• Title/Summary/Keyword: spread plasticity

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A New Model for Predicting Width Spread in a Roughing Mill - Part I: Application to Dog-bone Shaped Inlet Cross (조압연 공정의 판 폭 퍼짐 예측 모델 - Part I : 도그 본 형상에 적용)

  • Lee, D.H.;Lee, K.B.;Hwang, S.M.
    • Transactions of Materials Processing
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    • v.23 no.3
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    • pp.139-144
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    • 2014
  • In the current study, we present a new model for predicting width spread of a slab with a dog-bone shaped cross section during rolling in the roughing train of a hot strip mill. The approach is based on the extremum principle for a rigid plastic material and a three dimensional admissible velocity field. The upper bound theorem is used for calculating the width spread of the slab. The prediction accuracy of the proposed model is examined through comparison with the predictions from 3-D finite element (FE) process simulations.

A Study on the Width Spread in Flat Rolling of Spring Steel (스프링강의 판압연시 폭확대에 관한 연구)

  • Park, Jae-Suk;Choi, Woon;Nam, Seung-Eui
    • Transactions of Materials Processing
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    • v.4 no.2
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    • pp.151-158
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    • 1995
  • In this study, the width spreads of spring steel including Mn-Cr steel(SUP 9A), Mn-Cr-V steel(SUP 11A), and Si-Cr steel(SAE 9254) and were investigated under different reduction ratios and thickness-width ratios friction coefficients. The experimental results were compared with the theoretical prediction by the Ekelund equation, Geuze equations, etc. The width spreads of the three spring steels were found to be 10-15% larger than mild steel, and the optimal reduction ratio for the spring steel was found in a range from 20 to30%. Among the spring steels, the width spread of Mn-Cr-V steel was measured to be the largest followed by those of Si-Cr steel and Mn-Cr steel. It was found that the width spread increased with friction coefficient, width-thickness ratio and reduction ratio as predicted. However, the theoretical predictions revealed smaller width spread than the experimental results. This finding indicates that the coefficients of the width spread of the theoretical models need to be modified in order to predict the actual behavior of the width spreading of the spring steels. In this study, the coefficients of width spread of the Geuze equation were determined from the experimental results.

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A Model for Slab Width Spread during Hot Rough Rolling Using a Profiled Edger Roll (형상 엣저 롤을 이용한 열간 조압연 공정의 슬래브 폭 퍼짐 예측 모델)

  • Lee, K.H.;Han, J.G.;Yoo, K.H.;Kim, H.J.;Kim, B.M.
    • Transactions of Materials Processing
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    • v.25 no.2
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    • pp.102-108
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    • 2016
  • The aim of the current study was to develop an advanced prediction model for the slab width spread during hot rough rolling. Rough rolling consists of both vertical rolling using a set of profiled edger rolls and horizontal rolling using a set of plain work rolls. FE-simulations were performed to investigate the influences of process variables such as initial slab width, initial thickness, sizing draft, edger roll draft and work roll draft on the final slab width variation. From a statistical analysis of the simulation results, an advanced model, which can predict the slab width spread during the edger rolling and horizontal rolling, was developed. The experimental hot rolling trials showed that the newly developed model provided fairly accurate predictions on the slab width spread during hot rough rolling process using a profiled edger rolls.

Finite Element Analysis of Externally Round Grooved Profile Ring Rolling Process (외부에 둥근 홈이 있는 형상환상압연공정의 유한요소해석)

  • 김광희;김병탁;석한길
    • Transactions of Materials Processing
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    • v.12 no.7
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    • pp.631-639
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    • 2003
  • Ring rolling process is simulated by using the general-purpose commercial finite element analysis software, MSC.Superform. Because the deforming region is restricted to the vicinity of the roll gap, only a ring segment spanning the roll gap is analyzed in order to save computation time and cost. First, a plain ring rolling of rectangular cross-section is simulated. Comparisons between computation and experiment show good agreement in the cross-sectional configuration of the deformed ring. Then, a profile ring with an external round groove is analyzed. The rolls with and without groove have been analyzed to compare the amount of side spread. It is found that the grooves in the rolls are effective in reducing the amount of side spread.

A New Model for Predicting Width Spread in a Roughing Mill - Part II: Application to Flat Rolling (조압연 공정의 판 폭 퍼짐 예측 모델 - Part II : 평판에의 적용)

  • Lee, D.H.;Lee, K.B.;Hwang, S.M.
    • Transactions of Materials Processing
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    • v.23 no.3
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    • pp.145-150
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    • 2014
  • Precision control of the slab is crucial for product quality and production economy in hot strip mills. The current study presents a new model for predicting width spread of a slab with a rectangular cross section during roughing. The model is developed on the basis of the extremum principle for a rigid plastic material and a three dimensional admissible velocity field. This model incorporates the effect of process variables such as the shape factor and the ratio of width to thickness. We compare the results of this model to 3-D finite element (FE) process simulations and also to results from a previous study.

Inelastic large deflection analysis of space steel frames consisting of I-shaped cross section

  • ElSabbagh, Ashraf;Hanefa, Ahmed;Zubydan, Ahmed;ElGhandour, Mohamed;Sharaf, Tarek
    • Steel and Composite Structures
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    • v.41 no.6
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    • pp.887-898
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    • 2021
  • This paper presents a simplified model to capture the nonlinear behavior of steel frames depending on the spread of plasticity method. New interaction formulae were derived to evaluate the plastic strength for I-shaped steel sections under uniaxial bending moment and axial compression load. Also, new empirical formulae were derived to evaluate the tangent stiffness modulus of steel I-shaped cross-sections considering the effect of the residual stresses suggested by the specifications in European Convention for Construction Steelworks (ECCS). The secant stiffness which depends on the tangent modulus is used to evaluate the internal forces. Based on stiffness matrix method, a finite element analysis program was developed for the nonlinear analysis of space steel frames using the derived formulae. Comparison between the proposed model results with those given by the fiber model shows very good agreement. Numerical examples were introduced to verify, check the accuracy, and evaluate the efficiency of the proposed model. The analysis results show that the new proposed model is accurate and able to minimize the solution time.

Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads

  • Abderezak, Rabahi;Daouadji, Tahar Hassaine;Rabia, Benferhat;Belkacem, Adim
    • Earthquakes and Structures
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    • v.15 no.2
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    • pp.113-122
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    • 2018
  • This study presents a new beam-column model comprising material nonlinearity and joint flexibility to predict the nonlinear response of reinforced concrete structures. The nonlinear behavior of connections has an outstanding role on the nonlinear response of reinforced concrete structures. In presented research, the joint flexibility is considered applying a rotational spring at each end of the member. To derive the moment-rotation behavior of beam-column connections, the relative rotations produced by the relative slip of flexural reinforcement in the joint and the flexural cracking of the beam end are taken into consideration. Furthermore, the considered spread plasticity model, unlike the previous models that have been developed based on the linear moment distribution subjected to lateral loads includes both lateral and gravity load effects, simultaneously. To confirm the accuracy of the proposed methodology, a simply-supported test beam and three reinforced concrete frames are considered. Pushover and nonlinear dynamic analysis of three numerical examples are performed. In these examples the nonlinear behavior of connections and the material nonlinearity using the proposed methodology and also linear flexibility model with different number of elements for each member and fiber based distributed plasticity model with different number of integration points are simulated. Comparing the results of the proposed methodology with those of the aforementioned models describes that suggested model that only uses one element for each member can appropriately estimate the nonlinear behavior of reinforced concrete structures.

Unsuspected Plasticity of Single Neurons after Connection of the Corticospinal Tract with Peripheral Nerves in Spinal Cord Lesions

  • Brunelli, Giorgio;Wild, Klaus von
    • Journal of Korean Neurosurgical Society
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    • v.46 no.1
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    • pp.1-4
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    • 2009
  • Objective: To report an unsuspected adaptive plasticity of single upper motor neurons and of primary motor cortex found after microsurgical connection of the spinal cord with peripheral nerve via grafts in paraplegics and focussed discussion of the reviewed literature. Methods: The research aimed at making paraplegics walk again, after 20 years of experimental surgery in animals. Amongst other things, animal experiments demonstrated the alteration of the motor endplates receptors from cholinergic to glutamatergic induced by connection with upper motor neurons. The same paradigm was successfully performed in paraplegic humans. The nerve grafts were put into the ventral-lateral spinal tract randomly, with out possibility of choosing the axons coming from different areas of the motor cortex. Results: The patient became able to selectively activate the re-innervated muscles she wanted without concurrent activities of other muscles connected with the same cortical areas. Conclusion: Authors believe that unlike in nerve or tendon transfers, where the whole cortical area corresponding to the transfer changes its function a phenomenon that we call "brain plasticity by areas". in our paradigm due to the direct connection of upper motor neurons with different peripheral nerves and muscles via nerve grafts motor learning occurs based on adaptive neuronal plasticity so that simultaneous contractions of other muscles are prevented. We propose to call it adaptive functional "plasticity by single neurons". We speculate that this phenomenon is due to the simultaneous activation of neurons spread in different cortical areas for a given specific movement, whilst the other neurons of the same areas connected with peripheral nerves of different muscles are not activated at the same time. Why different neurons of the same area fire at different times according to different voluntary demands remains to be discovered. We are committed to solve this enigma hereafter.

The optimization of front bumper beam using Hot stamping Technology (핫스템핑 공법을 이용한 Front Bumper Beam 최적화)

  • Kim, D.H.;Kim, K.S.;Na, S.J.;Um, I.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.10a
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    • pp.241-244
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    • 2008
  • Automotive companies have conducted a study for light weigh body and crash safety. But It is difficult to adapt a mass production because of formability with high strength steel in the conventional stamping process. Recently, Automotive maker in the Europe, USA, Japan has applied a hot stamping with boron steel in the body structure. Hot stamping technology spread fast in various body parts of automobile. Bumper beam has been applied in the foreign automotive company so much nowadays. In this study, We will optimize crash performance of bumper beam using hot stamping through comparison with conventional bumper beam.

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Calcuation of Stress Free Surface Profile of Stock in Red Rolling(I) (선재 압연의 소재 자유표면 형상 계산(I))

  • 이영석;최상우;유선준;주웅용
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.08a
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    • pp.78-87
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    • 1999
  • A mathematical model for the stress free surface profile in Over-Round and Round-Oval grove rolling, which can be used effectively in the calculation of pass area, is presented. The new model has generality, simplicity and accuracy for practical usage. The stress free surface profile of an outgoing stock can be modeled when the maximum spread of it known a priori. The equation for the stress free surface profile is formulated from the linear interpolation of the radius of curvature of an incoming stock and that of roll groove to the axis direction. In developing the analytical model, the effect of rolling temperature and friction between roll and work piece(stock) were not considered since the geometry of roll groove and the incoming work piece were assumed a dominant factor which decides the stress free surface profile of the outgoing stock. A simulation with the analytical model developed also has been carried out to demonstrate the stress free surface profile of the outgoing stock.

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