• Title/Summary/Keyword: Rigid Plasticity

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A Comparative Study for Incompressibility of Rigid Plastic Finite Element Method (강소성 유한요소법에서 비압축성조건에 관한 비교 연구)

  • 이상재;조종래;배원병;김영호
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.10a
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    • pp.40-44
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    • 1997
  • The governing functional in plastic deformation has to satisfy the incompressible condition. This incompressible condition imposed on the velocity fields can be removed by introducing either the Langrange multiplier or the penalty function into the functional. In the study two-dimensional rigid plastic FEM programs using by Lagrange multiplier and penalty function are developed. A compression of cylinder and a spike forging are simulated to compare the data of loads, local mean stresses and reductions of volume.

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A Comparative Study for Incompressibility of Rigid Plastic Finite Element Method (강소성 유한요소법에서 비압축성조건에 관한 비교 연구)

  • 이상재;조종래;배원병;김영호
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.10a
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    • pp.57-61
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    • 1997
  • The governing functional in plastic deformation has to satisfy the incompressible condition. This incompressible condition imposed on the velocity fields can be removed by introducing either the Langrange multiplier or the penalty function into the functional. In this study two-dimensional rigid plastic FEM programs using by Langrange multiplier and penalty function are developed. A compression of cylinder and a spike forging are simulated to compare the data of loads, local mean stresses and reductions of volume.

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Finite Element Analysis of Micro Forming Process by Crystal Plasticity (결정소성학에 의한 미세 성형공정의 유한요소해석)

  • Kim H. K.;Oh S. I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.05a
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    • pp.209-212
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    • 2001
  • It is known that the mim forming processes show somewhat different phenomena compared with the conventional metal forming processes, namely, the size effect, enhanced friction effect and etc. Such typical phenomena, however, are not predicted by the conventional finite element analysis, which has been an efficient numerical tool to predict the metal forming processes. It is due to the fact that the constitutive relations used does not describe the microstructural characteristics of the materials. In the present investigation, the finite element formulation using the rate-dependent rigid plastic crystal plasticity model of the face-centered cubic materials is conducted to predict the micro mechanical behaviors during the mim forming processes. The finite element analysis, however, provides mesh-dependent solutions for the intragranular deformations. Therefore, the couple stress energy is additionally introduced into the variational principle and formulated within the framework of the rigid plastic finite element method to obtain mesh-independent solutions. Micro deformations of single crystal and bicrystal with various orientations are calculated to show the potential of the developed formulation.

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Rigid-Plastic Finite Element Analysis of a Ring Rolling Process of the Inner Race Cage of a Constant Velocity Joint (등속조인트 인너레이스 케이지 링 압연공정의 강소성 유한요소해석)

  • Moon, H.K.;Park, J.H.;Lee, M.C.;Joun, M.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.05a
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    • pp.352-356
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    • 2007
  • In this study, a rigid-plastic finite element method is applied to simulating a ring rolling process of the inner race cage of a constant velocity joint for the passengers' cars. The ring rolling process is mathematically modeled by several assumptions. The defect formation at the side ends is predicted in detail. The predictions are compared with the experiments and a good agreement is observed in terms of deformed shape.

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The Least-Squares Meshfree Method for the Analysis of Rigid-Plastic Deformation (강소성 변형 해석을 위한 최소 제곱 무요소법)

  • 윤성기;권기찬
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.12
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    • pp.2019-2031
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    • 2004
  • The least-squares formulation for rigid-plasticity based on J$_2$-flow rule and infinitesimal theory and its meshfree implementation using moving least-squares approximation are proposed. In the least-squares formulation the squared residuals of the constitutive and equilibrium equations are minimized. Those residuals are represented in a form of first-order differential system using the velocity and stress components as independent variables. For the enforcement of the boundary and frictional contact conditions, penalty scheme is employed. Also the reshaping of nodal supports is introduced to avoid the difficulties due to the severe local deformation near the contact interface. The proposed least-squares meshfree method does not require any structure of extrinsic cells during the whole process of analysis. Through some numerical examples of metal forming processes, the validity and effectiveness of the method are investigated.

