• Title/Summary/Keyword: First Crack

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Computation of Crack Tip Stress Intensity Factor of A Slow-Crack-Growth-Test Specimen for Plastic Pipe Using Finite-Element Method (유한요소법에 의한 플라스틱 파이프의 저속균열성장 시험편 균열선단 응력확대계수 계산)

  • Park, Yeong-Joo;Suh, Yeong-Sung;Choi, Sun-Woong;Pyo, Soo-Ho
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.19-24
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    • 2004
  • The mode I stress intensity factor ($K_I$) of a newly proposed slow-crack-growth-test (Notched Ring Test, NRT) specimen was found using finite-element method. The theoretical $K_I$ value of NRT was not available in any references and could not be solved analytically. At first, in order to verify the accuracy of the finite-element approach, published $K_I$ values of several cracks were calculated and compared with finite-element results. The results were in excellent agreement within inherent errors of theoretical $K_I$. Finally the $K_I$ of NRT was found using 2- and 3-dimensional finite-element methods and expressed as a function of the applied load.

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Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y Direction (Y방향을 따라 물성치구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Lee, Kwang-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.1
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    • pp.37-44
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    • 2006
  • Stress and displacement fields of a Mode III crack propagating along the normal to gradient in an orthotropic functionally gradient materials (OFGM), which has (1) an exponential variation of shear modulus and density, and (2) linear variation of shear modulus with a constant density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields for a propagating crack at constant speed though an asymptotic analysis. The first three terms in expansion of stress and displacement are derived to explicitly bring out the influence of nonhomogeneity. When the FGM constant ${\zeta}$ is zero or $r{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

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Coupled Bending and Torsional Vibrations Analysis of Cracked L-shaped Beam (크랙을 가진 L형 단면 보의 횡-비틀림 연성진동 해석)

  • Son, In-Soo;Kim, Chang-Ho;Cho, Jeong-Rae
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.10 no.4
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    • pp.8-15
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    • 2011
  • In this paper, the influence of a crack on the natural frequency of cracked cantilever L-shaped beam with coupled bending and torsional vibrations by analytically and experimentally is analyzed. The L-shaped beam with a crack is modeled by Hamilton's principle with consideration of bending and torsional energy. The two coupled governing differential equations are reduced to one sixth-order ordinary differential equation in terms of the flexural displacement. The crack is assumed to be in the first, second and third mode of fracture and to be always opened during the vibrations. The theoretical results are validated by a comparison with experimental measurements. The maximal difference between the theoretical results and experimental measurements of the natural frequency is less than 7.5% in the second vibration mode.

Stability Analysis of Cracked Cantilever T-beams Subjected to Subtangential Follower Force (경사종동력을 받는 T형상 크랙 보의 안정성 해석)

  • Son, In-Soo;Jo, Jeong-Rae
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.3
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    • pp.49-55
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    • 2010
  • In this paper, the stability of cracked cantilever T-beams subjected to subtangential follower force is investigated. Also, the effect of subtangential coefficient and crack on the natural frequency of T-beams is presented. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by the energy expressions using extended Hamilton's Principle. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The values of critical follower force and the stability maps of cantilever T-beams are obtained according to the subtangential coefficient and crack severity. The results of this study will contribute to the safety testing and the stability estimation of cracked T-beams subjected to follower force.

Boundary Element Evaluation of Stress Intensity Factor for Interface Crack in Elastic and Viscoelastic Composite Materials (경계요소법에 의한 탄성-점탄성 복합구조체의 계면균열 해석)

  • 이상순;김정규;황종근
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.85-91
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    • 1996
  • The focus of the present work is on the computation of the stress intensity factor for the crack at the elastic-viscoelastic bimaterial interface. First, the stress intensity factor for an interface crack in dissimilar elastic and viscoelastic materials is dervied by applying the correspondence principle to associated elastic expression. Then the time-domain boundary element analysis is performed to calculate the stress intensity factor. Numerical results show that the proposed method is very useful for the analysis of the interface crack in elastic and viscoelastic materials.

