• Title/Summary/Keyword: Elasto-Plasticity

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Influence of Friction Between Materials on the Axial Direction Pull Force in Single Clinching (싱글 클린칭 공정에서 소재간 마찰이 축방향 분리력에 미치는 영향)

  • Lee, D.W.;Sekar, R.;Lee, C.J.;Joun, M.S.
    • Transactions of Materials Processing
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    • v.30 no.2
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    • pp.83-90
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    • 2021
  • In this paper, a parametric study on the influence of friction between materials on pull force in single clinching is conducted using an axisymmetric elasto-plastic finite element method and law of Coulomb friction. An appropriate finite element analysis model is given, which minimizes the effect of the material model and numerical factors including the number of quadrilateral finite elements and blank radius. It is emphasized that the elasto-plastic material model should be employed because the elastic deformation of the internal region is affected more by the pull force. It has been shown that the pull force increases as friction coefficient increases and that the optimized friction coefficient is around 0.4, which is qualitatively comparable with its theoretical value. When the friction coefficient reaches 0.5 in the example studied, the neck fracture is predicted.

Progress in Sheet Metal Forming Technology (금속 판재 성형 기술의 진보)

  • 박종우
    • Transactions of Materials Processing
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    • v.11 no.3
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    • pp.223-230
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    • 2002
  • Matched die forming technology has been used widely as a sheet metal forming method for a long time. This conventional method, however, needs a high cost and long delivery time to prepare a set of matched dies or, in many cases, several sets of dies. For more than ten years, some alternative methods using single die or non-matched dies have been developed and applied practically in various fields of industry. Elasto-forming, fluid forming, hydro-forming, and blow forming are some examples of these new methods. Recently, a dieless sheet forming technology using a reconfigurable matrix of punch elements has been developed, and started to be used in some industries such as aircraft and railroads. A new concept of dieless forming technology has also been proposed to overcome the drawback of the conventional dieless forming technology.

HAZ 연화부를 가진 TMCP형 고장력강판의 압축최종강도에 관한 연구 - 정사각형판

  • 백점기;고재용
    • Journal of Welding and Joining
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    • v.8 no.4
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    • pp.69-75
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    • 1990
  • In this paper, ultimate compressive strength of TMCP 50HT steel plates (yield stress .sigma.$_{o}$=36kg/mm$^{2}$) with HAZ softening is studied. Finite element method formulated by the author is applied to analyze the elasto-plastic large deflection behaviour of the plates. The influence of HAZ softening breadth, welding direction and slenderness ratio on the ultimate compressive strength is investigated. The results obtained are summarized as 1) With the increasing of the HAZ softening breadth, early plasticity on the plates is formed and then the ultimate compressive strength is decreased, in which about 8% of the ultimate strength for the plate with h/t=4(h: HAZ softening breadth, t: plate thickness) was reduced comparing with no HAZ softening. 2) The large decrease of the ultimate strength for the case that the welding direction is normal to the loading direction is occurred than the case that the welding direction is parallel to the loading direction. 3) The influence of HAZ softening on the ultimate compressive strength is serious for thick plates, while it may be negligible for thin plates.s.

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Geometrically exact initially curved Kirchhoff's planar elasto-plastic beam

  • Imamovic, Ismar;Ibrahimbegovic, Adnan;Hajdo, Emina
    • Coupled systems mechanics
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    • v.8 no.6
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    • pp.537-553
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    • 2019
  • In this paper we present geometrically exact Kirchhoff's initially curved planar beam model. The theoretical formulation of the proposed model is based upon Reissner's geometrically exact beam formulation presented in classical works as a starting point, but with imposed Kirchhoff's constraint in the rotated strain measure. Such constraint imposes that shear deformation becomes negligible, and as a result, curvature depends on the second derivative of displacements. The constitutive law is plasticity with linear hardening, defined separately for axial and bending response. We construct discrete approximation by using Hermite's polynomials, for both position vector and displacements, and present the finite element arrays and details of numerical implementation. Several numerical examples are presented in order to illustrate an excellent performance of the proposed beam model.

Multi-Point Sheet Forming Using Elastomer (탄소중합체를 이용한 다점 박판 성형)

  • 박종우
    • Transactions of Materials Processing
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    • v.13 no.2
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    • pp.129-136
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    • 2004
  • Recently, instead of a matched die forming method requiring a high cost and long delivery term, a multi-point dieless forming method using a pair of matrix type punch array as flexible dies has been developed. Since the conventional multi-point dieless forming method has some disadvantages of difficulty in precise punch control and high-cost of equipment, a new concept of multi-point dieless forming method combined with an elasto-forming method has been suggested in this study. For optimal selection of elastomers, compression tests of rubbers, polyethylene and foams were carried out together with FEM analysis of the deformation behavior during sheet forming process using a rigid punch and elastomers. Compressive strain was concentrated on the upper central area of the elastomer under the punch, and the rubber exhibited higher concentration of the compressive strain than foams. Two-dimensional curved surface was formed successfully by the multi-point elasto-dieless forming method using an optimal combination of rubber and foam materials.

