• Title/Summary/Keyword: 점진균열법

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Residual Stress Measurement for Circular Disk Using Fraction Mechanics Approach (파괴역학을 이용한 원판형 부재의 잔류응력 측정)

  • 강기주;최성렬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.5
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    • pp.1218-1226
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    • 1993
  • A method, so called 'successive cracking method,' for measuring residual stresses in a circular disk is proposed. In this method residual stresses are evaluated using a fracture mechanics approach, that is, the strains measured at a point on a edge of the disk as a crack is introduced and extended from the edge are used to deduce the residual stress distribution which existed in the uncracked disk. Through finite element analysis and comparative experiments with generally used sectioning method, the successive cracking method is shown to be valid, simple and effective to measure 2-dimensional residual stress distribution in a circular disk.

Fatigue Crack Growth Analysis by EFG Method in Steel Components with Multiple Cracks (EFG법을 사용한 다수균열 함유 강부재의 피로균열 성장거동 해석)

  • 이상호;윤영철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.691-700
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    • 1999
  • 본 연구에서는 요소를 사용하지 않는 새로운 해석방법인 EFG(Element-Free Galerkin)법을 사용하여 복수의 초기균열을 지닌 강재가 반복피로하중을 받는 경우 균열들이 점진적으로 성장하여 부재가 파단에 이르는 과정을 해석적으로 규명하였다. 이를 위하여 본 연구에서는 일반적인 피로균열성장법칙을 EFG법을 이용한 균열해석 알고리즘에 적용하여 복수의 균열들이 각각의 응력상태에 따라 차별적으로 성장해 나가는 과정을 해석할 수 있는 알고리즘을 도입하고 이를 바탕으로 다양한 하중상태하에서 복수의 균열들의 성장경로를 추정함과 동시에 이에 따른 잔존수명을 산정할 수 있는 기법을 제시하였다. 본 연구에서 제안된 해석방법을 피로균열 발생빈도가 큰 몇가지의 강부재 형태에 적용해 본 결과 다수균열 함유 부재의 피로균열 성장거동과 균열들의 피로수명을 성공적으로 예측할 수 있었다.

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Shear Damage Behavior of Reinforced Concrete Beams under Fatigue Loads (반복하중을 받는 철근콘크리트보의 전단피로손상거동)

  • 오병환;한승환;이형준;김지상;신호상
    • Magazine of the Korea Concrete Institute
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    • v.10 no.1
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    • pp.143-151
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    • 1998
  • 최근들어 반복하중에 의한 철근콘크리트 구조물의 손상이 자주 발견되고 있으며 교량 등의 구조물 등은 때때로 과적차량에 의한 초과하중을 받아 이러한 피로손상이 심화되고 있다. 본 연구에서는 이러한 반복 하중을 받는 철근 콘크리트보의 누적피로손상에 대한 실험적 연구룰 수행하여 피로하중에 의한 철근콘크리트보의 손상과정을 규명하였다. 실험 변수를 전단철근의 양과 반복되는 하중의 크기 및 반복횟수로 하여 실험부재를 제작하였으며, 하중제어에 의한 휨시험법에 의해 3Hz의 반복하중을 시편에 재하하였다. 사인장 균열하중과 사인장 균열 후 반복하중에서의 보의 손상누적거동 즉 처짐. 전단철근의 변형도, 에너지 손실 등의 변화를 실험적으로 평가하였으며, 이를 통하여 반복하중에 의한 누적손상에 의해 철근 콘크리트보의처짐 및 전단변형도가 초기하중상태에서는 급격히 증가하다가 이후 점진적으로 증가하는 것을 규명하였다. 본 연구의 결과는 사용하중상태에서 점진적으로 발생할 수 있는 피로손상의 누적과정을 기술하여 주고 있다.

