• 제목/요약/키워드: plasticity equation

검색결과 236건 처리시간 0.029초

전산용접역학의 최근 동향 (Recent Development in Computational Welding Mechanics)

  • 임세영;한유성;이계형;한명수;최강혁
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2009년 추계학술발표대회
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    • pp.87-91
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    • 2009
  • Welding is one of the most important joining processes and the effect of welding residual stresses in the structure has a great deal of influence on its quality. In this paper, recent development in computational welding mechanics, particularly calculation of welding residual stresses, is introduced. The hypoelastic formulation of finite element analysis for thermoelastic-plastic deformation is applied to welding processes to find residual deformations and stresses. Leblond's phase evolution equation coupled with the energy equation is employed to calculate the phase volume fraction; this plays an important role as a kinetics parameter affecting phase fraction effects in the mechanical constitutive equation of welded materials. Furthermore, transformation plasticity is taken into account for an accurate evaluation of stress. The influence of the phase transformation and the transformation plasticity on residual stress is investigated by means of numerical analyses using metallurgical parameters in Leblond's phase evolution equation that are adjusted with respect to various cooling rates in a CCT-diagram. Coding implementation is conducted by way of the ABAQUS user subroutines, UMAT.

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인발 방법에 따른 황동관의 변형 해석 (Analysis of Deformation of Brass Tube Drawn By Various Methods)

  • 엄경한
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1995년도 추계학술대회논문집
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    • pp.76-85
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    • 1995
  • The general equation of homogeneous strin for tube drawing has been derived. This can be applied to the general tube drawing method for non-zero plug angle. Also, the derived equation can represent Blazynski's equations for the sinking and tube drawing with a constant plug diameter. The general tube drawing was divided into two steps, sinking and contact drawing zones. The derived equation can calculate the homogeneous strains of the two steps. The various tube drawing methods such as fixed tapered plug, fixed mandrel, fixed back tapered plug, and floating plug have been analysed by the equation and finite element analysis. From the FEM calculations, the total strains and drawing stresses are obtained and consequently the redundancy factor of various drawing methods was analysed. The fixed back tapered plug method showed the largest redundancy factor and the floating plug method had the largest drawing stress.

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딥 러닝을 이용한 인공지능 구성방정식 모델의 개발 (Development of Artificial Intelligence Constitutive Equation Model Using Deep Learning)

  • 문희범;강경필;이경훈;김용환
    • 소성∙가공
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    • 제30권4호
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    • pp.186-194
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    • 2021
  • Finite element simulation is a widely applied method for practical purpose in various metal forming process. However, in the simulation of elasto-plastic behavior of porous material or in crystal plasticity coupled multi-scale simulation, it requires much calculation time, which is a limitation in its application in practical situations. A machine learning model that directly outputs the constitutive equation without iterative calculations would greatly reduce the calculation time of the simulation. In this study, we examined the possibility of artificial intelligence based constitutive equation with the input of existing state variables and current velocity filed. To introduce the methodology, we described the process of obtaining the training data, machine learning process and the coupling of machine learning model with commercial software DEFROMTM, as a preliminary study, via rigid plastic finite element simulation.

열간압연중 압연하중 및 압연동력 예측 모델 (Evaluzation of Model equation Predicting Roll Force and Roll Power during Hot Rolling)

  • 곽우진;황상무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 제3회 압연심포지엄 논문집 압연기술의 미래개척 (Exploitation of Future Rolling Technologies)
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    • pp.308-312
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    • 1999
  • Developed the model equations which calculate roll force, roll power during hot rolling in real time. The variables which mainly effect on the roll force, roll power are shape factor, reduction, roll diameter, roll velocity, strip inlet temperature, carbon content of strip and strip-roll contact friction coefficient. Among these variables roll diameter, roll velocity, inlet temperature, carbon content and friction coefficient can be excluded in interpolated model equation by introducing equation of die force(F'), power(p') of the frictionless uniform plane strain compression which can be calculated without iteration. At the case of coulomb friction coefficient of 0.3, we evaluated coefficient of polynomial equations of {{{{ { F} over {F' } }}}}, {{{{ { Pf} over {Pd }, { Pd} over {P' } }}}} from the result of finite element analysis using interpolation. It was found that the change of values of {{{{ { F} over {F' }, { P} over {P' } }}}} with the friction coefficient tend to straight line which slope depend only on shape factor. With these properties, developed model equations could be extended to other values of coulomb friction coefficient. To verify developed roll force, roll power model equation we compared the results from these model equation with the results from these model equation with the results from finite element analysis in factory process condition.

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용접에서 발생하는 변태소성을 고려한 용접공정의 유한요소 해석 (Finite element analysis of welding process in consideration of transformation plasticity in welding)

  • 임세영
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2003년도 춘계학술발표대회 개요집
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    • pp.210-212
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    • 2003
  • Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformation, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic-plastic constitutive equation proposed by Leblond et al in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastic formulation is employed for efficient numerical integration, and the algorithmic consistent moduli for elastic-plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical example.

