• Title/Summary/Keyword: axial cracks

Search Result 192, Processing Time 0.025 seconds

Crack Energy and Governing Equation of an Extensible Beam with Multiple Cracks (다중 균열을 갖는 신장 보의 균열 에너지와 지배방정식)

  • Shon, Sudeok
    • Journal of Korean Association for Spatial Structures
    • /
    • v.24 no.1
    • /
    • pp.65-72
    • /
    • 2024
  • This paper aims to advance our understanding of extensible beams with multiple cracks by presenting a crack energy and motion equation, and mathematically justifying the energy functions of axial and bending deformations caused by cracks. Utilizing an extended form of Hamilton's principle, we derive a normalized governing equation for the motion of the extensible beam, taking into account crack energy. To achieve a closed-form solution of the beam equation, we employ a simple approach that incorporates the crack's patching condition into the eigenvalue problem associated with the linear part of the governing equation. This methodology not only yields a valuable eigenmode function but also significantly enhances our understanding of the dynamics of cracked extensible beams. Furthermore, we derive a governing equation that is an ordinary differential equation concerning time, based on orthogonal eigenmodes. This research lays the foundation for further studies, including experimental validations, applications, and the study of damage estimation and detection in the presence of cracks.

Seismic performance of 1/4-scale RC frames subjected to axial and cyclic reversed lateral loads

  • Bechtoula, Hakim;Sakashita, Masanobu;Kono, Susumu;Watanabe, Fumio
    • Computers and Concrete
    • /
    • v.2 no.2
    • /
    • pp.147-164
    • /
    • 2005
  • This paper summarizes an experimental study on the seismic behavior of lower stories of a mid-rise reinforced concrete frame building. Two reinforced concrete frames with two stories and one span were tested and each frame represents lower two stories of an 11-story RC frame building. Both frames were designed in accordance with Japanese design guidelines and were identical except in the variation of axial force. The tests demonstrated that the overall load-displacement relations of the two frames were nearly the same and the first-story column shear was closely related to the column axial load. The columns and beams elongated during both of the tests, with the second-floor beam elongation exceeding 1.5% of the beam clear span length. The frame with higher axial loads developed more cracks that the frame under moderate axial load.

Improvement of Durability and Reliability by Developing a Bi-axial Test Process of Road Wheel (차량 로드 휠의 복합축 평가 프로세스 구축을 통한 내구신뢰성 강건화 및 주행안정성 향상)

  • Chung, Soo Sik;Yoo, Yoen Sang;Kim, Dae Sung
    • Journal of Auto-vehicle Safety Association
    • /
    • v.8 no.1
    • /
    • pp.26-30
    • /
    • 2016
  • The steel road wheel on ventilation holes was cracked in the vehicle durability test. But the component durability test by uni-axial, CFT(Cornering Fatigue Test) and RFT(Radial Fatigue Test) had been satisfied. That is, the uni-axial component test could not forecast the crack of vehicle. Therefore this study developed the bi-axial test mode to reflect a vehicle condition(to reflect both vertical and lateral force simultaneously) based on real load data which was measured in Europe and China and developed CAE simulation too. It reproduced the cracks same as vehicle's and verified by bi-axial test machine in the LBF(Fraunhofer Institute for Structural Durability and System Reliability) durability research center in Germany. Finally this the durability CAE simulation by using HMC(Hyundai Motor Company)'s the bi-axial test mode predicts feasibly the steel wheel's durability performance before vehicle durability test.

A Study on the Measurement of Axial Cracks in the Magnetic Flux Leakage NDT System (자기누설 비파괴 검사 시스템에서 축방향 미소결함 측정에 관한 연구)

