• Title/Summary/Keyword: von Mises yield criterion

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Comparative Study on Material Constitutive Models of Ice (얼음의 재료 모델 적용 타당성 연구)

  • Choung, Joon-Mo;Nam, Ji-Myung;Kim, Kyung-Su
    • Journal of the Society of Naval Architects of Korea
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    • v.48 no.1
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    • pp.42-48
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    • 2011
  • To define ice as a solid material, mathematical and physical characteristics and their application examples are investigated for several materials' yield functions which include isotropic elastic, isotropic elastic-plastic, classical Drucker-Prager, Drucker-Prager Cap, Heinonen's elliptic, Derradji-Aouat's elliptic, and crushable foam models. Taking into account brittle failure mode of ice subject to high loading rate or extremely low temperature, isotropic elastic model can be better practicable than isotropic elastic-plastic model. If a failure criterion can be properly determined, the elastic model will provide relatively practicable impact force history from ice-hull interactions. On the other hand, it is thought that the soil models can better predict the ice spalling mechanism, since they contain both terms of shear stress-induced and hydrostatic stress-induced failures in the yield function.

A constitutive model for fiber-reinforced extrudable fresh cementitious paste

  • Zhou, Xiangming;Li, Zongjin
    • Computers and Concrete
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    • v.8 no.4
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    • pp.371-388
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    • 2011
  • In this paper, time-continuous constitutive equations for strain rate-dependent materials are presented first, among which those for the overstress and the consistency viscoplastic models are considered. By allowing the stress states to be outside the yield surface, the overstress viscoplastic model directly defines the flow rule for viscoplastic strain rate. In comparison, a rate-dependent yield surface is defined in the consistency viscoplastic model, so that the standard Kuhn-Tucker loading/unloading condition still remains true for rate-dependent plasticity. Based on the formulation of the consistency viscoplasticity, a computational elasto-viscoplastic constitutive model is proposed for the short fiber-reinforced fresh cementitious paste for extrusion purpose. The proposed constitutive model adopts the von-Mises yield criterion, the associated flow rule and nonlinear strain rate-hardening law. It is found that the predicted flow stresses of the extrudable fresh cementitious paste agree well with experimental results. The rate-form constitutive equations are then integrated into an incremental formulation, which is implemented into a numerical framework based on ANSYS/LS-DYNA finite element code. Then, a series of upsetting and ram extrusion processes are simulated. It is found that the predicted forming load-time data are in good agreement with experimental results, suggesting that the proposed constitutive model could describe the elasto-viscoplastic behavior of the short fiber-reinforced extrudable fresh cementitious paste.

Nonlinear Analysis of Improved Degenerated Shell Finite Element (개선된 Degenerated 쉘 유한요소의 비선형 해석)

  • 최창근;유승운
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.113-123
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    • 1990
  • The paper is concerned with the elasto-plastic and geometrically nonlinear analysis of shell structures using an improved degenerated shell element. In the formulation of the element stiffness, the combined use of three different techniques was made. They are; 1) an enhanced interpolation of transverse shear strains in the natural coordinate system to overcome the shear locking problem ; 2) the reduced integration technique in in-plane strains to avoid the membrane locking behavior ; and 3) selective addition of the nonconforming displacement modes to improve the element performances. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. In the formulation for plastic deformation, the concept of a layered element model is used and the material is assumed von Mises yield criterion. An incremental total Lagrangian formulation is presented which allows the calculation of arbitrarily large displacements and rotations. The resulting non-linear equilibrium equations are solved by the Netwon-Raphson method combined with load or displacement increment. The versatility and accuracy of this improved degenerated shell element are demonstrated by solving several numerical examples.

