• Title/Summary/Keyword: Critical Energy Release Rate

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Notched Strength and Fracture Criterion of Glass/Epoxy Plain Woven Composites Containing Circular Holes (원공을 가진 Glass/Epoxy 복합재료의 노치강도 및 파괴조건)

  • 김정규;김도식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.7
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    • pp.1285-1293
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    • 1992
  • The fracture behavior of glass/epoxy plain woven composite plates containing circular holes is experimentally investigated to examine the effects of hole size and specimen width on notched tensile strength. It is shown in this paper that the characteristic length according to the point stress criterion depends on the hole size and specimen width. For predicting the notched tensile strength, a modified failure criterion is developed. An excellent agreement is found between the experimental results and the analytical prediction of modified failure criterion. The notched strength and the characteristic length have an increase and decrease relations. When the unstable fracture occured, the critical crack length equivalent for the damage zone size at the edge of hole is about twice the characteristic length. The critical energy release rate G$_{c}$ is independent of hole size(0.03 .leq. 2R/W .leq. 0.5) under the same specimen width. However G$_{c}$ increases with an increase in specimen width which can be explained by stress relaxation due to the notch insensitivity.ity.

A Study on the Determination of Fracture Parameters for Rubber Toughened Polymeric Materials Using on Instrumented Charpy Impact Test (계장화 샤르피충격시험기를 이용한 고무보강 폴리머재료의 파괴인자 결정에 관한연구)

  • Park, Myeong-Gyun;Choe, Yeong-Sik;Park, Se-Man;Yang, Jin-Seung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.8
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    • pp.1520-1526
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    • 2002
  • The Charpy and Izod impact tests are 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 dynamic strain energy release rates(G$\_$c/) from the Charpy impact energy measurements. An instrumented Charpy impact tester was used to extract ancillary information concerning fracture parameters in addition to total fracture energies and maximum critical loads. The dynamic stress intensity factor Kid was computed for varying amounts of rubber contents from the obtained maximum critical loads and also toughening effects were investigated as well.

Analytical Study on Interface Debonding of Reinforced Concrete Beams Strengthened with Carbon Fiber Sheet(CFS) (탄소섬유쉬트로 보강된 철근콘크리트보의 계면박리에 대한 해석적 연구)

  • Sim, Jong-Sung;Bae, In-Hwan
    • Magazine of the Korea Concrete Institute
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    • v.11 no.2
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    • pp.177-186
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    • 1999
  • The purpose of this study is to analyze the interface debonding of RC beams strengthened by carbon fiber sheet(CFS). The behavior of damaged RC beams strengthened with CFS is analytically investigated next using linear elastic fracture mechanics(LEFM) approach and the finite element method. The study includes an investigation of the separation mode by interface fracture of the strengthening materials due to the interfacial shear and normal stresses. The numerical method is presented to obtain the value of interfacial fracture parameter such as the strain energy release rate. Based on the results of this study, it is found that the critical case occurs when the interfacial cracks occur within a short region of the flexural crack. The CFS strengthening has not an adequate factor of safety against interfacial debonding of CFS. Furthermore, for the thicknesses of the adhesive studied[1mm~3mm], it is no noticeable effect on the strain energy release rate.

A Study on Release Characteristics of Lake Sediments under Oxic and Anoxic Conditions (호수 퇴적물의 호기 및 혐기조건에서의 용출 특성에 대한 연구)

  • Yoon, Mi-Hae;Hyun, Jun-Taek;Huh, Nam-Soo;Kwon, Sung-Hyun;Cho, Dae-Chul
    • Journal of Korean Society of Environmental Engineers
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    • v.29 no.9
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    • pp.1003-1012
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    • 2007
  • In this study, we analyzed the release differences for some critical pollution compounds according to the surrounding conditions in order to predict water quality due to the sedimental releases and the release characteristics at different sedimental locations in Lake Leewon, in Tae-An area. COD, nitrogens and phosphates were analyzed using the standard methods for water quality, based on high chloride ion concentration(greater than 2,000 ppm). For COD, the release rate increased in the anoxic basin but almost the same in the oxic basin. For $NH_3$-N, the release rate decreased in the oxic basin as you go A through C point meanwhile, for $NO_3$-N and T-N, the tendency was reversed because of nitrification of them. In the anoxic basin, the release rates of $NH_3$-N and $NO_3$-N went up with A through C path. However, the release rate of T-N was found to decrease. Also, for $PO_4$-P and T-P, the release rates in the oxic basin were lowest at B point mainly because the phosphates were at less released in the highly $O_2$ concentrated environment. In the anoxic reactor, $PO_4$-P was released similarly regardless of the sampling points. In summary, the release rates in the oxic reactor were greater than those in the anoxic reactor for COD and $NO_3$-N. For the other components, the anoxic basin generated the higher release rates.

Dynamic Fracture Properties of Nylon Thermoplastic Material Depending on Notch Angle with Charpy Impact Machine and Finite Element Method (유한요소법과 샤피충격시험기에 의한 노치각도에 따른 나일론 열가소성 플라스틱 재료의 파괴특성)

  • Park, Myung-Kyun;Lee, Jung-Won;Kim, Tae-Ok
    • Journal of the Korean Institute of Gas
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    • v.12 no.1
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    • pp.1-6
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    • 2008
  • The notched Charpy impact test is one of the most prevalent techniques used to characterize the effect of high impulse loads on polymeric materials. In this study, a method of analysis in nylon plastic materials is suggested to evaluate the critical strain energy release rate for variation of notch angles from the Charpy impact energy measurement. Instrumented Charpy impact tester was used to extract ancillary information concerning fracture parameters in addition to total fracture properties and maximum critical load. The dynamic stress intensity factor of nylon plastic material was calculated for the ASTM Charpy specimen from the obtained maximum critical load. Also, the finite element model was developed to figure out the stress distributions for Charpy specimen with different notch angles subject to 3 point bending load which is equivalent to the load applied in the experiment.