  • Kim, Hui-Min;Park, Gwan-Soo;Rho, Yong-Woo;Yoo, Hui-Ryong;Cho, Sung-Ho;Kim, Dong-Kyu;Koo, Sung-Ja
    • Journal of the Korean Magnetics Society
    • /
    • v.22 no.2
    • /
    • pp.49-57
    • /
    • 2012
  • From among the NDT (Non-Destructive Testing) methods, the MFL (Magnetic Flux Leakage) PIG (Pipeline Inspection Gauge) is especially suitable for testing pipelines because the pipeline has high magnetic permeability. MFL PIG showed high performance in detecting the metal loss and corrosions. However, MFL PIG is difficult to detect the crack which occured by exterior-interior pressure difference in pipelines and the shape of crack is very long and narrow. Therefore, the new PIG is needed to be researched and developed for detecting the cracks. The CMFL (Circumferential MF) PIG performs magnetic fields circumferentially and can maximize the magnetic flux leakage at the cracks. In this paper, CMFL PIG is designed and the distribution of the magnetic fields is analyzed by using 3 dimensional nonlinear finite element method (FEM). By Simulating and Measuring the magnetic leakage field, it is possible to detect of axial cracks in the pipeline.

ON CRACK INTERACTION EFFECTS OF IN-PLANE SURFACE CRACKS USING ELASTIC AND ELASTIC-PLASTIC FINITE ELEMENT ANALYSES

  • Kim, Jong-Min;Huh, Nam-Su
    • Nuclear Engineering and Technology
    • /
    • v.42 no.6
    • /
    • pp.680-689
    • /
    • 2010
  • The crack-tip stress fields and fracture mechanics assessment parameters for a surface crack, such as the elastic stress intensity factor or the elastic-plastic J-integral, can be affected significantly by the adjacent cracks. Such a crack interaction effect due to multiple cracks can alter the fracture mechanics assessment parameters significantly. There are many factors to be considered, for instance the relative distance between adjacent cracks, the crack shape, and the loading condition, to quantify the crack interaction effect on the fracture mechanics assessment parameters. Thus, the current assessment codes on crack interaction effects (crack combination rules), including ASME Sec. XI, BS7910, British Energy R6 and API 579-1/ASME FFS-1, provide different rules for combining multiple surface cracks into a single surface crack. The present paper investigates crack interaction effects by evaluating the elastic stress intensity factor and the elastic-plastic J-integral of adjacent in-plane surface cracks in a plate through detailed 3-dimensional elastic and elastic-plastic finite element analyses. The effects on the fracture mechanics assessment parameters of the geometric parameters, the relative distance between two cracks, and the crack shape are investigated systematically. As for the loading condition, an axial tension is considered. Based on the finite element results, the acceptability of the crack combination rules provided in the existing guidance was investigated, and the relevant recommendations on a crack interaction for in-plane surface cracks are discussed. The present results can be used to develop more concrete guidance on crack interaction effects for crack shape characterization to evaluate the integrity of defective components.

Finite Element Modeling of Perturbation Fields due to Colonies of Stress Corrosion Cracks(SCCs) in a Gas Transmission Pipeline (가스공급배관에서 응력부식균열 군에 의해 교란된 자속의 유한요소 모델링)

  • Yang, Sun-Ho
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.21 no.5
    • /
    • pp.493-500
    • /
    • 2001
  • The detection of axial cracks using conventional MFL pig is a significant challenge in the gas pipeline inspection. In this study, a technique using interaction of circumferentially induced torrents with axial stress corrosion crack is presented. The feasibility of this technique is investigated using finite element modeling. Finite element analysis of such interaction is a difficult problem in terms of both computation time and memory requirements. The challenges arise due to the nonlinearity of material properties, the small sire of tight cracks relative to that of the magnetizer, and also time stepping involved in modeling velocity effects. This paper presents an approach based on perturbation methods. The overall analysis procedure is divided into 4 simple steps that can be performed sequentially. Modeling results show that this technique can effectively detect colonies of SCC as well as single SCC.

  • PDF

Investigation of Maximum External Pressure of Helically Coiled Steam Generator Tubes with Axial and Circumferential Through-Wall Cracks (축방향 및 원주방향 관통균열이 존재하는 나선형 전열관의 파손 외압 평가)