Study on the Irregular Shape Rolling Process (비대칭 형상 압연 공정에 대한 연구)

  • 김용철;김동진;김병민
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.08a
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    • pp.98-106
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    • 1999
  • In this study cold rolling process for the irregular cross-sectional shape has been investigated. The product analyzed in present study is the steel cutter, which is frequently used to cut the desired shape on leather. Because steel cutter always has a irregular cross-section, after rolling process the workpiece is severely bended to every direction. The bending of the workpiece affects the processed performed after rolling such as heat treatment and grinding, then that of the workpiece becomes more severe. In this study, therefore, to prevent the bending of the workpiece to the left and right sides. rigid-plastic finite element method has been utilized and in order to find optimal roll geometry rapidly, one dimensional equal interval search technique has been also introduced. By using both rigid plastic finite element method and optimum technique, cold rolling process for the irregular cross-sectional shape has been successfully investigated.

Process Design in Shell Nosing for Net-Shape Product by the Backward Tracing Schme of the Rigid-Plastic FEM (유한요소법의 역추적기법을 활용한 정밀정형 노우징 부품의 성형 공정설계)

  • 김상현;이진희;강범수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.03a
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    • pp.224-232
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    • 1995
  • A process is designed by the backward tracing scheme of the rigid-plastic FEm for net-shape shell nosing component without machining after forming. The current process of the shell nosing industry requires cost-consuming machining to produce final product . The backward tracing scheme of the rigid-plastic FEM, a novel method in preform design of metal forming processes , derives a sound preform for net-shape shell nosing product . The current process is simulated to check the metal flow involved informing with a trial preform and its modified preform. It is found that the two preforms are not suitable for net-shape shell nosing product. Finally, a preform is desinged by the backward tracing scheme, which is suitable for net-shape manufacturing of the shell nosing component.

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Three Dimensional Simulation of Edge-Plate Rolling Process Using Rigid Plastic Finite Element Method (강소성 유한요소법을 이용한 에지-평압연 공정의 삼차원 해석)

  • 이동재;오수익
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.03a
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    • pp.244-248
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    • 1997
  • In the rolling process, keeping the accuracy of the slab width is a very important problem. So the edge rolling is used with the plate rolling. But in the edge rolling, a local contraction of width, called "width necking", occurs in the top and tail portion of a slab and becomes the cause of crop loss. In this investigation, the three dimensional deformation behavior in the edge-plate rolling is simulated by rigid plastic FEM(PROLL). And the influence of the rolling condition on "width necking" and the accuracy of width is examined.

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New Flexural Failure Mechanisms for Uniform Compression Stress Fields (균일한 압축장에 대한 새로운 휨 형태의 파괴 매캐니즘)

  • 홍성걸
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.546-551
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    • 1997
  • New typology of failure mechanisms for uniform compression fields are presented based on the classical theory of plasticity, in particular th normality rule, and the limit theorem. The concrete is assumed as a rigid-perfectly plastic material obeying the modified Coulomb failure criteria with zero tension cut-off. The failure mechanisms are capable of explaining flexural types of crushing failure in uniaxial uniform compression stress fields which are called struts in truss models. The failure mechanisms consist of sliding failure along straight failure lines or hyperbolic failure curves and rigid body rotation. The failure mechanisms involving straight failure lines are explained by constant strain expansion in the first principal direction and rigid body rotation motion. The failure mechanisms presented are applied to the explanation of bond failure of bar combined with concrete crushing failure and flexural crushing failure of concrete.

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A Three-Dimensional Rigid-Viscoplastic Finite Element Analysis of a Hot Square Die Extrusion with Flow Guide (플로우가이드를 고려한 평금형 열간 압출의 3차원 강-점소성 유한요소해석)

  • 강연식;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1996.03b
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    • pp.138-144
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    • 1996
  • In square die extrusion, flow guide and ide land play important roles for controlling the metal flow in die design. In the present work, the flow guide and the die land are considered for the die construction. Based on ALE description , rigid-viscoplastic finite element analysid is carried out to assess the effects of process and die design parameters. The thermal state affects greatly the product quality in hot extrusion. in the present work, the temperature distribution is also analyzed in theframwork of rigid-viscoplastic finite element computation. As a computational example, hot square die extrusion with flow guide and die land has been analyzed for the profile of a H section.

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