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A Study on the Coating Cracking on a Substrate in Bending I : Theory (굽힘모드하에서의 코팅크랙킹의 분석 I : 이론)

  • Sung-Ryong Kim;John A. Nairn
    • Composites Research
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    • v.13 no.3
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    • pp.38-47
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    • 2000
  • The coating cracking on a substrate system was analyzed using a fracture mechanics approach. Multiple cracking in the bending configuration was analyzed using a variational mechanics approach to fracture mechanics of coatin $g_strate system. The strain energy release rate on bending geometry developed permits the prediction of crack growth in the coating layer on a substrate. Also, it can be used appropriately to the characterization of multiple cracking of coating. The obtained critical strain energy release rate (in-situ fracture toughness) will be a material property of coating and it will provide a better insight into coating cracking.ng.

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Design and Strength Evaluation of an Anodically Bonded Pressurized Cavity Array for Wafer-Level MEMS Packaging (기판단위 밀봉 패키징을 위한 내압 동공열의 설계 및 강도 평가)

  • Gang, Tae-Gu;Jo, Yeong-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.1
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    • pp.11-15
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    • 2001
  • We present the design and strength evaluation of an anodically bonded pressurized cavity array, based on the energy release rate measured from the anodically bonded plates of two dissimilar materials. From a theoretical analysis, a simple fracture mechanics model of the pressurized cavity array has been developed. The energy release rate (ERR) of the bonded cavity with an infinite bonding length has been derived in terms of cavity pressure, cavity size, bonding length, plate size and material properties. The ERR with a finite bonding length has been evaluated from the finite element analysis performed for varying cavity and plate sizes. It is found that, for an inter-cavity bonding length greater than the half of the cavity length, the bonding strength of cavity array approaches to that of the infinite plate. For a shorter bonding length, however, the bonding strength of the cavity array is monotonically decreased with the ratio of the bonding length to the cavity length. The critical ERR of 6.21J/㎡ has been measured from anodically bonded silicon-glass plates. A set of critical pressure curves has been generated for varying cavity array sizes, and a design method of the pressurized cavity array has been developed for the failure-free wafer-level packaging of MEMS devices.

The Epoxy-metal Interphase and Its Incidence on Practical Adhesion

  • Roche, Alain Andre;Aufray, Maelenn
    • Journal of Adhesion and Interface
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    • v.4 no.2
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    • pp.1-9
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    • 2003
  • Epoxy-amine liquid prepolymers are extensively applied onto metallic substrates and cured to obtain painted materials or bonded joint structures. Overall performances of such systems depend on the created interphase between the organic layer and the substrate. When epoxy-amine liquid mixtures are applied onto more or less hydrated metallic oxide layer, concomitant amine chemical sorption and hydroxide dissolution appear lending to the chelate formation. As soon as the chelate concentration is higher than the solubility product, these species crystallize as sharp needles. Moreover, intrinsic and thermal residual stresses are developed within painted or bonded systems. When residual stresses are higher than the organic layer/substrate adhesion, buckling, blistering, debonding may occur leading to a catastrophic drop of system performances. Practical adhesion can be evaluated with either ultimate parameters (Fmax or Dmax) or the critical strain energy release rate, using the three point flexure test (ISO 14679-1997). We observe that, for the same system, the ultimate load decreases while residual stresses increase when the liquid/solid time increases. Ultimate loads and residual stresses depend on the metallic surface treatment. For these systems, the critical strain energy release rate which takes into account the residual stress profile and the Young's modulus gradient remains quite constant whatever the metallic surface treatment was. These variations will be discussed and correlate to the formation mechanisms of the interphase.

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Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Out-of-Plane Deformation (면외변형하의 이방성 띠판에 대한 동적계면균열)

  • Park, Jae-Wan;Choe, Seong-Ryeol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.6
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    • pp.949-958
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    • 2001
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strips under out-of-plane clamped displacements is analyzed. Using Fourier integral transform the problem is formulated and the Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. Using the near tip fields of stresses and displacements, the dynamic energy release rate is also obtained as a form of the stress intensiy factor.

A study of mixed-mode interlaminar fracture toughness of graphite/epoxy composite (炭素纖維强化 複合材料의 혼합모우드 層間破壞靭性値에 대한 硏究)

  • 윤성호;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.2
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    • pp.198-207
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    • 1986
  • This study investigates interlaminar fracture characteristics of Graphite/Epoxy composite (HFG Graphite/Epoxy) under mode I (opening mode), mode II (sliding mode) and mixed mode loading conditions. The effects on interlaminar fracture toughness due to different fiber orientations on the crack surface are also investigated. The antisymmetric test fixture proposed by M. Arcan is used for this test. Both critical stress intensity foctors and critical energy release rates were determined and several mixed mode fracture criteria were compared to the experimental data. Also fracture surfaces were investigaed to obtain informations on the fracture behaviors of Graphite/Epoxy composite by means of a scanning electron microscope(SEM).