• Title/Summary/Keyword: complex analytical method

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A Semi-analytical Approach for Numerical Analysis of Residual Stress in Oxide Scale Grown on Hot-rolled Steels (열간압연강에서 형성된 산화물 스케일의 잔류 응력 수치 분석을 위한 준해석적 방법 개발)

  • Y.-J. Jun;J.-G. Yoon;J.-M. Lee;S.-H. Kim;Y.-C. Kim;S. Nam;W. Noh
    • Transactions of Materials Processing
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    • v.33 no.3
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    • pp.200-207
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    • 2024
  • In this study, we developed a semi-analytical approach for the numerical analysis of residual stress in oxide scales formed on hot-rolled steels. The oxide scale, formed during the hot rolling process, experiences complex interactions due to thermal and mechanical influences, significantly affecting the material's integrity and performance. Our research focuses on integrating various stress components such as thermal stress, growth stress, and creep behavior to predict the residual stress within the oxide layer. The semi-analytical method combines analytical expressions for each stress component with numerical integration to account for their cumulative effects. Validation through instrumented indentation tests confirms the reliability of our model, which considers thermal expansion coefficient (CTE) differences, scale growth, and creep-induced stress relaxation. Our findings indicate that thermal stress resulting from CTE differences significantly impacts the overall residual stress, with growth stress contributing a compressive component during cooling, and creep behavior playing a minor role in stress relaxation. This comprehensive approach enhances the accuracy of residual stress prediction, facilitating the optimization of material design and processing conditions for hot-rolled steel products.

Stress Distribution in the Vicinity of a Crack Tip in a Plate under Tensile Load Using Displacement Data of Finite Element Method (유한요소 변위값을 이용한 인장하중 판재 균열선단 주위의 응력분포 해석)

  • Baek, Tae-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.10
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    • pp.84-91
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    • 2008
  • Due to the complexity of the engineering problems, it is difficult to obtain directly the stress field around the crack tip by theoretical derivation. In the paper, the hybrid method is employed to calculate full-field stress around the crack tip in uni-axially leaded finite width tensile plate, using the displacement data of given points calculated by finite element method as input data. The method uses complex variable formulations involving conformal mappings and analytical continuity. In order to accurately compare calculated fringes with experimental ones, both actual and reconstructed photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Reconstructed fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within a few percent compared with ones obtained by empirical equation and finite element analysis.

Deformation and stress behavior analysis of high concrete dam under the effect of reservoir basin deformation

  • Zheng, Dongjian;Xu, Yanxin;Yang, Meng;Gu, Hao;Su, Huaizhi;Cui, Xinbo;Zhao, Erfeng
    • Computers and Concrete
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    • v.18 no.6
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    • pp.1153-1173
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    • 2016
  • According to deformation data measured in some high concrete dams, for dam body deformation, there is a complex relationship with dam height and water head for different projects, instead of a simple monotonic relationship consistently. Meanwhile, settlement data of some large reservoirs exhibit a significant deformation of reservoir basin. As water conservancy project with high concrete dam and large storage capacity increase rapidly these decades, reservoir basin deformation problem has gradually gained engineers' attentions. In this paper, based on conventional analytical method, an improved analytical method for high concrete dam is proposed including the effect of reservoir basin deformation. Though establishing FEM models of two different scales covering reservoir basin and near dam area respectively, influence of reservoir basin on dam body is simulated. Then, forward and inverse analyses of concrete dam are separately conducted with conventional and proposed analytical methods. And the influence of reservoir basin deformation on dam working behavior is evaluated. The results of two typical projects demonstrate that reservoir basin deformation will affect dam deformation and stress to a certain extent. And for project with large and centralized water capacity ahead of dam site, the effect is more significant than those with a slim-type reservoir. As a result, influence of reservoir basin should be taken into consideration with conducting analysis of high concrete dam with large storage capacity.

A Boundary Method for Shape Design Sensitivity Analysis for Shape Optimization Problems and its Application (경계법을 이용한 형상최적화 문제의 설계민감도 해석 및 응용)

  • 최주호;곽현구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.355-362
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    • 2004
  • An efficient boundary-based technique is developed for addressing shape design sensitivity analysis in various problems. An analytical sensitivity formula in the form of a boundary integral is derived based on the continuum formulation for a general functional defined in problems. The formula, which is expressed in terms of the boundary solutions and shape variation vectors, can be conveniently used for gradient computation in a variety of shape design problems. While the sensitivity can be calculated independent of the analysis means, such as the finite element method (FEM) or the boundary element method (BEM), the FEM is used for the analysis in this study because of its popularity and easy-to-use features. The advantage of using a boundary-based method is that the shape variation vectors are needed only on the boundary, not over the whole domain. The boundary shape variation vectors are conveniently computed by using finite perturbations of the shape geometry instead of complex analytical differentiation of the geometry functions. The supercavitating flow problem and fillet problem are chosen to illustrate the efficiency of the proposed methodology. Implementation issues for the sensitivity analysis and optimization procedure are also addressed in these problems.

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New Analytical Method for Separation and Identification of Heavy Metals (I) (중금속의 분리 및 검출을 위한 분석화학적 연구 (제 1 보). 새로운 분리방법의 개발)

  • Kim, Youn-Doo;Bae, Jun-Heon;Shin, Young-Kook
    • Journal of the Korean Chemical Society
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    • v.31 no.3
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    • pp.231-235
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    • 1987
  • In 10M chloride (4M HCl + 6M LiCl) solution, cobalt, but not nickel, formed complex anion (${CoCl_3}^-$), and this anion was extracted by a liquid anion exchanger with Amberlite LA-2. The ion exchange capacity was 2.175meq of cobalt complex per unit ml of Amberlite LA-2. Upon eluting the resin with 0.4M nitric acid, the cobalt complex was stripped and transfered into eluate quantitatively. By using this separation method in the chloride solution dissolved with 50mg of cobalt (II) and 500mg of nikel(II), recovery of cobalt were 99.6 percent.

