• Title/Summary/Keyword: Finite plastic deformation

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A Study on the Formability of Ellipse Panel by Finite Element Method (유한요소법에 의한 타원 판넬의 성형성에 관한 연구)

  • Kang, D.M.
    • Journal of Power System Engineering
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    • v.3 no.2
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    • pp.89-97
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    • 1999
  • In this paper the forming simulations of ellipse bulge have been researched by using $PAM-STAMP_{TM}$ to estimate the sheet metal forming and the plastic deformation characteristic of ellipse bulge. Thin elliptical diaphragms of brass, copper, aluminum, and mild steel are bulged in elliptical dies having aspect ratios of 1.33 and 2. In order to compare the simulation results with the experiment and ellipse bulge's theory derived by using Johnson and Duncan's theory, the relations of hydraulic pressure and polar height, polar thickness strain and polar height, were compared. According to this study, the results of simulation and ellipse bulge's theory derived by using Johnson and Duncan's theory, and the bursting pressure and the bursting polar height are good agreement to the experiment. So, the results of simulation by using $PAM-STAMP_{TM}$ and the ellipse bulge's theory will give engineers good information to make assessment the formability and plastic deformation characteristic of hydraulic ellipse bulge test.

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Analysis of Anisotropic Plasticity of Additively Manufactured Structure using Modified Return Mapping Method (개선된 회귀착점 방법을 이용한 이방성 적층구조물의 소성해석)

  • Yang, Seung-Yong;Jin, Doo-Han;Kim, Jeoung-Han
    • Journal of Powder Materials
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    • v.29 no.4
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    • pp.303-308
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    • 2022
  • The plastic deformation behavior of additively manufactured anisotropic structures are analyzed using the finite element method (FEM). Hill's quadratic anisotropic yield function is used, and a modified return-mapping method based on dual potential is presented. The plane stress biaxial loading condition is considered to investigate the number of iterations required for the convergence of the Newton-Raphson method during plastic deformation analysis. In this study, incompressible plastic deformation is considered, and the associated flow rule is assumed. The modified return-mapping method is implemented using the ABAQUS UMAT subroutine and effective in reducing the number of iterations in the Newton-Raphson method. The anisotropic tensile behavior is computed using the 3-dimensional FEM for two tensile specimens manufactured along orthogonal additive directions.

Fixed-point Iteration for the Plastic Deformation Analysis of Anisotropic Materials (이방성 재료의 소성변형 해석을 위한 고정점 축차)

  • Seung-Yong Yang;Jeoung Han Kim
    • Journal of Powder Materials
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    • v.30 no.1
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    • pp.29-34
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    • 2023
  • A fixed-point iteration is proposed to integrate the stress and state variables in the incremental analysis of plastic deformation. The Conventional Newton-Raphson method requires a second-order derivative of the yield function to generate a complicated code, and the convergence cannot be guaranteed beforehand. The proposed fixed-point iteration does not require a second-order derivative of the yield function, and convergence is ensured for a given strain increment. The fixed-point iteration is easier to implement, and the computational time is shortened compared with the Newton-Raphson method. The plane-stress condition is considered for the biaxial loading conditions to confirm the convergence of the fixed-point iteration. 3-dimensional tensile specimen is considered to compare the computational times in the ABAQUS/explicit finite element analysis.

Engineering J-Integral Estimation for Internal Axial Surface Cracks in Cylinders (I) -Deformation Plasticity Based Estimation- (실린더에 존재하는 축방향 표면균열에 대한 공학적 J-적분식 (I) - 변형소성에 기초한 방법-)

  • Kim, Jin-Su;Kim, Yun-Jae;Park, Yeong-Jae;Kim, Yeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.8
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    • pp.1672-1679
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    • 2002
  • This paper provides an engineering J estimation equation for cylinders with finite internal axial surfacecracks under internal pressure. The proposed equation is the J estimation equation based on deformation plasticity using Ramberg-Osgood (R-O) materials. Based on detailed 3-D FE results using deformation plasticity, plastic influence functions for fully plastic J components are tabulated for practically interesting ranges of the mean radius-to-thickness ratio, the crack depth-to-length ratio, the crack depth-to-thickness ratio. the strain hardening index for the R-O material, and the location along the semi-elliptical crack front. Based on tabilated plastic influence functions, the J estimation equation along the crack front is proposed and validated for R-O materials. Good agreements between the FE results and the proposed J estimation provide confidence in the use of the proposed method to elastic-plastic fracture mechanics of pressurized piping.

