• Title/Summary/Keyword: 응력경로

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Fracture Mechanics Analysis of a Interface Crack in the Weld of Dissimilar Steels using the J-integral (J-적분을 이용한 이종강재 용접접합부 계면균열의 파괴역학적 해석)

  • Lee Chin-Hyung;Chang Kyong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.4
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    • pp.423-431
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    • 2004
  • For the fracture mechanics analysis of cracks in welds of dissimilar steels, residual stress analysis and fracture analysis must be performed simultaneously. The standard definition of the J -integral leads to a path dependent value in the presence of a residual stress field. And unlike cracks in homogeneous materials, a bimaterial interface crack always induces both opening and shearing modes of stress in the vicinity of the crack tip. Therefore, it is necessary to develope a path independent J-integral definition for a crack in a residual stress field generated by welding of dissimilar steels. This paper addresses the modification of the Rice-J-integral to produce a path independent J -integral when residual stresses due to welding of dissimilar steels and external forces are present. The residual stress problem is treated as an initial strain problem and the J-integral proposed for this class of problems is used. And a program which can evaluate the J -integral for a crack in a weld of dissimialr steels is developed using proposed J integral definition.

Constitutive Model for Hardening Materials such as Rock or Concrete (암석이나 콘크리트와 같은 경화재료에 대한 구성모델)

  • Kang, Byung Sun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.161-171
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    • 1993
  • The aim of this study is to provide the stress-strain behavior of hardening geological materials such as rock or concrete on three dimensional spaces by using Desai model based on plastic theory. To validate proposed model, truly triaxial tests with high pressure under variety of stress paths in which three principal stresses were controlled independently using concrete materials were performed. The main results are summerized as follows: 1. Various stress paths for hardening materials used are satisfactorily explained by performing the truly triaxial test with high pressure. This is very important to investigate constitutive equations for materials like rock or concrete. 2. Since the proposed yield function is continuous, it avoids the singularity point at the intersection of two function in the previous models, thus, reducing the difficulties for computer implementation. 3. Analytic predictions for yielding behavior on $J_1-{\sqrt{J_{2D}}}$ octahedral and triaxial plane, as well as volumetric strain and stress-strain behavior agree well with experimental results.

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Variation of Undrained Shear Behavior with Consolidation Stress Ratio of Nakdong River Sand (압밀응력비에 따른 낙동강모래의 비배수전단거통 특성)

  • 김영수;정성관;송준혁;정동길
    • Journal of the Korean Geotechnical Society
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    • v.19 no.4
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    • pp.83-93
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    • 2003
  • This research, in order to study the effects of initial shear stress of anisotropically consolidated sand that has 0.558% fines, performed several undrained static and dynamic triaxial test. To simulate the real field conditions, loose and dense samples were prepared. Besides, the cyclic shear strength of Nakdong River sand under various combinations of initial static shear stress, stress path, pore water pressure and residual strength relationship was studied. By using Bolton's theory, peak internal friction angle at failure which has considerable effects on the relative density and mean effective stress was determined. In p'- q diagram, the phase transformation line moves closer to the failure line as the specimen's initial anistropical consolidation stress increases. Loose sands were more affected than dense sands. The increase of consolidation stress ratio from 1.4 to 1.8 had an effect on liquefaction resistance strength resulting from the increase of relativity density, and showed similar CSR values in dense specimen condition.

Strength Characteristics of Sand in Torsion Shear Tests (비틀림전단시험에 의한 모래의 강도특성)

  • Nam, Jeong-Man;Hong, Won-Pyo;Han, Jung-Geun
    • Geotechnical Engineering
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    • v.13 no.4
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    • pp.149-162
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    • 1997
  • A series of torsion shear tests were performed to study the strength characteristics of sand under various stress paths during rotation of principal stress. These results can be classified into two groups of 25cm and 40cm according to the height of specimen, and toy que was applied only in the clockwise direction. In this study, strength characteristics of sand for the principal stress ratio in torsion sheartests were investigated and their results were compared with Lade's failure criterion. And the effect for specimen was considered. From the results of tests, friction angle of sand was affected by the deviatoric principal stress ratio $b:(\sigma_2 -\sigma_s)/(\sigma_2, -\sigma_3)$Failure strength of sand was determined not by the stress paths but by the current stress state. From comparison of specimens on 25cm and 40cm height, effect of end restraint could not be found. In the test where b is over 0.5 due to extension force, necking phenomenon by the strain localization was found.