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Hybrid Photoelastic Stress Analysis Around a Central Crack Tip in a Tensile Loaded Plate Using Isochromatic Data (등색프린지 데이터를 이용한 인장하중 판재 중앙 균열선단 주위의 하이브리드 광탄성 응력장 해석)

  • Baek, Tae-Hyun;Chen, Lei
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.12
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    • pp.1200-1207
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    • 2007
  • An experimental test is presented for photoelastic stress analysis around a crack tip in tensile loaded plate. The hybrid method coupling photoelastsic fringe inputs calculated by finite element method and complex variable formulations involving conformal mappings and analytical continuity is used to calculate full-field stress around the crack tip in uniaxially loaded, finite width tensile plate. In order to accurately compare calculated fringes with experimental ones, both actual and regenerated photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Regenerated fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within three percent compared with ones obtained by empirical equation and finite element analysis.

Microanalysis of Vecuronium Bromide in Biological Fluids by Spectrofluorimetry and HPLC-Fluorescence Detection (형광광도법 및 HPLC-형광검출법에 의한 생체시료 중의 Vecuronium bromide의 미량분석)

  • Ko, Yong-Seok;Han, Sang-Soo;Shin, Tae-Yong;An, Nyeon-Hyoung;Ock, Chi-Wan
    • Analytical Science and Technology
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    • v.7 no.3
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    • pp.413-419
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    • 1994
  • The determination of the neuromuscular blocking agents vecuronium bromide(VeBr) in biological fluids has been investigated. The method depends on the formation of insoluble red complex between vecuronium bromide and rose bengal in aqueous layer. The amount of vecuronium bromide was calculated from that of extracted rose bengal which was determined by spectrofluorimetry or HPLC/fluorescence detection method. It was possible to analyze VeBr in the range of $2{\sim}32{\mu}g/ml$(r=0.998 for water soln., 0.999 for urine, 0.996 for plasma). This method was applied to the analysis of VeBr in biological fluids, urine and plasma.

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Extraction-Spectrophotometric Determination of Mercury(II) using Nicotinaldehyde-4-phenyl-3-thiosemicarbazone (Nicotinaldehyde-4-phenyl-3-thiosemicarbazone을 이용한 Hg(II)의 추출 흡광광도 정량)

  • Lee, Jin-Sik;Uesugi, Katsuya;Choi, Won-Hyung;Kim, Jae-Soo;Kim, Do-Hoon
    • Analytical Science and Technology
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    • v.7 no.4
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    • pp.455-460
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    • 1994
  • A selective extraction-spectrophotometric method for the determination of mercury(II) with nocotinaldehyde-4-phenyl-3-thiosemicarbazone(NPS) was described. The method is based on the formation of an insoluble mercury-NPS complex, which is extratable into chloroform from an aqueous solution at pH 3.5 by shaking for 3 min. The absorbance is measured at 365nm and the molar absorptivity is $2.45{\times}10^4L\;mol^{-1}\;cm^{-1}$. The complex system conforms to Beer's law for up to $18{\mu}g\;mL^{-1}$ of mercury(II). The proposed method is simple and selective and has been satisfactorily applied to the determination of mercury in standard human hair sample.

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A Study on Calculating Inductance Characteristics of Switched Reluctance Motor (스위치드 리럭턴스 전동기의 인덕터스 산정에 관한 연구)

  • 최경호;김동희;노채균;김민희
    • The Transactions of the Korean Institute of Power Electronics
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    • v.6 no.4
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    • pp.333-340
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    • 2001
  • This paper presents a calculating method for inductance of the Switched Reluctance Motor(SRM) for torque characteristics and driving by analytical model. The torque generating characteristics of the SRM depend on the phase current and the inductance variation features, but Its nonlinear magnetic characteristics make it difficult to calculating inductance. Recently, The approaches for calculating inductance have taken vary from detailed finite element method(FEM) and Fitting method in magnetization curves using complex nonlinear magnetic circuit models. But those methods have not satisfactory approach for machine performance calculations, because of having a long time and remodeling for analyses, therefore thus an alternative approach is required. So it is suggested simply calculating method of the inductance based on designed data of machinery by analytical model in unaligned and aligned rotor. In order to prove the calculating, there are compare with analytical FEM. direct measurement, this method, and simulation. The compared result is shown to obtain good accuracy.

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Studies on the Freezing Time Prediction of Foodstuffs by Plank's Equation of Modification (Plank's Equation의 변형에 의한 식품의 동결시간 예측)

  • Cheong, Jin-Woo;Kong, Jai-Yul
    • Korean Journal of Food Science and Technology
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    • v.20 no.2
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    • pp.280-286
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    • 1988
  • Freezing is becoming incressingly important in the food industry as a means of food preservation since the turn of the century. For quality, processing and economic reasons, it is important to predict the freezing time for foods. A number of models have been proposed to predict freezing time. However, most analytical freezing time prediction techniques apply only to specific freezing conditions. Therefore, it is necessary to develop an improved analytical method for freezing time prediction under various conditions. The objectives of this study, by reviewing previous experimental data obtained by uncertain freezing condition and thermo-physical data, were to develop simple and accurate analytical method for prediction freezing time, and to obtain the freezing time of various foodstuffs by still air freezing and immersion freezing method. The result of this study showed that the proposed method offered better results than the other complex method compared.

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