• Title/Summary/Keyword: crack criterion factor

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V-notched elements under mode II loading conditions

  • Sapora, Alberto;Cornetti, Pietro;Carpinteri, Alberto
    • Structural Engineering and Mechanics
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    • v.49 no.4
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    • pp.499-508
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    • 2014
  • We apply the Finite Fracture Mechanics criterion to address the problem of a V-notched structure subjected to mode II loading, i.e., we provide a way to determine the direction and the load at which a crack propagates from the notch tip and express the critical conditions in terms of the generalized stress intensity factor. Weight functions for V-notch emanated cracks available in the literature allow us to implement the fracture criterion proposed in an almost completely analytical manner: the determination of the critical load and the direction of crack growth is reduced to a stationary point problem. A comparison with experimental data presented in the Literature concludes the paper.

Crack Propagation in a Piezoelectric Layer Bonded between Two Orthotropic Layers (직교 이방성 탄성체에 접합된 압전 재료의 균열 전파 거동)

  • Kim, Chuel-Gon;Kwon, Soon-Man;Lee, Kang-Yang
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.22-26
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    • 2001
  • In this paper, we examine the steady state dynamic electromechanical behavior of an eccentric Yoffe crack in a piezoelectric ceramic layer bonded between two orthotropic elastic layers under the combined anti-plane mechanical shear and in-plane electrical loadings. We adopted permeable crack face condition. Numerical values on the dynamic energy release rate are obtained. The initial crack propagation orientation for PZT-5H piezoceramic is also predicted by maximum energy release rate criterion.

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A Study on the Crack Growth Behavior and Fracture Criterion of Glass/Epoxy Composites (Glass/Epoxy 복합재료의 파괴조건 및 균열진전거동)

  • 김정규;김도식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.9
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    • pp.1681-1690
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    • 1992
  • The effects of the stress ratio and the fiber orientation(0.deg./90.deg. and .+-.45.deg.) to the load direction on the fracture behavior of the glass/epoxy plain woven composites were studied. The tests were carried out using compact tension specimens under both static and fatigue loading. The values of $k_{a}$ obtained from the energy release rate are independent of notch depth(a/w=0.2~0.6) for the 0.deg./90.deg. specimens, but decreases with an increase in a/w for the .+-.45.deg. specimens. And $k_{q}$ has higher values than $k_{ASTM}$ has been evaluated by the ASTM E399 test procedure. It is shown in the relation between fatigue crack growth rate da/dN and stress intensity factor range .DELTA.K using modified shape correction factor that da/dN decreases with a decrease in stress ratio and is lower for .+-..deg. specimens than for 0.deg./90.deg. These phenomena can be explained by the crack deflection to the load direction.n.n.

Effect of hydraulic distribution on the stability of a plane slide rock slope under the nonlinear Barton-Bandis failure criterion

  • Zhao, Lian-Heng;Cao, Jingyuan;Zhang, Yingbin;Luo, Qiang
    • Geomechanics and Engineering
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    • v.8 no.3
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    • pp.391-414
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    • 2015
  • In this paper, stabilities of a plane slide rock slope under different hydraulic distributions were studied based on the nonlinear Barton-Bandis (B-B) failure criterion. The influence of various parameters on the stability of rock slopes was analyzed. Parametric analysis indicated that studying the factor of safety (FS) of planar slide rock slopes using the B-B failure criterion is both simple and effective and that the effects of the basic friction angle of the joint (${\varphi}_b$), the joint roughness coefficient (JRC), and the joint compressive strength (JCS) on the FS of a planar slide rock slope are significant. Qualitatively, the influence of the JCS on the FS of a slope is small, whereas the influences of the ${\varphi}_b$ and the JRC are significant. The FS of the rock slope decreases as the water in a tension crack becomes deeper. This trend is more significant when the flow outlet is blocked, a situation that is particularly prevalent in regions with permafrost or seasonal frozen soil. Finally, the work is extended to study the reliability of the slope against plane failure according to the uncertainty from physical and mechanics parameters.

Steady State Crack Propagation Behavior in a Piezoelectric Strip Bonded to Elastic Materials (탄성체에 접합된 압전 스트립에서의 균열 전파 거동)

  • Gwon, Sun-Man;Choe, Hyo-Seung;Lee, Gang-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.2
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    • pp.283-290
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    • 2002
  • In this paper, we consider the dynamic electromechanical behavior of an eccentric Yoffe permeable crack in a piezoelectric ceramic strip sandwiched between two elastic orthotropic materials under the combined anti-plane mechanical shear and in-plane electrical loadings. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. The initial crack propagation orientation for PZT-5H piezoceramics is predicted by maximum energy release rate criterion.

