• 제목/요약/키워드: Plastic Stress Distribution Method

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

  • 이연규
    • 터널과지하공간
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    • 제32권5호
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    • pp.312-326
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    • 2022
  • 암반의 표준 파괴기준식의 하나로 인정받고 있는 일반화된 Hoek-Brown (GHB) 식은 암반공학적 활용에 특화되어 있으며 넓은 범위의 암반조건을 고려할 수 있다. 이에 따라 암반 구조물의 안정성 해석과정에서 GHB 식을 적극적으로 활용하기 위한 많은 연구 노력이 진행 중이다. 이 연구에서는 탄소성 해석법의 일종인 slip-line 해석법을 GHB 파괴기준식과 결합하여 원형터널 주변의 소성반경과 응력분포를 간편하게 계산할 수 있는 해석적 수식들을 유도하였다. 관련 수식 유도과정에서는 파괴 후 거동으로 완전 소성 거동을 가정하였고, 초기지압은 정수압 상태로 가정하였다. 이 연구를 통하여 소성반경은 터널 벽면과 탄성-소성 경계면에 대응되는 두 접선 마찰각을 이용하여 해석적으로 계산할 수 있음을 밝혔다. 또한 유도한 해석 식들을 이용하여 계산한 소성반경과 응력분포는 2008년에 발표된 Lee & Pietruszczak의 수치해석적 방법의 결과와 일치함을 보였다. 이 논문의 후반부에서는 유도한 해석 식을 활용하여 암반의 양호도가 소성영역의 크기, 응력분포, 접선마찰각의 변화에 미치는 영향을 분석하였다.

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

  • 박응준;김응준
    • Journal of Welding and Joining
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    • 제26권6호
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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.

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

  • 방한서;한길영
    • 한국해양공학회지
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    • 제8권1호
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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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    • 제19권4호
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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
    • 한국해양공학회지
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    • 제28권5호
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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
    • 접착 및 계면
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    • 제7권4호
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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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철골구조물의 존재응력 추정에 관한 해석적 연구 (An Analytical Study to evaluate Existing Stress of Steel Structural Member)

  • 김갑순;신의균;김우범;정수영
    • 한국강구조학회 논문집
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    • 제11권3호통권40호
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    • pp.301-309
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    • 1999
  • 본 연구의 목적은 소성영역에서의 철골 부재내에 존재하는 존재응력을 추정하는 법을 개발하기 위함이다. 여기에선 선행 실험 연구를 근거로 하여 응력집중 현상에 기인한 국부 소성화를 고려하여 보정계수법이 제안되었다. 구멍주위의 응력 분포를 파악하기 위하여 유한요소 해석을 수행하였고, 그 결과를 탄 소성역에서의 구멍내기법에 의한 결과와 비교하였다. 보정계수법을 적용한 결과, 본 연구에서 제안된 방법은 실재 초기 존재응력값과 약 2% 정도의 오차를 가진 매우 좋은 결과치를 나타냈다.

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

  • 방희선;방한서;오익현;김준형
    • Journal of Welding and Joining
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    • 제28권1호
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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.

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

  • 전승경;김수연;김준형;이상걸
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2006년도 춘계학술대회 논문집
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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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    • 제11권5호
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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.