• 제목/요약/키워드: hardening model

검색결과 577건 처리시간 0.025초

M-K 모델 기반의 박판금속 성형성 평가에서 물성의 영향에 대한 해석적 연구 (Analytical Study of the Effect of Material Properties on the Formability of Sheet Metals based on the M-K Model)

  • ;김석봉;허훈
    • 소성∙가공
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    • 제19권7호
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    • pp.393-398
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    • 2010
  • This paper investigates the effect of material properties on the formability of sheet metals based on the Marciniak-Kuczynski model (M-K model). The hardening behavior of the material is modeled as the Hollomon model with the strain rate effect. The yield surfaces are constructed with Hosford79 yield function. The material properties considered in this study include the R-value, the strain hardening exponent, the strain rate hardening exponent, and the crystal structure of the material. The effect of the crystal structure on formability is roughly expressed as the change of the yield surface by varying the value of the exponent in Hosford79 yield function. Results show that the R-value affects neither the magnitude nor the shape of right hand side of forming limit diagrams (FLDs). Higher strain hardening exponent and higher strain rate hardening exponent improve the formability of sheet metals because they stabilize the forming processes.

A hardening model considering grain size effect for ion-irradiated polycrystals under nanoindentation

  • Liu, Kai;Long, Xiangyun;Li, Bochuan;Xiao, Xiazi;Jiang, Chao
    • Nuclear Engineering and Technology
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    • 제53권9호
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    • pp.2960-2967
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    • 2021
  • In this work, a new hardening model is proposed for the depth-dependent hardness of ion-irradiated polycrystals with obvious grain size effect. Dominant hardening mechanisms are addressed in the model, including the contribution of dislocations, irradiation-induced defects and grain boundaries. Two versions of the hardening model are compared, including the linear and square superposition models. A succinct parameter calibration method is modified to parametrize the models based on experimentally obtained hardness vs. indentation depth curves. It is noticed that both models can well characterize the experimental data of unirradiated polycrystals; whereas, the square superposition model performs better for ion-irradiated materials, therefore, the square superposition model is recommended. In addition, the new model separates the grain size effect from the dislocation hardening contribution, which makes the physical meaning of fitted parameters more rational when compared with existing hardness analysis models.

이중 후방 응력 경화 모델을 이용한 주기 하중에서의 래쳐팅 거동 현상 연구 (Simulation of Ratcheting Behavior under Stress Controlled Cyclic Loading using Two-Back Stress Hardening Constitutive Relation)

  • 홍성인;황두순;윤수진
    • 소성∙가공
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    • 제17권1호
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    • pp.19-26
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    • 2008
  • In the present work, the ratcheting behavior under uniaxial cyclic loading is analyzed. A comparison between the published and the results from the present model is also included. In order to simulate the ratcheting behavior, Two-Back Stress model is proposed by combining the non-linear Armstrong-Frederick rule and the non-linear Phillips hardening rule based on kinematic hardening equation. It is shown that some ratcheting behaviors can be obtained by adjusting the control material parameters and various evolutions of the kinematic hardening parameter can be obtained by means of simple combination of hardening rules using simple rule of mixtures. The ultimate back stress is also derived for the present combined kinematic hardening models.

An elastoplastic bounding surface model for the cyclic undrained behaviour of saturated soft clays

  • Cheng, Xinglei;Wang, Jianhua
    • Geomechanics and Engineering
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    • 제11권3호
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    • pp.325-343
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    • 2016
  • A total stress-based bounding surface model is developed to predict the undrained behaviour of saturated soft clays under cyclic loads based on the anisotropic hardening modulus field and bounding-surface theories. A new hardening rule is developed based on a new interpolation function of the hardening modulus that has simple mathematic expression and fewer model parameters. The evolution of hardening modulus field is described in the deviatoric stress space. It is assumed that the stress reverse points are the mapping centre points and the mapping centre moves with the variation of loading and unloading paths to describe the cyclic stress-strain hysteresis curve. In addition, by introducing a model parameter that reflects the accumulation rate and level of shear strain to the interpolation function, the cyclic shakedown and failure behaviour of soil elements with different combinations of initial and cyclic stresses can be captured. The methods to determine the model parameters using cyclic triaxial compression tests are also studied. Finally, the cyclic triaxial extension and torsional shear tests are performed. By comparing the predictions with the test results, the model can be used to describe undrained cyclic stress-strain responses of elements with different stress states for the tested clays.

얇은 판상의 석출을 포함한 결정의 초기항복응력 이방성 및 경화거동에 관한 모델링 (Modeling the Anisotropy of Initial Yield Strength and Hardening Behavior of Crystals with Thin Platelet Precipitates)

  • 김준형;한정석;강태진;정관수
    • 소성∙가공
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    • 제14권6호
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    • pp.496-501
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    • 2005
  • Precipitates, present in most commercial alloys, can have a strong influence on strength and hardening behavior of a single crystal. The effect of thin precipitates on the anisotropy of initial slip resistance and hardening behavior of crystals is modeled in this article. For the convenience of the computational derivation and implementation, the material formulation is given in the unrelated intermediate configuration mapped by the plastic part of the deformation gradient. Material descriptions for the considered two phased aggregates consisting in lattice hardening as well as isotropic hardening and kinematic hardening are suggested. Numerical simulations of various loading cases are presented to discuss and assess the performance of the suggested model. From the results of the numerical simulation, it is found that the suggested model represents the initial plastic anisotropy at least qualitatively well and that it has an improved representation of various characteristic hardening behaviors in comparison with conventional hardening descriptions where the precipitate structure is not reflected.