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The Shear Capacity of CFT Column to H-Beam End plate Connections with Penetrated High-Strength Bolts (관통형 고력볼트를 사용한 엔드플레이트형식 CFT 기둥-H형강 보 접합부의 전단성능)

  • Kim, Young Ju;Kim, Jae Keon;Oh, Young Suk;Moon, Tae Sup
    • Journal of Korean Society of Steel Construction
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    • v.12 no.4 s.47
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    • pp.351-362
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    • 2000
  • This paper is to study on the behavior of CFT column to H-beam end plate connections with penetrated high-strength bolts under cyclic load. The main parameters are as follows: 1) the thickness of end plate: 16mm, 22mm and 25mm, 2) the thickness of column : 9mm and 12mm. Comparison and analysis on the test results are performed in accordance with parameters. This study investigates energy absorption capacity of beam-column connections and analyzes the shear strength of joint panel. The shear strength of joint panel is estimated by superimposing the strength of the steel which is based on the von Mises yield criterion and that of the concrete which is used the Strut model to consider the effect of filled concrete.

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Reliability-Based Assessment of Safety and Load Carrying Capacity of Steel-Box Pedestrian Bridges (신뢰성에 기초한 강상형 보도육교의 안전도 및 내하력 평가)

  • 조효남;최영민;이은철
    • Computational Structural Engineering
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    • v.10 no.2
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    • pp.189-201
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    • 1997
  • A number of standard type of steel-box pedestrian bridges are constructed in th metropolitan high way or heavy traffic urban area. Although it has the advantage of speedy construction because of its simple structural form and prefabricated erection method, it has been reported that many of these bridges are deteriorated or damaged and thus are in the state such that it would give unsafe and uncomfortable feeling to pedestrians. In the paper, for the realistic assessment of safety and load carrying capacity of deteriorated and/or damaged steel box pedestrian bridges, an interactive non-linear limit state model is formulated based on the von Mises' combined stress yield criterion. It has been demonstrated that the proposed model is effective for the reliability-based safety assessment and load carrying capacity evaluation of steel-box pedestrian bridges. In addition, this study suggests an effective and practical field load test method for pedestrian bridges.

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p-Version Finite Element Analysis of Anisotropic Laminated Plates considering Material-Geometric Nonlinearities (재료-기하비선형을 고려한 이방성 적층평판의 p-Version 유한요소해석)

  • 홍종현;박진환;우광성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.319-326
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    • 2002
  • A p-version finite element model based on degenerate shell element is proposed for the analysis of orthotropic laminated plates. In the nonlinear formulation of the model, the total Lagrangian formulation is adopted with large deflection and moderate rotation being accounted for in the sense of von Karman hypothesis. The material model Is based on the Huber-Mises yield criterion and Prandtl-Reuss flow rule in accordance with the theory of strain hardening yield function, which is generalized for anisotropic materials by introducing the parameters of anisotropy. The model is also based on extension of equivalent-single layer laminate theory(ESL theory) with shear deformation, leading to continuous shear strain at the interface of two layers. The Integrals of Legendre Polynomials we used for shape functions with p-level varying from 1 to 10. Gauss-Lobatto numerical quadrature is used to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed p-version finite element model is demonstrated through several comparative points of view in terms of ultimate load, convergence characteristics, nonlinear effect, and shape of plastic zone

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Residual stress in an elastoplastic annular disc interacting with an elastic inclusion

  • Zarandi, Somayeh Bagherinejad;Lai, Hsiang-Wei;Wang, Yun-Che;Aizikovich, Sergey M.
    • Coupled systems mechanics
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    • v.8 no.3
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    • pp.273-287
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    • 2019
  • Elastoplastic analysis of an annular disc, being fully constrained on its outer rim and interacting with a purely elastic inclusion perfectly bonded with its inner rim, is conducted to study its plastic deformation and residual stress under thermal cycles. The system is termed the composite disc. Quasi-static plane-strain deformation is assumed, and the von Mises yield criterion with or without the Ludwik hardening rule is adopted in our finite element calculations. Effects of multiple material properties simultaneously being temperature dependent on the plastic behavior of the composite disc are considered. Residual stress is analyzed from a complete loading and unloading cycle. Results are discussed for various inclusion radii. It is found that when temperature dependent material properties are considered, the maximum residual stress may be greater than the maximum stress inside the disc at the temperature-loaded state due to lower temperature having larger yield stress. Temperature independent material properties overestimate stresses inside materials, as well as the elastic irreversible temperature and plastic collapse temperature.