Crack Propagation Behavior in a Piezoelectric Strip Bonded to Elastic Materials (탄성체에 접합된 압전 스트립에서의 균열 전파 거동)

  • Kwon, Soon-Man;Choi, Hyo-Seung;Lee, Kang-Yong
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.304-309
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    • 2001
  • In this paper, we consider the dynamic electromechanical behavior of an eccentric Yoffe permeable crack in a piezoelectric ceramic strip sandwiched between two elastic materials under the combined anti-plane mechanical shear and in-plane electrical loadings. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. The initial crack propagation orientation for PZT-5H piezoceramics is predicted by maximum energy release rate criterion.

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Fracture Characteristics of Concrete at Early Ages (초기재령 콘크리트의 파괴 특성)

  • Lee, Yun;Kim, Jin-Keun
    • Journal of the Korea Concrete Institute
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    • v.14 no.1
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    • pp.58-66
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    • 2002
  • The objective of this study is to examine the fracture characteristics of concrete at early ages such as critical stress intensity factor, critical crack-tip opening displacement, fracture energy, and bilinear softening curve based on the concepts of the effective-elastic crack model and the cohesive crack model. A wedge splitting test for Mode I was performed on cubic wedge specimens with a notch at the edge. By taking various strengths and ages, load-crack mouth opening displacement curves were obtained, and the results were analyzed by linear elastic fracture mechanics and the finite element method. The results from the test and analysis showed that critical stress intensity factor and fracture energy increased, and critical crack-tip opening displacement decreased with concrete ages from 1 day to 28 days. By numerical analysis four parameters of bilinear softening curve from 1 day to 28 days were obtained. The obtained fracture parameters and bilinear softening curves at early ages may be used as a fracture criterion and an input data for finite element analysis of concrete at early ages.

Estimates of Partial Safety Factors of Circumferential Through-Wall Cracked Pipes Based on Elastic-Plastic Crack Initiation Criterion (탄소성 균열개시조건에 대한 원주방향 관통균열 배관의 부분안전계수 계산)

  • Lee, Jae-Bin;Huh, Nam-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.11
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    • pp.1257-1264
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    • 2014
  • Efforts are presently underway for developing an optimal design methodology for GEN-IV nuclear reactors based on target failure probabilities. A typical example is the system-based code, in which the results are represented in the form of partial safety factors (PSFs). Thus, a PSF is one of the crucial elements in either component design or integrity assessment based on target failure probabilities during the operation period. In the present study, a procedure for calculating the PSF of a circumferential through-wall cracked pipe based on the elastic-plastic crack initiation criterion is established, in which the importance of each input variable is assessed. Elastic-plastic J-integrals are calculated using the GE/EPRI and reference stress methods, and the PSF values are calculated using both first- and second-order reliability methods. Moreover, the effect of statistical distributions of assessment variables on the PSF is also evaluated.

Damage zone induced by quasi-static gas pressure during blasting (준정적인 발파 가스압에 의한 암반의 손상 영역 예측)

  • Sim, Young-Jong;Cho, Gye-Chun;Kim, Hong-Taek
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.1409-1416
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    • 2010
  • It is essential to predict a blasting-induced excavation damage zone (EDZ) beyond the proposed excavation line of a tunnel because the unwanted damage area requires extra support system for tunnel safety. Complicated blasting process which may hinder a proper characterization of the damage zone can be effectively represented by two loading mechanisms. The one is a dynamic impulsive load generating stress waves outwards immediately after detonation. The other is a gas pressure that remains for a relatively long time. Since the gas pressure reopens up the arrested cracks and continues to extend some cracks, it contributes to the final formation of EDZ induced by blasting. This paper presents the simple method to evaluate EDZ induced by gas pressure during blasting in rock. The EDZ is characterized by analyzing crack propagation from the blasthole. To do this, a model of the blasthole with a number of radial cracks of equal length in an infinite elastic plane is considered. In this model, the crack propagation is simulated by using three conditions, the crack propagation criterion, the mass conservation of the gas, and the adiabatic condition. As a result, the stress intensity factor of the crack generally decreases as crack propagates from the blasthole so that the length of the crack is determined. In addition, the effect of rock properties, initial number of cracks, and the adiabatic exponent are investigated.

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Fracture of rock affected by chemical erosion environment

  • Gao, W.;Ge, M.M.
    • Geomechanics and Engineering
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    • v.11 no.3
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    • pp.373-383
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    • 2016
  • As one natural material, the physical and mechanical properties of rock will be affected very largely by chemical erosion environment. Under chemical environment, the strength of rock will be reduced. Considering the effect of the chemical erosion, fracture factor of rock is reduced. The damage variable is applied to express the change of fracture stress. Therefore, the fracture criterion of rock under chemical environment is constructed. By one experiment of rock fracture under chemical erosion environment, the proposed fracture criterion is verified. The results show that, the fracture path by theory is agree with the testing one well.