• Title/Summary/Keyword: strain boundary

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Probability Analysis of Plane Strain Element using Boundary Element Method (경계요소법을 이용한 평면변형율요소의 확률해석)

  • Jeon, Jeong-Bae;Yoon, Seong-Soo;Park, Jin-Seon;Lee, Hyeong-Ryeol
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.4
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    • pp.39-46
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    • 2012
  • The objectives of this study is intended to analyze stresses using the boundary element method and probability analysis for agricultural structure. Loads and material properties are an important factor when analyzing the structure. Until now, designing structure, loads and material properties are applied deterministic value. However, load and material properties involve uncertainties due to those change probabilistic and deterministic methods could not consider uncertainties. To solve these problems, the reliability analysis based on probability properties scheme was developed. Reliability analysis is easy to approach to analysis frame structure, however it has limitation when solving plane stress strain problems a kind of agricultural structures. The BEM (Boundary Element Method) is able to analysis plane strain problems by boundary conditions. Thus, this study applied boundary element method to analysis plane strain problem, load and material properties as a probabilistic value to calculate the analytical model using Monte Carlo simulations were developed.

High Temperature Creep Behavior in Al-Mg(Zn)-Fe Alloys

  • Bae, Chang-Hwan;Lee, Ju-Hee;Han, Chang-Suk
    • Korean Journal of Materials Research
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    • v.20 no.1
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    • pp.37-41
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    • 2010
  • Creep tests were conducted under a condition of constant stress on two aluminum-based alloys containing particles: Al-5% Mg-0.25% Fe and Al-5% Zn-0.22% Fe. The role of grain boundary sliding was examined in the plane of the surface using a square grid printed on the surface by carbon deposition and perpendicular to the surface using two-beam interferometry. Estimates of the contribution of grain boundary sliding to the total strain, $\varepsilon_{gbs}/\varepsilon_t$ reveal two trends; (i) the sliding contribution is consistently higher in the Al-Mg-Fe alloy, and (ii) the sliding contribution is essentially independent of strain in the Al-Mg-Fe alloy, but it shows a significant decrease with increasing strain in the Al-Zn-Fe alloy. Sliding is inhibited by the presence of particles and its contributions to the total strain are low. This inhibition is attributed to the interaction between the grain boundary dislocations responsible for sliding and particles in the boundaries.

The effect of finite strain on the nonlinear free vibration of a unidirectional composite Timoshenko beam using GDQM

  • Ghasemi, Ahmad Reza;Mohandes, Masood
    • Advances in aircraft and spacecraft science
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    • v.3 no.4
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    • pp.379-397
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    • 2016
  • In this manuscript, free vibrations of a unidirectional composite orthotropic Timoshenko beam based on finite strain have been studied. Using Green-Lagrange strain tensor and comprising all of the nonlinear terms of the tensor and also applying Hamilton's principle, equations of motion and boundary conditions of the beam are obtained. Using separation method in single-harmonic state, time and locative variables are separated from each other and finally, the equations of motion and boundary conditions are gained according to locative variable. To solve the equations, generalized differential quadrature method (GDQM) is applied and then, deflection and cross-section rotation of the beam in linear and nonlinear states are drawn and compared with each other. Also, frequencies of carbon/epoxy and glass/epoxy composite beams for different boundary conditions on the basis of the finite strain are calculated. The calculated frequencies of the nonlinear free vibration of the beam utilizing finite strain assumption for various geometries have been compared to von Karman one.

Strain Rate Dependence of Plastic Deformation Properties of Nanostructured Materials (나노구조재료의 소성변형 성질의 변형률속도 의존성)

  • Yoon Seung Chae;Kim Hyoung Seop
    • Transactions of Materials Processing
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    • v.14 no.1 s.73
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    • pp.65-70
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    • 2005
  • A phase mixture model was employed to simulate the deformation behaviour of metallic materials covering a wide grain size range from micrometer to nanometer scale. In this model a polycrystalline material is treated as a mixture of two phases: grain interior phase whose plastic deformation is governed by dislocation and diffusion mechanisms and grain boundary 'phase' whose plastic flow is controlled by a boundary diffusion mechanism. The main target of this study was the effect of grain size on stress and its strain rate sensitivity as well as on the strain hardening. Conventional Hall-Petch behaviour in coarse grained materials at high strain rates governed by the dislocation glide mechanism was shown to be replaced with inverse Hall-Petch behaviour in ultrafine grained materials at low strain rates, when both phases deform predominantly by diffusion controlled mechanisms. The model predictions are illustrated by examples from literature.

3-dimensional strain distribution in a local area of jointed boundary of composite materials (2相接合材의 接合境界面 局所領域에서의 3次元 變形率分布)

  • ;;;Shimada, Heihachi
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.6
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    • pp.1207-1216
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    • 1988
  • The most 3-Dimensional problems of composite materials, especially three-dimensional stress or strain distribution on jointed boundary in composite materials remains unsolved due to the limitations of analytic techniques. The purpose of this paper is to apply the Embedded Grid Method to model development to measure the three-dimensional strain distribution along the jointed boundary of composite materials which consist of two different materials. It was confirmed that the Embedded Grid Method was very useful in model development and measuring the three-dimensional strain distribution in a local region near the jointed boundary.

