• Title/Summary/Keyword: Shear-Difference method

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A Study of Localization of the Adiabatic Shear Band with Numerical Method (단열전단변형에서 국부화에 대한 수치해석적 연구)

  • 이병섭
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.225-228
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    • 1999
  • In a plastically deformed body the formation of a shear band is widely observed in the engineering materials during rapidly forming process for a thermally rate-sensitive material. The localized shear bond stems from evolution of a narrow region in which intensive plastic flow occurs. The shear band often plays as a precursor of the ductile fracture during a forming process. The objectives of this study are to investigate the localization behaivor by using numerical method thus predict the failure. In this work the implicit finite difference scheme is preformed due to the ease of covergence and the numerical stability. This study is based on an analysised material with hardening as well as thermally softening behavior which includes isotropy strain hardening. Furthermore this paper suggests that an anticipated and suggested a kinematic hardening constitutive equation be requried to predicte a more accurate strain level wherein a shear band occurs.

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A Study of Localization with Material Properties Using Numerical Method (재료의 특징에 따른 국부화에 대한 수치해석적 연구)

  • 황두순;이병섭;이용성;윤수진;홍성인
    • Transactions of Materials Processing
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    • v.9 no.4
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    • pp.395-403
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    • 2000
  • Formation of Shear Band under the adiabatic condition is widely observed In the engineering materials during rapidly forming process lot a thermally rate-dependent material. The shear band stems from evolution of a narrow region in which an intensive plastic flow occurs. The shear band often plays a role of a precursor of the ductile fracture during a forming process. The objective of this study is to investigate the localization behavior using numerical method. In this work, the implicit finite difference scheme is employed due to the ease of convergence and the numerical stability It is noted that physical and mechanical properties of materials determine how the shear band is formed and then localized. Material properties can be characterized with inertia number dissipation number and diffusion number. It is observed that the dimensionless numbers effect on localization. Using a parametric study, comparison was made between CRS-1018 steel with WHA (tungsten heavy alloy). The deformation behavior of material in this study include an isotropic hardening as well as thermal softening. Moreover, this study suggests that a kinematic hardening constitutive relation be required to predict a more accurate strain level at a shear band.

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Lubrication Effect of Slider Bearing with Round Embossed Surface According to Its Slider Slope (둥근 엠보싱 형상이 있는 슬라이더 베어링의 경사도에 따른 윤활효과)

  • Chin, DoHun;Yoon, MoonChul
    • Tribology and Lubricants
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    • v.30 no.5
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    • pp.284-290
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    • 2014
  • The influence of round embossed surface on slider bearing characteristics and its load carrying capacity is discussed for thin film effect of embossed slider bearing. For the numerical computation of lubrication parameters such as pressure, load capacity and shear stress that are normalized and a Reynolds equation is used for the analysis of embossed slider bearing characteristics. For this purpose, the finite difference method of central difference scheme is used in this study. In a slider bearing with embossed form, several simulation parameters such as pressure, load capacity and shear stress of the bearing can be obtained according to independent parameters such as the slope of the slider bearing and number of embossing in the upper slider. Also this results can be summarized and be stored in sequential data file for latter analysis. After all, their distribution of the pressure and shear stress parameters can be displayed and be analyzed easily by using the developed program with matlab GUI technique. The independent parameters such as a number of embossing and a slope of the embossed surface slider are used for discussing simulation parameters of pressure distribution, shear stress and load carrying capacity of the round embossing. These study results reported in this paper should be applied to the other shaped slider bearing with a rectangular embossed surface or rectangular waved surface.

Iterative Analysis for Nonlinear Laminated Rectangular Plates by Finite Difference Method

  • Kim, Chi Kyung
    • International Journal of Safety
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    • v.1 no.1
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    • pp.13-17
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    • 2002
  • A new system of equations governing the nonlinear thin laminated plates with large deflections using von Karman equations is derived. The effects of transverse shear in the thin interlayer are included as part of the analysis. The finite difference method is used to perform the geometrically nonlinear behavior of the plate. The resultant equations permit the analysis of the effect of transverse shear stress deformation on the overall behavior of the interlayer using the load incremental method. For the purpose of feasibility and validity of this present method, the numerical results are compared with other available solutions for accuracy as well as efficiency. The solution techniques have been implemented and the numerical results of example problem are discussed and evaluated.

Effective Analysis of Beams and Plates using the RKPM (무요소법을 이용한 보와 판의 효과적인 해석)

  • Song, Tae-Han;Seog, Byung-Ho;Lim, Jang-Keun
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.680-685
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    • 2001
  • In this paper, RKPM is extended for solving moderately thick and thin structures. General Timoshenko beam and Mindlin plate theory are used far formulation. Shear locking is the main difficulty in analysis of these kinds of structures. Shear relaxation factor, which is formulated using the difference between bending and shear strain energy, is introduced to overcome shear locking. Analysis results obtained reveal that RKPM using introduced method is free of locking and very effectively applicable to deeply as well as shallowly beams and plates.