  • Lim, Eun-Mo;Huh, Nam-Su;Choi, Shin-Beom;Yu, Je-Yong;Kim, Ji-Ho;Choi, Suhn
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.22 no.3_1spc
    • /
    • pp.573-579
    • /
    • 2013
  • Once-through helically coiled steam generator tubes subjected to external pressure are of interest because of their application to advanced small- and medium-sized integral reactors, in which a primary coolant with a relatively higher pressure flows outside the tubes, while secondary water with a relatively lower pressure flows inside the tubes. Another notable point is that the values of the mean radius to thickness ratio of these steam generator tubes are very small, which means that a thick-walled cylinder is employed for these steam generator tubes. In the present paper, the maximum allowable pressure of helically coiled and thick-walled steam generator tubes with through-wall cracks under external pressure is investigated based on a detailed nonlinear three-dimensional finite element analysis. In terms of the crack orientation, either circumferential or axial through-wall cracks are considered. In particular, in order to quantify the effect of the crack location on the maximum external pressure, these cracks are assumed to be located in the intrados, extrados, and flank of helically coiled cylinders. Moreover, an evaluation is also made of how the maximum external pressure is affected by the ovality, which might be inherently induced during the tube coiling process used to fabricate the helically coiled steam generator tubes.

Root Cause Analysis of Axial ODSCC of Steam Generators Tubes of OPR1000 (한국표준형 원전 증기발생기 전열관 축방향 ODSCC 발생원인 분석)

  • Kim, Hong-deok;Park, Su-ki;Yim, Chang Jae;Chung, Han Sub
    • Transactions of the Korean Society of Pressure Vessels and Piping
    • /
    • v.6 no.1
    • /
    • pp.83-88
    • /
    • 2010
  • Domestic nuclear steam generators with Alloy 600 HTMA tubes have experienced axial cracking at eggcrate tube support plates(TSPs). The axial stress corrosion cracks were observed at the crevice between outside of tubes and eggcrate TSPs. The root cause of axial cracking was investigated by thermal hydraulic analysis and sludge distribution diagnosis. It is suggested that deposition of sludge at eggcrate TSPs could increase the outside surface temperature of tube and promote the enrichment of impurities at crevice, and thus accelerate cracking. Additionally strategy for reducing the sludge ingress to steam generators is discussed.

  • PDF

Experimental and Analytical Study on the Burst Pressure of Steam Generator Tubes with T-type Combination Cracks (증기발생기 전열관에 존재하는 T-형 복합 균열의 파열압력 시험 및 해석)

  • Shin, Kyu-In;Park, Jai-Hak;Yoon, Kee-Bong
    • Journal of the Korean Society of Safety
    • /
    • v.20 no.2 s.70
    • /
    • pp.38-43
    • /
    • 2005
  • Several nuclear power plants reported that they often found the combination cracks, which consist of longitudinal and circumferential cracks in the tubes. For the burst pressure of a tube with a single longitudinal or circumferential crack several experimental equations have been proposed in published literatures. But for the combination crack appropriate fracture criterion has not been proposed yet. In this study the burst pressures of a tube with a longitudinal crack or a T-type combination crack consisting of longitudinal and circumferential cracks were obtained experimentally and analytically. Fracture parameters such as crack opening angle (COA) were investigated by using elastic plastic analysis. Also the burst pressure far a T-type combination crack located near a tubesheet was considered to develop a length-based criterion. Because most of the axial, circumferential or combination cracks initiate in roll transition zone near the tubesheet.

Evaluation of Limit Loads for Surface Cracks in the Steam Generator Tube (증기발생기 전열관에 존재하는 표면균열의 한계하중 평가)

  • Kim Hyun-Su;Kim Jong-Sung;Jin Tae-Eun;Kim Hong-Deok;Chung Han-Sup
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.30 no.8 s.251
    • /
    • pp.993-1000
    • /
    • 2006
  • Operating experience of steam generators has shown that cracks of various morphology frequently occur in the steam generator tubes. These cracked tubes can stay in service if it is proved that the tubes have sufficient safety margin to preclude the risk of burst and leak. Therefore, integrity assessment using exact limit load solutions is very important for safe operation of the steam generators. This paper provides global and local limit load solutions for surface cracks in the steam generator tubes. Such solutions are developed based on three-dimensional (3-D) finite element analyses assuming elastic-perfectly plastic material behavior. For the crack location, both axial and circumferential surface cracks, and for each case, both external and internal cracks are considered. The resulting global and local limit load solutions are given in polynomial forms, and thus can be simply used in practical integrity assessment of the steam generator tubes.