• Title/Summary/Keyword: Constitutive relation

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Behavior of circular concrete-filled steel tubular columns under pure torsion

  • Ding, Fa-xing;Fu, Qiang;Wen, Bing;Zhou, Qi-shi;Liu, Xue-mei
    • Steel and Composite Structures
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    • v.26 no.4
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    • pp.501-511
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    • 2018
  • Concrete-filled steel tubular (CFT) columns are commonly used in engineering structures and always subjected to torsion in practice. This paper is thus devoted to investigate the mechanical behavior of circular CFT columns under pure torsion.3D finite element models based on reasonable material constitutive relation were established for analyzing the load-strain ($T-{\gamma}$) curves of circular CFT columns under pure torsion. The numerical simulation indicated that local bulking of the steel tube in CFT columns was prevented and the shear strength and ductility of the core concrete were significantly improved due to the confinement effect between the steel tube and the core concrete. Based on the results, formulas to predict the torsional ultimate bearing capacity of circular CFT columns were proposed with satisfactory correspondence with experimental results. Besides, formulas of composite shear stiffness and the overall process of the $T-{\gamma}$ relation of circular CFT columns under pure torsion were proposed.

Design Sensitivity Analysis for the Sheet Metal Forming Process with an Elasto-plastic Finite Element Analysis and a Direct Differentiation Approach (탄소성 유한요소법과 직접미분법물 이용한 박판성형공정에서의 설계민감도 해석)

  • Kim S. H.;Huh H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.10a
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    • pp.93-96
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    • 2001
  • Design sensitivity is calculated in the sheet metal forming process with an elasto-plastic finite element analysis and a direct differentiation method The sensitivity analysis is concerned with the time integration the constitutive relation considering planar anisotropy, shell elements and the contact scheme. The present result is compared with the result obtained with the finite difference approach in deep drawing processes. The obtained sensitivity information is applied to the simple optimization process for the sheet metal forming process.

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Optimum Design of the Process Parameter in Sheet Metal Forming with Design Sensitivity Analysis using the Direct Differentiation Approach (I) -Design Sensitivity Analysis- (직접미분 설계민감도 해석을 이용한 박판금속성형 공정변수 최적화 (I) -설계민감도 해석 -)

  • Kim, Se-Ho;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.11
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    • pp.2245-2252
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    • 2002
  • Design sensitivity analysis scheme is proposed in an elasto -plastic finite element method with explicit time integration using a direct differentiation method. The direct differentiation is concerned with large deformation, the elasto-plastic constitutive relation, shell elements with reduced integration and the contact scheme. The design sensitivities with respect to the process parameter are calculated with the direct analytical differentiation of the governing equation. The sensitivity results obtained from the present theory are compared with that obtained by the finite difference method in a class of sheet metal forming problems such as hemi-spherical stretching and cylindrical cup deep-drawing. The result shows good agreement with the finite difference method and demonstrates that the preposed sensitivity calculation scheme is a pplicable in the complicated sheet metal forming analysis and design.

Sensitivity Analysis of the Explicit Elasto-plastic Finite Element Method and Application to the Quasi-static Deformation (외연적 탄소성 유한요소해석에서의 민감도 해석과 준정적 변형에의 응용)

  • Kim, Se-Ho;Huh, Hoon
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.402-407
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    • 2001
  • Sensitivity analysis scheme is developed in the elasto-plastic finite element method with explicit time integration using direct differentiation method. The direct differentiation is concerned with the time integration, constitutive relation, shell element with reduced integration and the contact scheme. Sensitivity analysis results are mainly examined with the highly nonlinear and quasi-static problem with the complicated contact condition. The result shows stable sensitivity especially in the sheet metal forming analysis.

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Analysis for Fracture Characteristics of Porous Materials by using Cohesive Zone Models (응집영역모델을 이용한 다공질 재료의 파괴 거동 연구)

  • Choi, Seung-Hyun;Ha, Sang-Yul;Kim, Ki-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.6
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    • pp.552-559
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    • 2009
  • The effect of porosity on the crack propagation is studied by using the cohesive zone model. Standard mode I fracture test were done by using compact tension specimens with various porosities. Load-load line displacement curves and ${\delta}_5$-crack resistance curves for various porosities were obtained from experiments. The cohesive zone model proposed by Xu and Needleman was employed to describe the crack propagation in porous media, and the Gurson model is used for constitutive relation of porous materials. These models were implemented into user subroutines of a finite element program ABAQUS. The fracture mode changes from ductile fracture to brittle fracture as the porosity increases. Numerical calculations agree well with experimental results.