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Crack Mitigation of Reinforced Concrete and Expansive SHCC Composite Slabs (콘크리트와 팽창형 SHCC 합성 슬래브의 균열제어 성능)

  • Yun, Hyun-Do;Lim, Sung-Chan;T., Iizuka;Y., Sakaguchi;K., Rokugo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.23-24
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    • 2009
  • This paper explores the structural application of an expansive SHCC to improve the crack-damage properties of RC flexural members. The results of test on four simply supported slabs are described. The effect of the type of SHCC (Non-and expansive SHCC) and thickness of SHCC layer (10 and 20mm) on the ultimate flexural load, first crack load, crack width and spacing, and the load-deflection relationship of one-way slabs was investigated.

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Estimation of a Mass Unbalance Under the Crack on the Rotating Shaft

  • Park, Rai-Wung
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.228-234
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    • 2000
  • The aim of the work is to present a new method of estimating the existence of a mass unbalance and mass unbalance under a crack on a rotating shaft. This is an advanced new method for the detection of a mass unbalance and a new way to estimate the position of it under crack influence. As the first step, the shaft is physically modelled with a finite element method and the dynamic mathematical model is derived by using the Hamilton principle; thus, the system is represented by various subsystems. The equation of motion of the shaft with a mass unbalance and a crack are established by adapting the local mass unbalance and the stiffness change. this is a reference system for the given system. Based on a model for transient behavior induced from vabrations measured at the bearings, an elementary Estimator is designed to detect mass unblance on the shaft. Using the Estimator, a bank of the Estimator is established to estimate the estimate the position of the mass unbalance and arranged at a certain location on the shaft. The informations for the given system are the measurements of bearing displacements and velocity.

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A Study on the Fracture Phenomena in Optical Disks due to Increase of the Rotating Speed (회전속도 증가에 의한 광디스크의 파괴현상에 관한 연구)

  • Cho, Eun-Hyoung;Park, Jun-Min;Seo, Young-Sun;Chung, Jin-Tai
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.339-344
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    • 2000
  • In this study, the fracture phenomena of optical disks are discussed and then some recommendations are presented to prevent the fracture. The fracture occurs when disks have crack on the inner radius of the disks. Since the crack growth and the fracture result from the stress concentration on the tip of the crack, a measure should be taken to overcome the stress concentration. This problem can be resolved by the structural modification of a disk. This study proposes 3 types of improved optical disks, which are robust to the disk fracture due to the high spinning speed of a disk. The first type is a disk reinforced by wire rings, the second type is a disk added by texture fibers, and the third type is a rubber-coated disk.

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Contact Damage and Fracture of Poreclain/Glass-Infiltrated Alumina Layer Structure for Dental Application (치아 응용을 위한 /유리침윤 알루미나 이중 층상구조의 접촉손상 및 파괴)

  • 정연길;여정구;최성설
    • Journal of the Korean Ceramic Society
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    • v.35 no.12
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    • pp.1257-1265
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    • 1998
  • Hertzian contact tests were used to investigate the evolution of fracturedamage in the coating layer as functions of contact load and coating thickness by studying crack patterns in porcelain on glass-infiltrated alumina bilayer system conceived to simulate the crown structure of a tooth. Cone cracks initiated at the coating top surface without delamination at interface and crack propagation to substrate. Preferentially the cracks made multi-cracks at the coating top surface rather than proceeding to interface. The cracks were highly stabilized with wide ranges between the loads to initiate first cracking and to cause final failure im-plying damage-tolerant capability. Finite element modelling was used to evaluate the stress distribution. Maximum tensile stress were responsible for the cracking at the coating layer and had a profound influence on the crack pattern and fracture damage in the layered structure materials.

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Analysis of Dynamic Multiple-Crack Propagation Problem by Element free-Galerkin Method (무요소법을 이용한 다수균열 함유부재의 동적균열전파해석에 관한 연구)

  • 이상호;김효진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.315-322
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    • 2000
  • In this study, an algorithm analyzing dynamic mutiple-crack propagation problem by Meshfree Method is proposed. A short description of Meshfree Method especially, Element-free Galerkin (EFG) method is presented and the elastodynamic fracture theory is summarized. A numerical implementation algorithm for dynamic analysis by Meshfree Method is discussed and an algorithm for mutlple-crack dynamic propagation is also presented. A couple of numerical examples of dynamic crack propagation problem illustrate the performance of the proposed technique. The accuracy of the algorithm is studied in the first example by being compared with experimental results, and the applicability and efficiency of the developed algorithm is studied in the second example.

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