The Analysis of Tidal Effect on Stress-Strain Behavior in the Boundary Surface of Sea Dike Embankment (조석현상이 방조제 경계면의 응력-변형 거동에 미치는 영향 분석)

  • Eam, Sung Hoon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.55 no.2
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    • pp.1-8
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    • 2013
  • This study was performed for the purpose of analyzing the effect of tide on the stress-strain behavior in the boundary surface of sea dike embankment. Tide is a dynamic condition, but there are not suitable numerical models to solve the dynamic embankment condition caused by tide. So the analysis was simplified to quasi dynamic as follow. First, seepage by tide was analyzed according to elapsed time, and the results of the analysis at every hour during one periodic cycle time of 12 hours were applied to the pore water pressure conditions of stress-strain analysis with hyperbolic model by Duncan and Chang. The place at which maximum shear strain took place in the analysis result moved up and down repeatedly along the boundary of the dredged sand fill section and the crashed stone filter section. The value of maximum shear strain was large at high water level of tide. This result means that contraction and relaxation occur in turn repeatedly at every specific position along the boundary, and the repeated action compact loose position with sand moved down from the upper position by gravity. The experiment with the small sea dike model showed the result consistent with the numerical analysis. The surface of sea side on the dike collapsed at high water level after a couple of repetition of the rising and falling of water.

A Boundary Diffusion Creep Model for the Plastic Deformation of Grain Boundary Phase of Nanocrystalline Materials (나노재료 입계상의 소성변형에 대한 입계확산크립 모델)

  • 김형섭;오승탁;이재성
    • Transactions of Materials Processing
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    • v.10 no.5
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    • pp.383-388
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    • 2001
  • In describing the plastic deformation behaviour of ultrafine-grained materials, a phase mixture model in which a polycrystalline material is regarded as a mixture of a crystalline phase and a grain boundary phase has been successful. The deformation mechanism for the grain boundary phase, which is necessary for applying the phase mixture model to polycrystalline materials, is modelled as a diffusional flow of matter along the grain boundary. A constitutive equation for the boundary diffusion creep of the boundary phase was proposed, in which the strain rate is proportional to (stress/grain siz $e^{2}$). The upper limit of the stress of the boundary phase was set to equal to the strength to the amorphous phase. The proposed model can explain the strain rate and grain size dependence of the strength of the grain boundary phase. Successful applications of the model compared with published experimental data are described.

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Prediction of Creep Rupture Time and Strain of Steam Pipe Accounting for Material Damage and Grain Boundary Sliding (재료손상과 입계 미끄럼을 고려한 증기배관의 크리프 파단수명 및 변형률 예측)

  • 홍성호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.5
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    • pp.1182-1189
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    • 1995
  • Several methods have been developed to predict the creep rupture time of the steam pipes in thermal power plant. However, existing creep life prediction methods give very conservative value at operating stress of power plant and creep rupture strain cannot be well estimated. Therefore, in this study, creep rupture time and strain prediction method accounting for material damage and grain boundary sliding is newly proposed and compared with the existing experimental data. The creep damage evolves by continuous cavity nucleation and constrained cavity growth. The results showed good correlation between the theoretically predicted creep rupture time and the experimental data. And creep rupture strain may be well estimated by using the proposed method.

A boundary line between shear strain formations associated with tunnelling adjacent to an existing piled foundation (기존 파일기초에 근접한 터널굴착으로 인한 전단변형률 형성에서의 경계선)

  • Lee, Yong-Joo
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.10 no.3
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    • pp.283-293
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    • 2008
  • A study of interactive ground behaviour due to tunnelling adjacent to existing piles has not been recognized well for the most geotechnical engineers so far. Because this is a very sophisticated boundary condition problem. In this study, therefore, the author has conducted both the laboratory model test and finite element analysis (FEA) to figure out such a complicated ground behaviour related to shear strain formations. Based on the model testing and FEA results, a boundary line which divides into two distinctive shear strain formations in relation to the locations of end-bearing pile tips was proposed. The author believes that the proposed boundary line may be helpful for planning the appropriate tunnel positions for avoiding damage of buildings which supported by piled-foundations in urban areas.

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Mode I crack propagation analisys using strain energy minimization and shape sensitivity

  • Beatriz Ferreira Souza;Gilberto Gomes
    • Structural Engineering and Mechanics
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    • v.92 no.1
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    • pp.99-110
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    • 2024
  • The crack propagation path can be considered as a boundary problem in which the crack advances towards the interior of the domain. Consequently, this poses an optimization problem wherein the local crack-growth direction angle can be treated as a design variable. The advantage of this approach is that the continuous minimization of strain energy naturally leads to the mode I propagation path. Furthermore, this procedure does not rely on the precise characterization of the stress field at the crack tip and is independent of stress intensity factors. This paper proposes an algorithm based on internal point exploration as well as shape sensitivity optimization and strain energy minimization to determine the crack propagation direction. To implement this methodology, the algorithm utilizes a modeling GUI associated with an academic analysis program based on the Dual Boundary Elements Method and determines the propagation path by exploiting the elastic strain energy at points in the domain that are candidates to be included in the boundary. The sensitivity of the optimal solution is also assessed in the vicinity of the optimum point, ensuring the stability and robustness of the solution. The results obtained demonstrate that the proposed methodology accurately predicts the crack propagation direction in Mode I opening for a single crack (lateral and central). Furthermore, robust optimal solutions were achieved in all cases, indicating that the optimal solution was not highly sensitive to changes in the design variable in the vicinity of the optimal point.