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Evaluation of Thin Film Residual Stress through the Analysis of Stress Relaxation Path and the Modeling of Contact Morphology (응력완화 경로분석과 압입자/시편간 접촉형상 모델링에 바탕한 박막재료의 국소 잔류응력 평가)

  • Lee, Yun-Hee;Kim, Sung-Hoon;Jang, Jae-Il;Kwon, Dong-Il
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.237-242
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    • 2001
  • Residual stress is a dominant obstacle to efficient production and safe usage of products by reducing the mechanical strength and failure properties. Especially, it causes interfacial failure and substrate deflection in the case of thin film. So, the exact evaluation and optimum control of thin film residual stress is indispensable. However, hole drilling or X-ray diffraction techniques have some limits in application to thin film. And, curvature technique for thin film materials cannot give the information about local stress variation. Therefore, we applied the nanoindentation technique in evaluating the thin film residual stress. In this study, we modeled the change of indentation loading curve for residually stressed and stress-free thin films during stress relaxation. The value of residual stress was directly related to the indentation depth change by relaxation. The residual stress from nanoindentation analysis was consistent with the result from curvature technique.

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Two-Dimensional Model Analysis for Extended Finite Element Method(XFEM) Verification of General Purpose Finite Element Analysis Program (범용유한요소해석 프로그램의 확장유한요소법 성능 검증을 위한 2차원 모델 해석)

  • Lee, Young Hwan;Kim, Donghwan;Park, Jaegyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.4
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    • pp.199-206
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    • 2018
  • In this study, numerical analysis is applied to a two - dimensional model for verifying the general finite element program, Abaqus' s extended finite element method(XFEM). The cohesive element model used in the existing research has a limitation in simulating the actual crack because of the disadvantage that the crack path should be predicted and the element should be inserted. For this reason, the extended finite element method(XFEM), which predicts the path of cracks based on the directionality and specificity of stress, is emerging as a new solution in crack analysis. The validity of the XFEM application was confirmed by comparing the cohesive element analysis with the XFEM analysis by applying the crack path to the self - evident two - dimensional model. Numerical analysis confirms stress distribution and stress specificity immediately before crack initiation and compares it with actual crack initiation path. Based on this study, it is expected that cracks can be simulated by performing actual crack propagation analysis of complex models.

A Constitutive Model for Normally Consolidated Clays (정규압밀점토의 응력 -변형률 구성 방정식)

  • 이영휘
    • Geotechnical Engineering
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    • v.8 no.2
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    • pp.71-80
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    • 1992
  • A new constitutive model is proposed for normally consolidated clays. A main skeleton of the proposed model is based on the concepts of the incremental stress-strain theory by Roscoe and Poorooshasb. The equation of the undrained stress path is formulated by introducing the new pore pressure parameter(C), which is the slope of the linear line in the plot of the normalized pore pressure against the stress ratio. Once the stress increment along the constant stress ratio path (followed by untrained stress path) is know, the volumetric strains are calculated from the linear characteristics between void ratio and logarithm of the mean normal stress for any stress ratio. Then the incremental shear strains are successfully predicted by applying the flow rule derived in the modified theory by Roscoe and Burland.

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Characteristics of the Stress Path of a Sabkha Layer Consisting of Carbonate Sand, as Obtained by the Triaxial Test after Particle Crushing (Sabkha층 탄산질 모래의 삼축압축시 입자파쇄로 인한 응력경로 특성)

  • Kim, Seok-Ju;Yi, Chang-Tok;Jang, Jae-Ho;Han, Heui-Soo
    • The Journal of Engineering Geology
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    • v.24 no.1
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    • pp.23-38
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    • 2014
  • The composition of carbonate sands from a sabkha at Ruwais in the UAE differs from that of silica sand, and these sands are crushed easily under low compression pressures. Accordingly, particle crushing of carbonate sand occurs under high pressure, which results in additional settlement and reduces the shear strength. In this study, consolidation and triaxial tests were conducted to analyze the characteristics of carbonate sands following particle crushing. The unusual shear strength graphs of the carbonate sands result from the degree of particle pre-crushing. For the range at p' > p in the p (p')-q diagram, negative (-) excess porewater pressures occur if the axial pressure causes particle crushing that induces exposure of the inner voids. In addition, the q value decreased after particle crushing. In conclusion, the unusual characteristics of the carbonate sands were induced by particle crushing. The triaxial tests revealed that the degree of particle pre-crushing influenced the excess porewater pressure.

Constitutive Equation for Clay in Overconsolidation State and Under Cyclic Loading (과압밀상태 및 반복하중을 받는 점토지반에 대한 구성모델)

  • 이승래;김주용
    • Geotechnical Engineering
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    • v.10 no.1
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    • pp.7-18
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    • 1994
  • A new model for describing the behavior of clay under monotonic and cyclic loading is proposed. This model uses the hyperbolic representation for the stress -strain relationship in overconsolidated state and it describes undrained effective stress path on the basis of the critical state theory. The developed constitutive model by using an energy dissipation equation can describe the behavior of clay in heavily overconsolidated state as u.ell as lightly overconsolidated state under monotonic loading. In order to extend the model for the behavior of clay under cyclic loading, a shift function of undrained stress spacing ratio is introduced in the constitutive model developed for monotonlc loading. A single additional parameter is required to represent the cyclic effect and it can be reasonably deter mined from the test results. The measured behavior in undrained cyclic triaxial tests has been easily and precisely predicted by the newly developed constitutive model.

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