• Title/Summary/Keyword: Plastic Stress Distribution Method

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Application of Slip-line Method to the Evaluation of Plastic Zone around a Circular Tunnel (원형터널 주변의 소성영역 평가를 위한 slip-line 해석법 활용)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.32 no.5
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    • pp.312-326
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    • 2022
  • The generalized Hoek-Brown (GHB) criterion, which is recognized as one of the standard failure conditions for rock mass, is specialized for rock engineering applications and covers a wide range of rock mass conditions. Accordingly, many research efforts have been devoted to the incorporation of this criterion into the stability analysis of rock structures. In this study, the slip-line analysis method, which is a kind of elastoplastic analysis method, is combined with the GHB failure criterion to derive analytical equations that can easily calculate the plastic radius and stress distribution in the vicinity of the circular tunnel. In the process of derivation of related formulas, it is assumed that the behavior of rock mass after failure is perfectly plastic and the in-situ stress condition is hydrostatic. In the formulation, it is revealed that the plastic radius can be calculated analytically using the two respective tangential friction angles corresponding to the stress conditions at tunnel wall and elastic-plastic boundary. It is also shown that the plastic radius and stress distribution calculated using the derived analytical equations coincide with the results of Lee & Pietruszczak's numerical method published in 2008. In the latter part of this paper, the influence of the quality of the rock mass on the size of the plastic zone, the stress distribution, and the change of the tangential friction angle was investigated using the derived analytical equations.

An Evaluation of Residual Stress Redistribution in the Welding Residual Stress Field Caused by Fatigue Crack Propagation by Finite Element Method (용접잔류응력장에서 피로균열의 전파에 따른 잔류응력 재분포에 대한 해석적 평가)

  • Park, Eung-Joon;Kim, Eung-Joon
    • Journal of Welding and Joining
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    • v.26 no.6
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    • pp.92-96
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    • 2008
  • An investigation was performed to predict residual stress redistribution for the crack propagation initially through tensile residual stress field. The analytical method, which is based on Dugdale model by finite element analysis using elastic analysis method considering the superposition principle, was proposed to estimate the redistribution of residual stress caused by crack propagation. The various aspect of distribution of residual stress caused by crack propagation was examined based on the configuration change of specimen. The analysis results show that the aspect of redistribution of residual stress caused by crack propagation depends on the width of the specimen provided that the initial distribution of residual stress is identical.

The Plane-Deformation Thermal Elasto-Plastic Analysis During Welding of Plate (평판용접에 관한 평면변형 열탄소성 해석)

  • 방한서;한길영
    • Journal of Ocean Engineering and Technology
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    • v.8 no.1
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    • pp.33-40
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    • 1994
  • Welding of structure produces welding residual stresses which influence buckling strength, brittle fracture strength and cold crack on the weld parts. Therefore, it is very important to accurately analyze the residual stress before welding in order to guarantee the safety of weldment. If the weld length is long enough compared to the thickness and the breadth of plate, thermal and mechanical behaviors in the middle portion of the plate are assumed to be uniform along the thickness direction(z-axis). Thus, the following conditions(so-called plane deformation) can be assumed for the plate except near its end;1) distributions of stress and strain are independent on the z-axis;2) plane normal to z-axis before deformation remains plane during and after deformation. In this paper, plane-deformation thermal elasto-plastic problem is formulated by being based on the finite element method. Moreover special regards and paid to the fact that material properties in elastic and plastic region are temperature-dependence. And the method to solve the plane-deformation thermal elasto-plastic problem is shown by using the incremental technique. From the results of analysis, the characterisics of distribution of welding residual stress and plastic strain with the production mechanism are clarified.

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Elastic-plastic formulation for concrete encased sections interaction diagram tracing

  • Fenollosa, Ernesto;Gil, Enrique;Cabrera, Ivan;Vercher, Jose
    • Steel and Composite Structures
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    • v.19 no.4
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    • pp.861-876
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    • 2015
  • Composite sections design consists on checking that the point defined by axial load and bending moment keeps included within the surface enclosed by the section interaction curve. Eurocode 4 suggests a method for tracing this diagram based on the plastic stress distribution method. However curves obtained according to this criterion overvalue concrete encased sections bearing capacity, especially when axial force comes with high bending moment values, so a correction factor is required. This article proposes a method for tracing this diagram based on the strain compatibility method. When stresses on the section are integrated by considering the Navier hypothesis, the use of the materials nonlinear constitutive equations provides curves much more adjusted to reality. This process requires the use of rather complex software which might reveal as too complex for practitioners. Preserving the same criteria of an elastic-plastic stress distribution, this article presents alternative expressions to obtain the failure internal forces in five significant points of the interaction diagram having considered five different positions of the neutral axis. These expressions are simply enough for their practical application. Concordance of curves traced strictly relying on these five points with those obtained by computer assisted stress integration considering the strain compatibility method and even with Eurocode 4 weighted curves will be presented for three different cross-sections and two different concrete strengths, revealing very good results.