일반 등방경화 구성관계에 대한 내재적인 음력적분 : 1. 정식화 (Implicit Stress Integration of the Generalized Isotropic Hardening Constitutive Model : 1. Formulation)

  • 오세붕;이승래
    • 한국지반공학회지:지반
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    • 제12권4호
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    • pp.145-156
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    • 1996
  • 연약한 지반의 거동을 적절하게 표현할 수 있는 일반 등방경화 규칙에 근거한 비등방경화 구성모델을 비선형 유한요소해석에 적용하기 위하여 내재적인 응력적분기법을 정식화하였다. 정식화된 응력적분기법은 비선형 해석시에 필요한 응력을 일반 사다리꼴규칙에 의하여 내재적으로 적분하고 응력변형률 접선계수를 비선형 해법에 일관되게 도출할 수 있다. 이러한 알고리즘을 통하여 해의 정확도 및 수렴도를 확보할 수 있으므로, 비등방경화 구성 관계를 적용한 비선형 해석을 정확하고 효율적으로 수행할 수 있는 토대를 구축할 수 있었다.

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레이저 표면경화공정에서 신경회로망을 이용한 경화층깊이 추정 (Estimation of Hardened Depth in Laser Surface Hardening Processes Using Neural Networks)

  • 박영준;조형석;한유희
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1907-1914
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    • 1995
  • An on-line measurement of the workpiece hardened depth in laser surface hardening processes is very much difficult to achieve, since the hardening process occurs in depth wise direction. In this paper, the hardened depth is estimated using a multilayered neural network. Input data of the neural network are the surface temperatures at arbitrary chosen five surface points, laser power and traveling speed of laser beam torch. To simulate the actual hardening process, a finite difference method(FDM) is used to model the process. Since this model yields the calculation results of the temperature distribution around the workpiece volume in the vicinity of the laser torch, this model is used to obtain the network's training data and laser to evaluate the performance of the neural network estimator. The simulation results show that the proposed scheme can be used to estimate the hardened depth with reasonable accuracy.

비등방경화 구성모델을 적용한 연약 지반의 비배수 거동 해석: I. 구성모델 (Undrained Analysis of Soft Clays Using an Anisotropic Hardening Constitutive Model: I. Constitutive Model)

  • 오세붕
    • 한국지반공학회논문집
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    • 제15권6호
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    • pp.121-130
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    • 1999
  • 본 연구는 전응력 개념에 근거한 비등방경화 구성관계를 적용하여 유한요소해석을 수행하는 데 목적이 있다. 이에 대상문제에 적합한 비등방경화 구성관계를 개발하여 수학적으로 정식화하고 실험적으로 검증하였다. 동반논문에서는 유한요소해법의 정확도와 수렴성을 확보하도록 정식화하여 해석코드에 구현한 후 실제문제를 해석한다. 제안된 구성관계는 von Mises 형태의 파괴규준과 일반 등방경화규칙에 의거한 비등방경화규칙을 채택하여 비선형성과 비등방성이 심한 응력-변형률 관계를 모델하였다. 결과적으로 UU 삼축시험, 과압밀 상태에 대한 CU 삼축시험, $K_0$ 압밀조건의 주응력축 회전시 비등방적 거동에 대하여 검증할 수 있었다.

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항복함수 및 경화모델에 따른 DP980 강판의 스프링백 예측 (Spring-back Prediction of DP980 Steel Sheet Using a Yield Function with a Hardening Model)

  • 김재홍;강길석;이현석;김지훈;김병민
    • 소성∙가공
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    • 제25권3호
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    • pp.189-194
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    • 2016
  • In the current study, spring-back of DP980 steel sheet was numerically evaluated for U-bending using a yield function with a hardening model. For spring-back prediction, two types of yield functions - Hill'48 and Yld2000-2d - were considered. Additionally, isotropic hardening and the Yoshida-Uemori model were used to investigate the spring-back behavior. The parameters for each model were obtained from uniaxial tension, uniaxial tension-compression, uniaxial tension-unloading and hydraulic bulging tests. The numerical simulations were performed using the commercial software, PAM-STAMP 2G. The results were compared with experimental data from a U-bending process.

레이저 표면경화공정에서 신경회로망을 이용한 경화층깊이의 측정 (Estimation of hardening depth using neural network in LASER surface hardening process)

  • 박영준;우현구;조형석;한유희
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.212-217
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    • 1993
  • In this paper, the hardening depth in Laser surface hardening process is estimated using a multilayered neural network. Input data of the neural network are surface temperature of five points, power and travelling speed of Laser beam. A FDM(finite difference method) is used for modeling the Laser surface hardening process. This model is used to obtain the network's training data sample and to evaluate the performance of the neural network estimator. The simulational results showed that the proposed scheme can be used to estimate the hardening depth on real time.

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