• 제목/요약/키워드: Crystal plasticity finite element method

검색결과 29건 처리시간 0.023초

3차원 결정소성 유한요소해석을 통한 변형 집합조직 예측 (Prediction of Deformation Texture Based on a Three-Dimensional Crystal Plasticity Finite Element Method)

  • 정경환;김동규;임용택;이용신
    • 소성∙가공
    • /
    • 제21권4호
    • /
    • pp.252-257
    • /
    • 2012
  • Crystallographic texture evolution during forming processes has a significant effect on the anisotropic flow behavior of crystalline material. In this study, a crystal plasticity finite element method (CPFEM), which incorporates the crystal plasticity constitutive law into a three-dimensional finite element method, was used to investigate texture evolution of a face-centered-cubic material - an aluminum alloy. A rate-dependent polycrystalline theory was fully implemented within an in-house program, CAMPform3D. Each integration point in the element was considered to be a polycrystalline aggregate consisting of a large number of grains, and the deformation of each grain in the aggregate was assumed to be the same as the macroscopic deformation of the aggregate. The texture evolution during three different deformation modes - uniaxial tension, uniaxial compression, and plane strain compression - was investigated in terms of pole figures and compared to experimental data available in the literature.

결정소성 유한요소법을 이용한 FCC 다결정 금속의 압연 집합조직 예측 (Prediction of Rolling Texture Evaolution in FCC Polycrystalline Metals Using Finite Element Method of Crystal Plasticity)

  • 박성준;조재형;한흥남;오규환
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 1999년도 제3회 압연심포지엄 논문집 압연기술의 미래개척 (Exploitation of Future Rolling Technologies)
    • /
    • pp.313-319
    • /
    • 1999
  • The development of deformation texture in FCC polycystalline metals during rolling was simulated by the finite element analysis using a large-deformation, elaatic-plastic, rate-dependent polycrystalline model of crystal plasticity. Different plastic anisotropy due to different orientation of each crystal makes inhomogeneous deformation. Assuming plane strain compression condition, the simulation with a high rate sensitivity resulted in main component change from Dillamore at low rate sensitivity to Brass component.

  • PDF

단결정 압축 변형 거동의 변형구배 결정소성 유한요소해석 (Strain Gradient Crystal Plasticity Finite Element Modeling for the Compression Behaviors of Single Crystals)

  • 정재호;조경목;최윤석
    • 한국재료학회지
    • /
    • 제27권12호
    • /
    • pp.679-687
    • /
    • 2017
  • A strain-gradient crystal plasticity finite element method(SGCP-FEM) was utilized to simulate the compressive deformation behaviors of single-slip, (111)[$10{\bar{1}}$], oriented FCC single-crystal micro-pillars with two different slip-plane inclination angles, $36.3^{\circ}$ and $48.7^{\circ}$, and the simulation results were compared with those from conventional crystal plasticity finite element method(CP-FEM) simulations. For the low slip-plane inclination angle, a macroscopic diagonal shear band formed along the primary slip direction in both the CP- and SGCP-FEM simulations. However, this shear deformation was limited in the SGCP-FEM, mainly due to the increased slip resistance caused by local strain gradients, which also resulted in strain hardening in the simulated flow curves. The development of a secondly active slip system was altered in the SGCP-FEM, compared to the CP-FEM, for the low slip-plane inclination angle. The shear deformation controlled by the SGCP-FEM reduced the overall crystal rotation of the micro-pillar and limited the evolution of the primary slip system, even at 10 % compression.

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

  • 김흥규;오수익
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 2001년도 춘계학술대회 논문집
    • /
    • pp.209-212
    • /
    • 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.

  • PDF

속도의존성 결정소성 모델 기반의 유한요소해석을 통한 BCC 금속의 변형 집합조직 예측 (Prediction of Deformation Texture in BCC Metals based on Rate-dependent Crystal Plasticity Finite Element Analysis)

  • 김동규;김재민;박원웅;임용택;이용신
    • 소성∙가공
    • /
    • 제23권4호
    • /
    • pp.231-237
    • /
    • 2014
  • In the current study, a rate-dependent crystal plasticity finite element method (CPFEM) was used to simulate flow stress behavior and texture evolution of a body-centered cubic (BCC) crystalline material during plastic deformation at room temperature. To account for crystallographic slip and rotation, a rate-dependent crystal constitutive law with a hardening model was incorporated into an in-house finite element program, CAMPform3D. Microstructural heterogeneity and anisotropy were handled by assigning a crystallographic orientation to each integration point of the element and determining the stiffness matrix of the individual crystal. Uniaxial tensile tests of single crystals with different crystallographic orientations were simulated to determine the material parameters in the hardening model. The texture evolution during four different deformation modes - uniaxial tension, uniaxial compression, channel die compression, and simple shear deformation - was investigated based on the comparison with experimental data available in the literature.