Analysis of the Hot Deformation of Porous metals by Finite Element Method (유한요소법을 이용한 다공성금속의 고온변형해석)

  • 한흥남;이용기;오규환;이동녕
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.149-156
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    • 1994
  • The thermomechanical elasto-plastic problems in hot forging of the porous metals are analyzed using the thermo-elasto-plastic finite element method. This finite element program has been formulated using the yield condition advanced by Lee and Kim and developed using the thermo-elasto-plastic time integration procedure. Thermomechanical responses and densification behaviors of the porous metals during hot forging are calcucated at various initial relative densities, strain rates and temperatures. The calculated results are in good agreement with experimental data.

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Effects of Processing Routes on the Deformation Behavior of an AZ61 Mg Alloy by Half Channel Angular Extrusion(HCAE) using 3D Finite Element Analysis (유한요소해석을 이용한 HCAE 공정의 가공 경로가 AZ61 마그네슘 합금의 변형 특성에 미치는 영향에 대한 연구)

  • Lee, S.I.;Yoon, J.H.;Kim, K.J.
    • Transactions of Materials Processing
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    • v.23 no.3
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    • pp.151-158
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    • 2014
  • Half channel angular extrusion(HCAE) is the integration of equal channel angular extrusion(ECAE), which is a well-known severe plastic deformation(SPD) method, with conventional forward extrusion in order to increase the strain per pass and effectiveness of the grain refinement. In the current study, the effects of processing routes during HCAE(Routes A, B, and C) on the strain distribution of the specimens have been investigated for an AZ61 Mg alloy by using three-dimensional finite element analysis. Comparisons with the results from a multi-pass of ECAE are made.

Sensitivity Analysis of the Explicit Elasto-plastic Finite Element Method and Application to the Quasi-static Deformation (외연적 탄소성 유한요소해석에서의 민감도 해석과 준정적 변형에의 응용)

  • Kim, Se-Ho;Huh, Hoon
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.402-407
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    • 2001
  • Sensitivity analysis scheme is developed in the elasto-plastic finite element method with explicit time integration using direct differentiation method. The direct differentiation is concerned with the time integration, constitutive relation, shell element with reduced integration and the contact scheme. Sensitivity analysis results are mainly examined with the highly nonlinear and quasi-static problem with the complicated contact condition. The result shows stable sensitivity especially in the sheet metal forming analysis.

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Elastic-Plastic Finite Element Analysis of TiN Thin Film (TiN 박막의 탄소성 유한요소해석)

  • 김정실;김석삼
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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    • pp.331-340
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    • 2001
  • Elastic-Plasitc Finite element analysis is peformed about the TiN coated medium. The normal contact is simulated by a rigid asperity pressing the surface of an elastic-plastic half-surface. The case of a surface film stiffer than the substrate is considered, and general solutions for the subsurface stress and deformation fields are presented for several coating thickness. Additionally, the critical normal loads for deformation in the substrate and coating fracture are calculated when the yield of TiN film follows the Maximum Principal Stress Theory and Von Mises Theory. The results can be subsumed in failure maps for TiN thin film on steel.

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Analysis of elastic-plastic large deformation for polycrystalline solids (다결정체의 탄소성 대변형해석)

  • Kim, Young-Suk;Kim, Jung-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1291-1297
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    • 1997
  • Elastic-plastic finite element(FE) simulation was performed for polycrystalline solids subjected to plane strain tensile loading. Using Asaro's double slip crystal plasticity model, the polycrystalline solids were modeled by assigning different initial slip directions to each grain. From the FE calculations, the microscopic deformation characteristics of polycrystalline solids were analyzed. Moreover, the effect of grain size and grain boundaries on the deformation characteristics were clarified.

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.