Shear Strength of the ${Cu_6}{Sn_5}$-dispersed Sn-Pb Solder Bumps Fabricated by Screen Printing Process (${Cu_6}{Sn_5}$를 분산시켜 스크린 프린팅법으로 제조한 Sn-Pb 솔더범프의 전단강도)

  • Choe, Jin-Won;Lee, Gwang-Eung;Cha, Ho-Seop;O, Tae-Seong
    • Korean Journal of Materials Research
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    • v.10 no.12
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    • pp.799-806
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    • 2000
  • Cu$_{6}$Sn$_{5}$-dispersed 63Sn-37Pb solder bumps of 760$\mu\textrm{m}$ size were fabricated on Au(0.5$\mu\textrm{m}$)/Ni(5$\mu\textrm{m}$)/Cu(27$\pm$20$\mu\textrm{m}$) BGA substrates by screen printing process, and their shear strength were characterized with variations of dwell time at reflow peak temperature and aging time at 15$0^{\circ}C$ . With dwell time of 30 seconds at reflow peak temperature, the solder bumps with Cu$_{6}$Sn$_{5}$ dispersion exhibited higher shear strength than the value of the 63Sn-37Pb solder bump. With increasing the dwell time longer than 60 seconds, however the shear strength of the Cu$_{6}$Sn$_{5}$-dispersed solder bumps became lower than that the 63Sn-37Pb solder bumps. The failure surface of the solder bumps could be divided into two legions of slow crack propagation and critical crack propagation. The shear strength of the solder bumps was inversely proportional to the slow crack propagation length, regardless of the dwell time at peak temperature, aging time at 150 $^{\circ}C$ and the volume fraction of Cu$_{6}$Sn$_{5}$ dispersion.> 5/ dispersion.

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Model and Method for Post-Failure Analysis of Composite Structure (복합재 구조물의 초기파손후의 거동묘사를 위한 모델과 해석방법)

  • 김용완;황창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.506-513
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    • 1992
  • 본 연구에서는 복합재 구조물에 대하여 유한요소해석법에 현상학적 모델인 전 단지연해석을 도입하여 강성저하와 모재파손을 예측하고 변형률을 매개변수로 한 Wei- bull 함수를 섬유파손해석에 도입하여 초기파손후의 거동을 묘사하고자 한다. 그리 고 면내전단하중이 작용하는 경우에 대해 전단지연해석을 수행할 수 있도록 모델링을 확장했다. 모재균열의 존재로 인한 단층의 강성변화는 실험으로 측정이 불가능하므 로 유한요소해석을 수행하여 비교하였다. 이 모델로부터 전단강성의 저하를 평가하 는 방법을 사용하였으며, 모재파손의 밀도 예측도 평균변형률 개념으로 전단효과를 고 려할 수 있도록 수정하였다. 그리고 초기파손후의 거동을 점진적으로 해석하기 위해 비선형 유한요소프그램을 작성하고, 상기의 모델을 도입하여 초기파손후의 거동을 보 다 정확히 묘사할 수 있는 방법을 제시하고 예로서 평시편에 대해 해석하고 실험치 및 타방법의 결과와 비교하였다.

Polygonal Grain-Based Distinct Element Modelling of Mechanical Characteristics and Transverse Isotropy of Rock (다각형 입자 기반 개별요소모델을 통한 암석의 역학적 특성과 횡등방성 모사)

  • Park, Jung-Wook;Park, Chan;Ryu, Dongwoo;Choi, Byung-Hee;Park, Eui-Seob
    • Tunnel and Underground Space
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    • v.26 no.3
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    • pp.235-252
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    • 2016
  • This study presents a methodology to reproduce the mechanical behavior of isotropic or transversely isotropic rock using the polygonal grain-based distinct element model. A numerical technique to monitor the evolution of micro-cracks during the simulation was developed in the present study, which enabled us to examine the contribution of tensile cracking and shear cracking to the progressive process of the failure. The numerical results demonstrated good agreement with general observations from rock specimens in terms of the behavior and the evolution of micro-cracks, suggesting the capability of the model to represent the mechanical behavior of rock. We also carried out a parametric study as a fundamental work to examine the relationships between the microscopic properties of the constituents and the macroscopic behavior of the model. Depending on the micro-properties, the model exhibited a variety of responses to the external load in terms of the strength and deformation characteristics. In addition, a numerical technique to reproduce the transversely isotropic rock was suggested and applied to Asan gneiss from Korea. The behavior of the numerical model was in good agreement with the results obtained in the laboratory-scale experiments of the rock.