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A Study of Localization for Adiabatic Shear Band in WHA(Tungsten Heavy Alloy) (텅스텐 중합금의 단열전단밴드 형성 및 국부화에 대한 연구)

  • Hwang, Doo-Son;Hong, Sung-In
    • Journal of the Korean Society of Propulsion Engineers
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    • v.11 no.6
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    • pp.18-25
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    • 2007
  • In a plastic metal forming of thermally rate-sensitive material, the localized shear band stems from evolution of a narrow region in which intensive plastic flow occurs. And it give rise to fatal fracture with plastic instability. The objectives of this study are to investigate the localization behavior by using numerical method and predict the failure for WHA(Tungsten Heavy Alloy). In this work, the implicit finite difference scheme is used because of the advantage about convergence and the numerical stability. This study is based on an analysed material with hardening as well as thermally softening behavior which includes isotropic strain hardening and observed the extension of localization within shear band according to material properties.

Effective Analysis of Beams Using the RKPM (RKPM을 이용한 보의 효과적 해석 방안)

  • 송태한;석병호
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.5
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    • pp.73-79
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    • 2003
  • In this paper, RKPM is extended for solving moderately thick and thin beams. General Timoshenko beam theory is used for formulation. Shear locking is the main difficulty in analysis of these kinds of structures. Shear relaxation factor, which is formulated using the difference between bending and shear strain energy, and corrected shear rigidity are introduced to overcome shear locking. Analysis results obtained reveal that RKPM using introduced methods is free of locking and very effectively applicable to deep beams as well as shallow beams.

Analyses of Non-linear Behavior of Axisymmetric Structure by Finite Element Method (유한요소법을 이용한 축대칭 구조물의 비선형 거동해석)

  • 구영덕;민경탁
    • Computational Structural Engineering
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    • v.10 no.2
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    • pp.139-148
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    • 1997
  • A finite element method is programmed to analyse the nonlinear behavior of axisymmetric structures. The lst order Mindlin shell theory which takes into account the transversal shear deformation is used to formulate a conical two node element with six degrees of freedom. To evade the shear locking phenomenon which arises in Mindlin type element when the effect of shear deformation tends to zero, the reduced integration of one point Gauss Quadrature at the center of element is employed. This method is the Updated Lagrangian formulation which refers the variables to the state of the most recent iteration. The solution is searched by Newton-Raphson iteration method. The tangent matrix of this method is obtained by a finite difference method by perturbating the degrees of freedom with small values. For the moment this program is limited to the analyses of non-linear elastic problems. For structures which could have elastic stability problem, the calculation is controled by displacement.

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A Study on the Shear Bond Strength of Resin Artificial Tooth Depending on Repair Techniques (레진 인공치아의 재부착 방법에 따른 전단결합강도에 관한 연구)

  • Kim, Ik-Jung;Lee, Jong-Hyuk;Cho, In-Ho
    • Journal of Dental Rehabilitation and Applied Science
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    • v.21 no.2
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    • pp.143-151
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    • 2005
  • The purpose of this study was to evaluate the most effective method for repairing the exfoliated resin teeth. The specimens were divided into five groups according to repair method and presence of retention holes. The groups were as follows Group1 : Control group Group2 : Sprinkle method with no retention holes Group3 : Sprinkle method with retention holes Group4 : Flask method with no retention holes Group5 : Flask method with retention holes The results were as follows. 1. According to shear bond strength, the value decreased in the order of group1, group5, group3, group2, group4 and there were significant difference between, each group except between group1 and groups5, group2 and group3, group2 and group4(p < 0.05). 2. According to observations of the exfoliation surface, group2 and 4 showed more failure in the denture base resin and repair resin interface, but in group1, 3 and 5 there were more mixed failures. From the results above, there were no significant difference between repair methods without retention holes. But when comparing groups with retention holes, the flask method showed significantly improved results compared to the sprinkle method. Especially, group5 showed similar results as the control group.

Direct design of partially prestressed concrete solid beams

  • Alnuaimi, A.S.
    • Structural Engineering and Mechanics
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    • v.27 no.6
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    • pp.741-771
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    • 2007
  • Tests were conducted on two partially pre-stressed concrete solid beams subjected to combined loading of bending, shear and torsion. The beams were designed using the Direct Design Method which is based on the Lower Bound Theorem of the Theory of Plasticity. Both beams were of $300{\times}300mm$ cross-section and 3.8 m length. The two main variables studied were the ratio of the maximum shear stress due to the twisting moment, to the shear stress arising from the shear force, which was varied between 0.69 and 3.04, and the ratio of the maximum twisting moment to the maximum bending moment which was varied between 0.26 and 1.19. The required reinforcement from the Direct Design Method was compared with requirements from the ACI and the BSI codes. It was found that, in the case of bending dominance, the required longitudinal reinforcements from all methods were close to each other while the BSI required much larger transverse reinforcement. In the case of torsion dominance, the BSI method required much larger longitudinal and transverse reinforcement than the both the ACI and the DDM methods. The difference in the transverse reinforcement is more pronounce. Experimental investigation showed good agreement between design and experimental failure loads of the beams designed using the Direct Design Method. Both beams failed within an acceptable range of the design loads and underwent ductile behaviour up to failure. The results indicate that the Direct Design Method can be successfully used to design partially prestressed concrete solid beams which cater for the combined effect of bending, shear and torsion loads.