 받는 원형강교각의 대변형 및 반복소성거동을 정확히 예측할 수 있음을 알 수 있었다.

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Shadow Mask용 냉간 압연박판의 잔류응력과 변형 해석 (Analysis of Residual Stress and Etching Curl of Cold Rolled Sheet in Shadow Mask)

  • 정호승;조종래;문영훈;김교성
    • 소성∙가공
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    • 제12권2호
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    • pp.123-127
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    • 2003
  • The cold rolling conditions for the ultra thin steel for tension mask are very important because the residual stress that affects the flatness of strip is generate during the cold rolling. The residual stress in the sheet causes etching curls when it suffers perforation process. The residual stress through the thickness. To estimate the residual stress and deformation due to etching curl. FEM analysis is performed. Numerical simulation employ a ANSY5 5.6 and an elastic-plastic constitutive equation. The simulation results indicate the distribution of residual stress in the rolled sheet can be controlled by selecting the rolling conditions properly.

지하공간에 관련된 수치해석의 사례연구 (Case study on numerical analyses related to large rock caverns)

  • 이근희
    • 터널과지하공간
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    • 제2권1호
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    • pp.152-163
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    • 1992
  • The study of rock mass behaviour through a numerical analysis is important for the design, construction and maintenance of large rock caverns. The objectives of the numerical analysis are to design reasonably and construct safely the underground structures, to maintain them soundly after construction and to extend them securely for a desired period of time. Methods of numerical analyses included in this case study are the finite element method, the boundary element method, and the distinct element method. The numerical models are purely elastic, elastoplastic, visco-elastic, visco-plastic, easto-visco-plastic and jointed-discontinuous materials. The results of this case study indicate that the rock mass behaviour could be predicted exactly through continuous comparisons of the numerical results with the in-situ measurements.

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용접공정의 유한요소해석 (Finite element analysis of welding processes)

  • 최강혁;김주완;임세영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.465-467
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    • 2004
  • Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformation, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic-plastic constitutive equation proposed by Leblond et al in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastic formulation is employed for efficient numerical integration, and the algorithmic consistent moduli for elastic-plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical examples. Several locking phenomena removed by Solid-shell element.

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최소노름 응력장를 이용한 구조물의 소성해석법 (Plastic Design Method for Steel Skeletal Structure based on the Least Norm Stress Field)

  • 이승재
    • 한국공간구조학회논문집
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    • 제6권3호
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    • pp.131-137
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    • 2006
  • 본 연구는 소성이론의 하계정리를 이용하여 구조설계자의 부재의 응력장에 대한 만족도를 고려한 구조해석 프로그램을 제안한다. 구조물에 작용하는 계수하중과 평형을 이루는 임의의 응력장 중에서 최소노름 응력장을 이용하여 찾아내고, 구조물의 모든 부위에서 부재의 설계내력이 부재력을 상회하도록 부재 단면을 결정하는 방법을 제안한다.

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