• Title/Summary/Keyword: 에너지해방율

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Formulation of Tearing Energy for Fatigue Life Evaluation of Rubber Material (고무의 피로수명 평가를 위한 찢김에너지 정식화)

  • Kim, Heon-Young;Kim, Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.8 s.239
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    • pp.1132-1138
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    • 2005
  • Fatigue life of metal material can be predicted by the use of fracture theory and experimental database. Although prediction of fatigue life of rubber material uses the same way as metal, there are many reasons to make it almost impossible. One of the reasons is that there is not currently used fracture criteria for rubber material beacuse of non-standardization, various way of composition process of rubber and so on. Tearing energy is one of the fracture criteria which can be applied to a rubber. Even if tearing energy relaxes the restriction of rubber composition, it is also not currently used because of complication to apply in. Research material about failure process of rubber and tearing energy was reviewed to define the process of fatigue failure and the applicability of tearing energy in estimation of fatigue life for rubber. Also, 1file element formulation of tearing energy which can be used in FE analysis was developed.

A Study on the Unstable Crack Growth of Concrete (콘크리트의 불안정 균열성장에 관한 연구)

  • Ko, Young Zoo;Bae, Ju Seong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.3
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    • pp.29-36
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    • 1991
  • This experimental research evaluated the length of crack extension with the measured compliances as the mutual comparison factors instead of the method proposed in ASTM E561-80. And this research measured the R-curves with the application to the concept of the strain energy release rate that was formulated from the inelastic energy absorbed during the crack growth. With the interpretation of R-curves, this research obtained the starting point of the unstable crack growth, and compared the values of critical fracture toughness with each other, and then examined the effects of variations of the maximum size of coarse aggregate and the thickness of specimen on the values of the critical fracture toughness.

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A study on the Determination of Fractuye Parameters for Rubber Toughened Polymeric Materials Using Instrumented Charpy Impact Test (샤피충격시험기를 이용한 고무보강 폴리머재료의 파괴인자 결정에 관한연구)

  • Choi, Young-Sic;Park, Myung-Kyun;Bahk, S.M.
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.389-394
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    • 2001
  • The notched Charpy and Izod impact tests arc the most prevalent techniques used to characterize the effects of high impulse loads on ploymeric materials. An analysis method for rubber toughened PVC is suggested to evaluate critical strain energy release rates(Gc) from the Charpy impact energy measurements. An Instrumented Charpy impact tester was used to extract ancillary information concerning fracture properties in addition to total fracture properties and maximum critical loads. The stress intensity factor Kd was computed for varying amounts of rubber contents from the obtained maximum critical loads and also toughening effects were investigated as well.

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A Study on the Dynamic Stress Intensity Factor of Orthotropic Materials(II) A Study on the Stress Field, Displacement Field and Energy Release Rate in the Dynamic Mode III under Constant Crack Propagation Velocity (직교 이방성체의 동적 응력확대계수에 관한 연구 (II) 등속균열전파 속도하에서 동적모드 III 상태의 응력장, 변위장, 에너지해방률에 관한 연구)

  • 이광호;황재석;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.331-341
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    • 1993
  • The propagating crack problems under dynamic antiplane mode in orthotropic material is studied in this paper. To analyze the dynamic fracture problems by theoretical method or experimental method in orthotropic material, it is important to know the dynamic stress intensity factor in the vicinity of crack tip. Therefore the dynamic stress field and dynamic displacement field with dynamic stress intensity factor of orthotropic material in mode III were derived. When the crack propagation speed approachs to zero, the dynamic stress components and dynamic displacement components derived in this paper are identical to the those of static state. In addition, the relationships between dynamic stress intensity factor and dynamic energy release rate are determined by using the concept of crack closure energy with the dynamic stresses and dynamic displacements derived in this paper. Finally, the characteristics of crack propagation are studied with the properties of orthotropic material and crack speed. The variation of angle .alpha. between fiber direction and crack propagating direction and crack propagation speed fairly effect on stress component and displacement component in crack tip. The influence of crack propagation speed on the speed on the stress and displacement is greater in the case of .alpha.=90.deg. than in the case of .alpha.=0.deg. and the faster the crack propagation speed, the greater the stress value and displacement value.

Transient Response of a Crack in a Functionally Graded Piezoelectric Strip between Two Dissimilar Piezoelectric Strip (두 개의 서로 다른 압전재료층 사이의 기능경사압전재료 접합층 내부 균열에 대한 과도응답 해석)

  • Shin, Jeong Woo;Lee, Young-Shin;Kim, Sung Joon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.10a
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    • pp.206-213
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    • 2013
  • Transient response of a crack in a functionally graded piezoelectric material (FGPM) interface layer between two dissimilar homogeneous piezoelectric layers under anti-plane shear is analyzed using integral transform approaches. The properties of the FGPM layer vary continuously along the thickness. Laplace and Fourier transforms are used to reduce the problem to two sets of dual integral equations, which are then expressed to the Fredholm integral equations of the second kind. Numerical values on the dynamic energy release rate (DERR) are presented for the FGPM to show the effects on electric loading, gradient of the material properties, and thickness of the layers. Computed results yield following conclusions: (a) the DERR increases with the increase of the gradient of the material properties of the FGPM layer; (b) certain direction and magnitude of the electric impact loading impedes crack extension; (c) increase of the thickness of the FGPM layer and the homogeneous piezoelectric layer which has larger material properties than those of the crack plane are beneficial to increase of the resistance of transient fracture of the FGPM layer.