An Analysis Finite Element for Elasto-Plastic Stresses Considerating Phase Transformation at the Quenching Process(I) - From Austenite to Pearlite - (퀜칭과정에서 상변태를 고려한 탄소성 열응력의 유한요소해석(I) -오스테나이트에서 퍼얼라이트로의 변태-)

  • Kim, Ok-Sam;Koo, Bon-Kwon
    • Journal of the Korean Society for Heat Treatment
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    • v.7 no.4
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    • pp.233-243
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    • 1994
  • Constitutive relation of thermoelasto-plastic material undergoing phase transformation during quenching process were developed on the basic of continuum thermodynamics. The metallic structure, temperature and residual stresses distributions were numerically calculated by the finite element technique. The metallic structure were defined by transformation from austenite to pearlite and characterized as a fuction of thermal history and mixture rule of phase. On the distribution of thermal stress along the radial direction, axial and tangential stresses are compressive in the surface, and tential in the inner part. Radial stress is tensile in the whole body. The reversion of residual stress takes plase at 11.5~15.5mm from the center.

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Incremental Theory of Reinforcement Damage in Discontinuously-Reinforced Composite (분산형 복합재료의 강화재 손상 증분형 이론)

  • 김홍건
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2000.05a
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    • pp.122-126
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    • 2000
  • In particle or short-fiber reinforced composites cracking of the reinforcements is a significant damage mode because the broken reinformcements lose load carrying capacity . The average stress in the inhomogeneity represents its load carrying capacity and the difference between the average stresses of the intact and broken inhomogeneities indicates the loss of load carrying capacity due to cracking damage. The composite in damage process contains intact and broken reinforcements in a matrix, An incremental constitutive relation of particle or short-fiber reinforced composites including the progressive cracking damage of the reinforcements have been developed based on the Eshelby's equivalent inclusion method and Mori-Tanaka's mean field concept. influence of the cracking damage on the Eshelby's equivalent inclusion method and Mori-Tanaka's mean field concept. Influence of the cracking damage on the stress-strain response of the composites is demonstrated.

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Analysis of Damage Mechanism for Optimum Design in Discontinuously-Reinforced Composites (불균질입자강화 복합재료의 최적설계를 위한 손상메커니즘 해석)

  • 조영태;조의일
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.4
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    • pp.106-112
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    • 2004
  • In particle or short-fiber reinforced composites, cracking or debonding of the reinforcements cause a significant damage mode because the damaged reinforcements lose load carrying capacity. The average stress in the inhomogeneity represents its load carrying capacity, and the difference between the average stresses of the intact and broken inhomogeneities indicates the loss of load carrying capacity due to cracking damage. The composite in damage process contains intact and broken reinforcements in a matrix. An incremental constitutive relation of discontinuously-reinforced composites including the progressive cracking damage of the reinforcements have been developed based on the Eshelby's equivalent inclusion method and Mori-Tanaka's mean field concept. Influence of the cracking damage on the stress-strain response of the composites is demonstrated.

Static behavior of thermally loaded multilayered Magneto-Electro-Elastic beam

  • Vinyas, M.;Kattimani, S.C.
    • Structural Engineering and Mechanics
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    • v.63 no.4
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    • pp.481-495
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    • 2017
  • The present article examines the static response of multilayered magneto-electro-elastic (MEE) beam in thermal environment through finite element (FE) methods. On the basis of the minimum total potential energy principle and the coupled constitutive equations of MEE material, the FE equilibrium equations of cantilever MEE beam is derived. Maxwell's equations are considered to establish the relation between electric field and electric potential; magnetic field and magnetic potential. A simple condensation approach is employed to solve the global FE equilibrium equations. Further, numerical evaluations are made to examine the influence of different in-plane and through-thickness temperature distributions on the multiphysics response of MEE beam. A parametric study is performed to evaluate the effect of stacking sequence and different temperature profiles on the direct and derived quantities of MEE beam. It is believed that the results presented in this article serve as a benchmark for accurate design and analysis of the MEE smart structures in thermal applications.

Espression of Alkaline Phosphatase Gene from Kluyveromyces fragilis in E. coli and S. cerevisiae (Kluyveromyces fragilis의 Alkaline Phosphatase 유전자의 E. coli 및 S. cerevisiae 에서의 발현)

  • Park, Soo-Young;Hwang, Seon-Kap;Lee, Dong-Sun;Kim, Jong-Guk;Nam, Joo-Hyun;Hong, Soon-Duck
    • Microbiology and Biotechnology Letters
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    • v.23 no.2
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    • pp.131-137
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    • 1995
  • The alkaline phosphatase (K-ALPase) gene of Kluyveromyces fragilis has been cloned (1) and determined its base sequences (2) previously in our laboratory. When the K-ALPase gene was expressed in Escherichia coli and Saccharomyces cerevisiae, it showed a constitutive activity in E. coli, and a derepressed activity in S. cerevisiae in phosphate-limited medium. Northem hybridization experiment was performed to elucidate the transcription level of the K-ALPase gene. Northern experiment showed that transcription level of K-ALPase gene in S. cerevisiae was higher in phosphate depletion, but it was higher in high phosphate medium than in phosphate limited medium in K. fragilis. The transcription initiation site of the K-ALPase gene was determined by primer extension analysis. It matched nucleotide position - 169 in relation to the putative trnslational start site.

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