Friction Stir Welding Analysis Based on Equivalent Strain Method using Neural Networks

  • Kang, Sung-Wook;Jang, Beom-Seon
    • Journal of Ocean Engineering and Technology
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    • v.28 no.5
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    • pp.452-465
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    • 2014
  • The application of friction stir welding (FSW) technology has been extended to all industries, including shipbuilding. A heat transfer analysis evaluates the weldability of a welded work piece, and elasto-plastic analysis predicts the residual stress and deformation after welding. A thermal elasto-plastic analysis based on the heat transfer analysis results is most frequently used today. However, its application to large objects such as offshore structures and hulls is impractical owing to its long computational time. This paper proposes a new method, namely an equivalent strain method using the inherent strain, to overcome the disadvantages of the extended analysis time. In the present study, a residual stress analysis of FSW was performed using this equivalent strain method. Additionally, in order to reflect the external constraints in FSW, the reaction force was predicted using a neural network, Finally, the approach was verified by comparing the experimental results and thermal elasto-plastic analysis results for the calculated residual stress distribution.

The Simulation of Notch Length on the Stress Distribution in Lap Zone of Single Lap Joint with a Centered Notch

  • Yan, Zhanmou;You, Min;Yi, Xiaosu;Zheng, Xiaoling
    • Journal of Adhesion and Interface
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    • v.7 no.4
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    • pp.18-23
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    • 2006
  • The influence of the notch length on the stress distribution of mid-bondline and adherend was investigated using elasto-plastic finite element method. The results from the simulation showed that peak stress of mid-bondline decreased markedly as adherend with notch in the middle of lap zone, and the stress in the middle of joint with low stress originally increased evidently. All the peak stresses decreased firstly and increased again as the length of notch increased. The relative higher peak stress appeared at the point near the notch of adherend where might be failed previously during the loading procedure.

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An Analytical Study to evaluate Existing Stress of Steel Structural Member (철골구조물의 존재응력 추정에 관한 해석적 연구)

  • Kim, Kap Sun;Shin, Eui Gyun;Kim, Woo Bum;Chung, Soo Yong
    • Journal of Korean Society of Steel Construction
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    • v.11 no.3 s.40
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    • pp.301-309
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    • 1999
  • The purpose of this study is to develop a method to deduce existing stress of steel member in inelastic range. Based on the previous experimental study, modified factor method considering the local plastification due to stress concentration was proposed. Finite element analysis was performed to investigate the stress distribution around hole and the results of the finite element analysis were compared with those from the Hole Drilling Method in elastic-plastic range. As a result of applying a modified factor method, proposed method shows very good approximation of 2% error for exact value of stress in the plastic range.

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Analysis of Welding Residual Stress Redistributions on Notched Multi-pass FCA Butt Weldment (노치가공에 의한 다층 FCA 용접부의 잔류응력 재분포 특성)

  • Bang, Hee-Seon;Bang, Han-Sur;Oh, Ik-Hyun;Kim, Jun-Hyung
    • Journal of Welding and Joining
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    • v.28 no.1
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    • pp.86-91
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    • 2010
  • In the present study, two-dimensional plane deformation thermo elasto-plastic analysis has been carried out, in order to investigate the thermal and mechanical behaviour (residual stress, plastic strain, magnitude of stress and their distribution and production mechanism) on multi-pass FCA butt weldment of high strength EH36-TMCP ultra thick plate. Moreover, this study can be considered as a basis for analysing the fracture toughness, KIC, and its effect on welding residual stress redistribution with notch on multi-pass FCA butt weldment, in future. The results of welding residual stress obtained from thermo elasto-plastic analysis has been compared and verified with the results measured by XRD.

Analysis of Forging Plastic Stress by X.R.D and F.E.M (단조공정별 소성응력분포의 X.R.D 분석에 관한 연구)

  • Jeon, S.K.;Kim, S.Y.;Kim, J.H.;Lee, S.G.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.395-398
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    • 2006
  • Forging is applied for many industrial fields. Also, it is applied to hose nipple. Stress and metal analysis is finding method of forging possibility and we predict this possibility by finite element forging analysis. But there are also many manufacturing procedure after forging, and metal texture is varied by additional heat treatment or coating. So this research is focused on the measuring and analysis of plastic residual stress distribution at overall manufacturing procedure. From raw material to final product we measured real residual stress at each manufacturing procedure by X ray diffract meter, and simulated another procedure except forging by nonlinear finite element analysis. Also we showed how Zn-Ni coating is more contributable to metal strength than Zn coating. By this research we make final conclusion that process analysis must be observed from raw material to final manufacturing state for robust design.

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Numerical investigations on breakage behaviour of granular materials under triaxial stresses

  • Zhou, Lunlun;Chu, Xihua;Zhang, Xue;Xu, Yuanjie
    • Geomechanics and Engineering
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    • v.11 no.5
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    • pp.639-655
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    • 2016
  • The effect of particle breakage and intermediate principal stress ratio on the behaviour of crushable granular assemblies under true triaxial stress conditions is studied using the discrete element method. Numerical results show that the increase of intermediate principal stress ratio $b(b=({\sigma}_2-{\sigma}_3)/({\sigma}_1-{\sigma}_3))$ results in the increase of dilatancy at low confining pressures but the decrease of dilatancy at high confining pressures, which stems from the distinct increasing compaction caused by breakage with b. The influence of b on the evolution of the peak apparent friction angle is also weakened by particle breakage. For low relative breakage, the relationship between the peak apparent friction angle and b is close to the Lade-Duncan failure model, whereas it conforms to the Matsuoka-Nakai failure model for high relative breakage. In addition, the increasing tendency of relative breakage, calculated based on a fractal particle size distribution with the fractal dimension being 2.5, declines with the increasing confining pressure and axial strain, which implies the existence of an ultimate graduation. Finally, the relationship between particle breakage and plastic work is found to conform to a unique hyperbolic correlation regardless of the test conditions.