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레오로지 소재의 고상입자 변형거동 해석 (Solid Particle Behavior Analysis in Rheology Material by Fortran 90)

  • 권기영;강충길
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2008년도 추계학술대회 논문집
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    • pp.234-237
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    • 2008
  • It was reported that the semi-solid forming process has many advantages over the conventional forming process, such as a long die life, good mechanical properties and energy savings. It is very important, however, to control liquid segregation to gain mechanical property improvement of materials. During forming process, Rheology material has complex characteristics, thixotropic behavior. Also, difference of velocity between solid and liquid in the semi-solid state material makes a liquid segregation and specific stress variation. Therefore, it is difficult for a numerical simulation of the rheology Process to be Performed. General Plastic or fluid dynamic analysis is not suitable for the behavior of rheology material. The behavior and stress of solid particle in the rheology material during forging process is affected by viscosity, temperature and solid fraction. In this study, compression experiments of aluminum alloy were performed under each other tool shape. In addition, the dynamics behavior compare with Okano equation to Power law model which is viscosity equation.

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Interaction fields based on incompatibility tensor in field theory of plasticity-Part I: Theory-

  • Hasebe, Tadashi
    • Interaction and multiscale mechanics
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    • 제2권1호
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    • pp.1-14
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    • 2009
  • This paper proposes an interaction field concept based on the field theory of plasticity. Relative deformation between two arbitrary scales, e.g., macro and micro fields, is defined which can be implemented in the crystal plasticity-based constitutive framework. Differential geometrical quantities responsible for describing dislocations and defects in the interaction field are obtained, based on which dislocation density and incompatibility tensors are further derived. It is shown that the explicit interaction exists in the curvature or incompatibility tensor field, whereas no interaction in the torsion or dislocation density tensor field. General expressions of the interaction fields over multiple scales with more than three scale levels are derived and implemented into the present constitutive equation.

SM570강재의 반복소성모델의 정식화 및 3차원 탄소성 유한요소적용에 관한 연구 (A Study on Generalization of Cyclic Plasticity Model and Application of 3-Dimensional Elastic-Plastic FEM of SM570)

  • 장경호;장갑철;이은택
    • 한국지진공학회논문집
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    • 제8권1호
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    • pp.59-65
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    • 2004
  • 최근 강구조물의 고층화 및 장경간화로 인하여 SM570강재와 같은 고강도 강재의 적용을 필요로 하고 있다. 강구조물의 정확한 내진설계를 위한 내진구조해석시 비선형 반복하중을 받는 강재의 특성을 명확히 포현할 수 있는 구성식이 필요하다. SM570는 최근 그 사용이 증가하고 있으나 아직 반복소성거동의 구현 및 정식화에 관한 연구는 아직 미진하다. 본 연구에서는 인장 및 저싸이클 피로 실험을 통하여 SM570 강재의 반복소성모델을 제안하였다. 제안된 반복소성모델을 3차원 유한요소에 적용하여 SM570이 사용된 원형 강교각의 내진해석을 수행하였다. 실험결과와 내진해석을 통하여 본 연구에서 제안한 구성식은 SM570이 사용된 강구조물의 복잡한 소성거동을 정도 높게 구현함을 알 수 있었다.

상장모델과 유한요소법의 연계해석을 통한 변태소성 전산모사 (Numerical Calculation of Transformation Plasticity Using a FE Analysis Coupled with n Phase Field Model)

  • 조이길;김진유;차필령;이재곤;한흥남
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2009년도 춘계학술대회 논문집
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    • pp.318-321
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    • 2009
  • Transformation plasticity is that when a phase transformation of ferrous or non-ferrous alloys progresses even under an extremely small applied stress compared with a yield stress of the material, a permanent deformation occurs. One of widely accepted description for the transformation was proposed by Greenwood and Johnson [1]. Their description is based on an assumption that a weaker phase of an ideal plastic material could deform plastically to accommodate the externally applied stress and the internal stress caused by the volumetric change accompanying the phase transformation. In this study, an implicit finite element model was developed to simulate the deformation behavior of a low carbon steel during phase transformation. The finite element model was coupled with a phase field model, which could simulate the kinetics for ferrite to austenite transformation of the steel. The thermo-elasto-plastic constitutive equation for each phase was adopted to confirm the weaker phase yielding, which was proposed by Greenwood and Johnson [1]. From the simulation, the origin of the transformation plasticity was quantitatively discussed comparing with the other descriptions of it.

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극저온 재료 성능분석을 위한 온도의존 손상모델 개발 (Development of Temperature Dependent Damage Model for Evaluating Material Performance under Cryogenic Environment)

  • 이경준;김태우;유재신;유성원;전민성;이제명
    • 대한조선학회논문집
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    • 제45권5호
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    • pp.538-546
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    • 2008
  • In this paper, the constitutive equation is developed to analyze the characteristics of strain-induced plasticity in the range of low temperature of 316 stainless steel. The practical usefulness of the developed equations is evaluated by the comparison between experimental and numerical results. For 316 stainless steel, constitutive equations, which represent the characteristics of nonlinear material behavior under the cryogenic temperature environment, are developed using the Bodner's plasticity model. In order to predict the material behaviour such as damage accumulation, Bodner-Chan's damage model is implemented to the developed constitutive equations. Based on the developed constitutive equations, 3-D finite element analysis program is developed, and verified using experimental results.