Grain-Based Distinct Element Modeling of Thermoshearing of Rock Fracture: DECOVALEX-2023 Task G (입자기반 개별요소모델을 이용한 암석 균열의 Thermoshearing 거동 해석: 국제공동연구 DECOVALEX-2023 Task G)

  • Jung-Wook, Park;Li, Zhuang;Jeong Seok, Yoon;Chan-Hee, Park;Changlun, Sun;Changsoo, Lee
    • Tunnel and Underground Space
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    • v.32 no.6
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    • pp.568-585
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    • 2022
  • In the present study, we proposed a numerical method for simulating thermally induced fracture slip using a grain-based distinct element model (GBDEM). As a part of DECOVALEX-2023, the thermo-mechanical loading test on a saw-cut rock fracture conducted at the Korea Institute of Civil Engineering and Building Technology was simulated. In the numerical model, the rock sample including a saw-cut fracture was represented as a group of random Voronoi polyhedra. Then, the coupled thermo-mechanical behavior of grains and their interfaces was calculated using 3DEC. The key concerns focused on the temperature evolution, thermally induced principal stress increment, and fracture normal and shear displacements under thermo-mechanical loading. The comparisons between laboratory experimental results and the numerical results revealed that the numerical model reasonably captured the heat transfer and heat loss characteristics of the rock specimen, the horizontal stress increment due to constrained displacement, and the progressive shear failure of the fracture. However, the onset of the fracture slip and the magnitudes of stress increment and fracture displacement showed discrepancies between the numerical and experimental results. We expect the numerical model to be enhanced by continuing collaboration and interaction with other research teams of DECOVALEX-2023 Task G and validated in further study.

A Study on the Stress Induced Brittle Failure around Openings with Cross-sectional Shape by Scaled Model Test and DEM Simulation (모형시험과 개별요소법을 이용한 단면 형상에 따른 공동 주변 취성파괴에 관한 연구)

  • Bae, Seong-Ho;Jeon, Seok-Won;Park, Eui-Seob
    • Tunnel and Underground Space
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    • v.17 no.5
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    • pp.389-410
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    • 2007
  • For moderately jointed to massive rock masses, the failure and deformation behaviors around an excavated opening are absolutely influenced by the initial rock stress and strength of in-situ rock mass. The localized and progressive brittle failure around an opening does not mean whole collapse of an excavated opening. But, for many cases, it may induce temporary stopping of excavation works and reexamination of the current supporting system, which can result in delay of the entire construction works and additional construction cost. In this paper, the characteristics of the brittle failure around an opening with stress level and tunnel shape was studied by the biaxial compressive test using scaled specimen and by the numerical simulation with $PFC^{2D}$. The biaxial test results were well coincided with the stress induced failure patterns around the excavated openings observed and monitored in the in-situ condition. For the circular part of the opening wall, the stress induced cracks initially occurred at the wall surface in the direction of the minimum principal stress and contributed to the localized notch shaped failure region having a certain range of angle. But for the corner and straight part of the opening wall, the cracks initiated at sharp corners were connected and coalesced each other and with existing micro cracks. Further they resulted in a big notch shaped failure region connecting two sharp corners.

Finite Element Analysis of Ultra High Performance Fiber Reinforced Concrete 50M Composite Box Girder (초고강도 섬유보강 콘크리트 50M 합성 박스거더의 유한요소해석)

  • Makhbal, Tsas-Orgilmaa;Kim, Do-Hyun;Han, Sang-Mook
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.6 no.2
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    • pp.100-107
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    • 2018
  • The material and geometrical nonlinear finite elment analysis of UHPFRC 50M composite box girder was carried out. Constitute law in tension and compressive region of UHPFRC and HPC were modeled based on specimen test. The accuracy of nonlinear FEM analysis was verified by the experimental result of UHPFRC 50M composite girder. The UHPFRC 50M segmental composite box girder which has 1.5% steel fiber of volume fraction, 135MPa compressive strength and 18MPa tensile strength was tested. The post-tensioned UHPFRC composite girder consisted of three segment UHPFRC U-girder and High Strength Concrete reinforced slab. The parts of UHPFRC girder were modeled by 8nodes hexahedron elements and reinforcement bars and tendons were built by 2nodes linear elements by Midas FEA software. The constitutive laws of concrete materials were selected Multi-linear model both of tension and compression function under total strain crack model, which was included in classifying of smeared crack model. The nonlinearity of reinforcement elements and tendon was simulated by Von Mises criteria. The nonlinear static analysis was applied by incremental-iteration method with convergence criteria of Newton-Raphson. The validation of numerical analysis was verified by comparison with experimental result and numerical analysis result of load-deflection response, neutral axis coordinate change, and cracking pattern of girder. The load-deflection response was fitted very well with comparison to the experimental result. The finite element analysis is seen to satisfactorily predict flexural behavioral responses of post-tensioned, reinforced UHPFRC composite box girder.