밀리봉의 압출/인발의 유한요소해석 (Finite Element Analysis for Extrusion/Drawing of Milli-Size Bar)

  • 김용일;이용신
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 2000년도 추계학술대회 논문집
    • /
    • pp.70-73
    • /
    • 2000
  • A finite element analysis model is suggested for analysis of forming process of milli structure whose size is from a few hundreds ${\mu}m$ to a few mm. In this paper, finite element formulation which assemble crystal plasticity theory considering texture development with damage mechanics is developed, since orientation development and growth of micro voids became the primary factors for deformation aspects in large deformation of milli structure. Applying to, extremely, extrusion process of single crystal and extrusion/drawing process of polycrystal milli-size bar, extrusion force, preferred orientation, and damage evolution are examined to understand the characteristics of deformation of milii-size bar.

  • PDF

변형구배 결정소성 유한요소해석법을 이용한 니켈기 다결정 합금의 Hall-Petch 관계 모델링 (Modeling the Hall-Petch Relation of Ni-Base Polycrystalline Superalloys Using Strain-Gradient Crystal Plasticity Finite Element Method)

  • 최윤석;조경목;남대근;최일동
    • 한국재료학회지
    • /
    • 제25권2호
    • /
    • pp.81-89
    • /
    • 2015
  • A strain-gradient crystal plasticity constitutive model was developed in order to predict the Hall-Petch behavior of a Ni-base polycrystalline superalloy. The constitutive model involves statistically stored dislocation and geometrically necessary dislocation densities, which were incorporated into the Bailey-Hirsch type flow stress equation with six strength interaction coefficients. A strain-gradient term (called slip-system lattice incompatibility) developed by Acharya was used to calculate the geometrically necessary dislocation density. The description of Kocks-Argon-Ashby type thermally activated strain rate was also used to represent the shear rate of an individual slip system. The constitutive model was implemented in a user material subroutine for crystal plasticity finite element method simulations. The grain size dependence of the flow stress (viz., the Hall-Petch behavior) was predicted for a Ni-base polycrystalline superalloy NIMONIC PE16. Simulation results showed that the present constitutive model fairly reasonably predicts 0.2%-offset yield stresses in a limited range of the grain size.

강소성 유한 요소 해석에 연계한 Rate-Independent 결정소성학을 이용한 3차원 알루미늄 압출재에서의 변형 집합 조직 예측 (Prediction of Texture Evolution of Aluminum Extrusion Processes using Rigid-Plastic Finite Element Method based on Rate-Independent Crystal Plasticity)

  • 김경진;양동열;윤정환
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 2005년도 춘계학술대회 논문집
    • /
    • pp.485-488
    • /
    • 2005
  • Most metals are polycrystalline material whose deformation is dominated by the slip system. During the deformation process, orientation of slip systems is rearranged with preferred orientations, leading to deformation-induced crystallographic texture which is called deformation texture. Depending on the texture development, the property of material can be changed. The rate-independent crystal plasticity which is based on the Schmid law as a yield function causes a non-uniqueness in the choice of active slip systems. In this work, to avoid the slip system ambiguity problem, rate-independent crystal plasticity model based on the smooth yield surface with rounded-off corners is adopted. In order to simulate the polycrystalline material under plastic deformation, we employ the Taylor model of polycrystal behavior that all the grains are assumed to be subjected to the macroscopic velocity gradient. Rigid-plastic finite element program based on this rate-independent crystal plasticity is developed to predict the grain-level deformation behavior of FCC metals during metal forming processes. In the finite element calculation, one integration point is considered as a crystalline aggregate which has a number of crystals. Macroscopic behavior of material can be deduced from the behavior of aggregates. As applications, the extrusion processes are simulated and the changes of mechanical properties are predicted.

  • PDF

결정소성 유한요소해석에 의한 극박 스테인리스강의 성형한계선도 예측 (Forming Limit Diagram Prediction for Ultra-Thin Ferritic Stainless Steel Using Crystal Plasticity Finite Element Method)

  • 봉혁종;이명규;한흥남
    • 소성∙가공
    • /
    • 제26권3호
    • /
    • pp.144-149
    • /
    • 2017
  • In order to characterize the macroscopic mechanical response of ultra-thin (0.1 mm thick) ferritic stainless steel sheet at various loading paths, a crystal plasticity finite element method (CP-FEM) was introduced. The accuracy of the prediction results was validated by comparing with the experimental data. Based on the results, the forming limit diagram (FLD) was predicted using a modified Marchinicak-Kuczinski model coupled to a non-quadratic anisotropic yield function, namely, Yld2000-2d. The predicted FLD was found to be in good agreement with the experimental data.

다결정재의 이방성 탄.점소성 유한요소해석 (Anisotropic Elasto-Viscoplastic Finite Element Analysis for Polycrystalline Materials)

  • 이용신;김응주
    • 한국CDE학회논문집
    • /
    • 제2권2호
    • /
    • pp.71-76
    • /
    • 1997
  • The deformations of polycrystalline materials are modelled by linking a constitutive equation for the crystallographic slip of a single crystal to the macroscopic behavior of the aggregate. In this study, anisotropic elasticity (lattice stretching) of a cubic crystal is incoporated into the anisotropic plasticity from crystallographic slip. The constitutive description for the aggregate, derived from a crystal plasticity theory, is used to formulate a Consistent Penalty Finite Element Method for the anisotropic elasto-viscoplastic deformation of polycrystalline materials. As an application, a plane-strain forging process is simulated and the effects of the initial textures on the deformation behavior of the workpiece are examined.

  • PDF