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Application of Fracture Mechanics to Design of Machine and Structure Element (파괴역학을 이용한 기계요소 및 구조물 설계방안 (2))

  • Lee, Eok-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.4 no.1
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    • pp.27-32
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    • 1987
  • 제2장에서 선형타성체에 대한 파괴역학의 일반적인 개념을 약술하였다. 즉 응력확대계수(K) 와 응력집중계수($1_{4}$)의 차이, 에너지 해방율(1$\sub$y)및 $_{4}$와 K의 관계를 이론적으로 살펴보았다. 물론 식(2-35) 및 (2-36) 등은 균열전파 경로가 직선이 아닌 경우에 적용한다는 것은 무리가 있으나 전체적인 이해를 돕기위해서 앞에서와 같이 기술하였다. 세가지 경우의 응력확대 계수 $_{4}$, $_{4}$$_{4}$는 하중과 균열의 크기 및 시편의 크기 또는 균열이나 결함을 포함 하고 있는 기계요소 및 구조물의 기하학적인 형상에 관련이 되어져서 결정이 된다.

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Study on Fracture at Material under Dynamic Load (동적 하중을 받는 재료에서의 파단에 관한 연구)

  • Cho, Jae-Ung;Han, Moon-Sik
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.2
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    • pp.16-22
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    • 2008
  • This study was analyzed dynamically by finite element method about the results of experiments which materials were applied by dynamic load. And they were compared with each other as the simulation data applied onto dynamic impact velocities of 6.4, 16.7 and 18.47m/s. The crack energy release rate, von-Mises stress and the displacement according to the load applied by block were calculated numerically by computer. As the numerical simulation data of specimen analyzed in this study approached the experimental data, the inspection of this specimen model suggested in this paper could be reasonable for the numerical simulation.

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Impact Behavior at Composite Material of Aluminium Double Cantilever Beam with Two Kinds of Materials (이종재료의 알루미늄 이중 외팔보 복합재의 충격 거동)

  • Cho, Jae-Ung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.3
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    • pp.421-426
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    • 2007
  • This study was analyzed dynamically by finite element method about the results of experiments which the double cantilever beam specimens with two kinds of materials were applied by impact load. And they were compared with each other as the simulation data applied onto impact velocities of 6.4 and 18.47 m/s. The crack energy release rate, force and displacement of block were calculated numerically by computer. As the numerical simulation data of specimen analyzed in this study approached the experimental data, the inspection of this specimen model suggested in this paper could be reasonable for the numerical simulation.

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Effects of Crack Velocity on Fracture Properties of Modified S-FPZ Model (수정 특이-파괴진행대이론의 파괴특성에 대한 균열속도의 영향)

  • Yon Jung-Heum
    • Journal of the Korea Concrete Institute
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    • v.16 no.4 s.82
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    • pp.511-520
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    • 2004
  • The fracture energy evaluated from the previous experimental results can be simulated by using the modified singular fracture process zone (S-FPZ) model. The fracture model has two fracture properties of strain energy release rate for crack extension and crack close stress versus crack width relationship $f_{ccs}$ ( w ) for fracture process zone (FPZ) development. The $f_{ccs}$( w ) relationship is not sensitive to specimen geometry and crack velocity. The fracture energy rate in the FPZ increases linearly with crack extension until the FPZ is fully developed. The fracture criterion of the strain energy release rate depends on specimen geometry and crack velocity as a function of crack extension. The variation of strain energy release rate with crack extension can explain theoretically the micro-cracking, micro-crack localization and full development of the FPZ in concrete.

The Notched Strength and Fracture Criterion in Plain Woven Glass/Epoxy Composites With a Crack (노치부를 가진 Glass/Epoxy 복합재료의 노치강도 평가와 불안정 파괴조건)

  • 김정규;김도식
    • Journal of Ocean Engineering and Technology
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    • v.7 no.2
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    • pp.57-67
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    • 1993
  • The fracture behavior of plain woven glass/epoxy composite plates with a crack is investigated under static tensile loading. It is shown in this paper that the characteristic length associated with the point stress criterion depends on the crack length. To predict the not ched tensile strength, the point stress criterion proposed by Whitney and Nuismer are modified. An excellent agreement is found between the experimental results and the analytical prediction of the modified point stress criterion. The condition of unstable crack growth in the presence of a per-existing flaw(machined notch) is examined by means of the maximum stress intensity factor $K_max$ using maximumload P$_max$. The values of $K_max$ evaluated from energy release rate G$_max$(the compliance me thod) indicate a wide difference. Therefore in regard to anisotropy and heterogeneity of the composite materials studied, the modified shape correction factor f(a/W) is obtained. $K_max$evaluated by the compliance method a little or insignificantly depends on the initial crack length a, the specimen thickness B, the crack angle .theta. and the specimen geometry.

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