An Elasto-Plastic Finite Element Analysis on Deep Drawing of Clad Sheet Metal (클래드 강판재에 의한 축대칭 디프드로잉의 탄소성 유한요소해석)

  • 류호연;김영은;김종호;정완진
    • Transactions of Materials Processing
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    • v.10 no.5
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    • pp.411-417
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    • 2001
  • A Comparative study on deep drawing of clad sheet is carried out to investigate the forming characteristics and the effectiveness of modified finite element analysis. An elasto-plastic finite element analysis Is developed to analyze the forming of clad sheet using explicit scheme and layered shell. Axisymmetric deep drawing of stainless clad metal sheet is performed and thickness distribution is obtained. The corresponding finite element analysis shows good agreement with the results. Some disagreement can be explained by the assumption of shell element and the complexity of deformation of clad sheet.

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Residual Stress Analysis of Rot Rolled Strip in Coiling Process (권취 공정 중 열연 강판의 잔류 응력 해석)

  • 구진모;김홍준;이재곤;황상무
    • Transactions of Materials Processing
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    • v.12 no.4
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    • pp.302-307
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    • 2003
  • Hot rolled strip is cooled by air and water in Run-Out-Table. In this process, phase transformation and shape deformation occurs due to temperature drop. Because of un-ideal cooling condition of ROT, irregular shape deformation and phase transformation arise in the strip. which affect the strip property and lead to the residual stress of strip. And these exert effects on the following processes, coiling process, coil cooling process, and re-coiling process. Through these processes, the residual stress becomes higher and severe. For the prediction of residual stress distribution and shape deformation of final product, Finite element(FE) based model was used. It consists of non-steady state heat transfer analysis, elasto-plastic analysis. thermodynamic analysis and phase transformation kinetics. Successive FEM simulation were applied from ROT process to coil cooling process. In each process simulation, previous process simulation results were used for the next process simulation. The simulation results were matched well with the experimental results.

Comparison of Objective Stress Rates for Explicit Transient Shell Dynamics Analysis (쉘 구조물의 과도동적거동해석에 적용된 응력률들의 비교)

  • Har, Ja-Son
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.497-502
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    • 2004
  • This paper presents applications of the objective stress rates to stress update algorithms for transient shell dynamic analysis within the context of explicit time integration. The hypo elasto-plastic materials are assumed in establishing constitutive equations. The derivation of the objective stress rates are investigated by use of the Lie derivative. Comparison results are given between the Kirchhoff and Cauchy stress formulation. The Jacobian determination algorithm proposed in this paper is presented in association with the Belytschko-Lin-Tsay shell theory. Several numerical examples are demonstrated including contact and non-contact examples, by which proposed algorithms are compared with respect to the accuracy and effectiveness.

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The Role of the Plastic Flow Rules in the Elasto-Plastic Formulation of Joint behaviour (절리거동의 탄소성해석에서 소성유동법칙의 역할)

  • 이연규
    • Tunnel and Underground Space
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    • v.10 no.2
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    • pp.173-179
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    • 2000
  • The influence of the plastic flow rules on the elasto-plastic behaviour of a discrete joint element was investigated by performing the numerical direct shear tests under both constant normal displacement and normal displacement conditions. The finite interface elements obeying Plesha’s joint constitutive law was used to allow the relative motion of the rock blocks on the joint surface. Realistic results were obtained in the tests adopting the non-associated flow rule, while the associated flow rule overestimated the joint dilation. To overcome the computational drawbacks coming from the non-symmetric element stiffness matrix in the conventional non-associated plasticity, the symmetric formulation of the tangential stiffness matrix for a non-associated joint element was proposed. The symmetric elasto-plastic matrix it derived by assuming an imaginary equivalent joint with associated flow rule which shows the same plastic response as that of original Joint with non-associated flow rule. The validity of the formulation was confirmed through the numerical direct shear tests under constant normal stress condition.

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Post-buckling Behaviour of Aluminium Alloys Rectangular Plate Considering the Initial Deflection Effect (초기 처짐 영향을 고려한 알루미늄 합금 사각형 판의 좌굴 후 거동)

  • Oh, Young-Cheol;Kang, Byoung-Mo;Ko, Jae-Yong
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.20 no.6
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    • pp.738-745
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    • 2014
  • In this paper, It is performing to the elastic and elasto-plastic large deformation series analysis using a numerical method for the initial deflection effect of the aluminum alloy rectangular plate in the elasto-plastic loading area patch loading size. It is assumed a boundary condition to be a simply supported condition and consider the initial deflection amplitude, aspect ratio. It examined the critical elastic buckling load and post-buckling behaviour of aluminium alloy A6082-T6 rectangular plate. It used a commercial program for the elastic and elasto-plastic deformation series analysis. If the initial deflection amplitude is smaller, the in-plane rigidity with increasing to load is reduced from the start and occurs significantly more increasing the amplitude. More higher the aspect ratio, the initial yield strength is gradually decreased, and the plate thickness thicker and occurs larger than the thin walled plate a reduction ratio of the initial yield strength of the patch loading size as 0.5.