Ultimate compressive strength predictions of CFT considering the nonlinear Poisson effect

  • Yu-A Kim;Ju-young Hwang;Jin-Kook Kim
    • Steel and Composite Structures
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    • v.48 no.4
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    • pp.461-474
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    • 2023
  • Concrete-filled steel tubes are among the most efficient compressive structural members because the strength of the concrete is enhanced given that the surrounding steel tube confines the concrete laterally and the steel tube is restrained with regard to inward deformation due to the concrete existing inside. Accurate estimations of the ultimate compressive strength of CFT are important for efficient designs of CFT members. In this study, an analytical procedure that directly formulates the interaction between the concrete and steel tube by considering the nonlinear Poisson effect and stress-strain curve of the concrete including the confinement effect is proposed. The failure stress of concrete and von-Mises failure yield criterion of steel were used to consider multi-dimensional stresses. To verify the prediction capabilities of the proposed analytical procedure, 99 circular CFT experimental data instances from other studies were used for a comparison with AISC, Eurocode 4, and other researchers' predictions. From the comparison, it was revealed that the proposed procedure more accurately predicted the ultimate compressive strength of a circular CFT regardless of the range of the design variables, in this case the concrete compressive strength, yield strength of the steel tube and diameter relative to the thickness ratio of the tube.

Reliability-Based Assessment of Safety and Residual Load Carrying-Capacity of Curved Steel-Box Ramp Bridges (신뢰성에 기초한 강상형 곡선램프교의 안전도 및 잔존내하력 평가)

  • Cho, Hyo-Nam;Choi, Young-Min;Min, Dae-Hong
    • Journal of Korean Society of Steel Construction
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    • v.9 no.1 s.30
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    • pp.51-63
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    • 1997
  • Highly curved steel-box bridges are usually constructed as ramp structures for the highway interchange and metropolitan elevated highway junction, but a number of these bridges are deteriorated and damaged to a significant degree due to heavy traffic. The main objective of the study is to develop a practical reliability-based assessment of safety and residual load carrying-capacity of existing curved steel-box ramp bridges. In the paper, for the realistic assessment of safety and residual load carrying-capacity of deteriorated and/or damaged curved steel-box bridges, an interactive non-linear limit state model is formulated based on the von Mises's combined stress yield criterion. It is demonstrated that the proposed model is effective for the assessment of reliability-based safety and the evaluation of residual load carrying-capacity of curved steel-box bridges. In addition, this study comparatively shows the applicability of various reliability analysis methods, and suggests a practical and effective one to be used in practice.

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Prediction of the Plastic Strain Ratio Evolution of a Dual-phase Steel (3차원 미세조직에 기반한 잔류응력 하의 이상 조직강의 소성변형률비 예측)

  • Ha, J.;Lee, J.W.;Lee, M. G.;Barlat, F.;Kim, J. H.
    • Transactions of Materials Processing
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    • v.24 no.6
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    • pp.395-399
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    • 2015
  • A microstructure-based finite element simulation was conducted to predict the plastic strain ratio (R-value) of a dual-phase (DP) steel. The representative volume elements (RVEs) concept was adopted for the image-based FE modeling and a 3D model was constructed using sequential 2D images. Each phase was considered with the von-Mises yield criterion and the Swift model. The Swift parameters were defined by the empirical equations based on the chemical composition. The developed model was applied to analyze the effect of residual stress on the R-value and stress distribution. In order to consider the residual stress development after cold rolling, 10 % compression was applied in the thickness direction and unloaded before the tensile stress was applied in the rolling direction. The results showed a reasonable prediction for the R-value evolution: a sharp increase at small strains was well described and a transition followed in the downward direction. The R-value evolution was analyzed using the stress distribution change on the π-plane