• Title/Summary/Keyword: fracture energy rate

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Influence of sine material gradients on delamination in multilayered beams

  • Rizov, Victor I.
    • Coupled systems mechanics
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    • v.8 no.1
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    • pp.1-17
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    • 2019
  • The present paper deals with delamination fracture analyses of the multilayered functionally graded non-linear elastic Symmetric Split Beam (SSB) configurations. The material is functionally graded in both width and height directions in each layer. It is assumed that the material properties are distributed non-symmetrically with respect to the centroidal axes of the beam cross-section. Sine laws are used to describe the continuous variation of the material properties in the cross-sections of the layers. The delamination fracture is analyzed in terms of the strain energy release rate by considering the balance of the energy. A comparison with the J-integral is performed for verification. The solution derived is used for parametric analyses of the delamination fracture behavior of the multilayered functionally graded SSB in order to evaluate the effects of the sine gradients of the three material properties in the width and height directions of the layers and the location of the crack along the beam width on the strain energy release rate. The solution obtained is valid for two-dimensional functionally graded non-linear elastic SSB configurations which are made of an arbitrary number of lengthwise vertical layers. A delamination crack is located arbitrary between layers. Thus, the two crack arms have different widths. Besides, the layers have individual widths and material properties.

An Analysis for Delaminations Using Energy Release Rate in CFRP Laminates (에너지 해방률을 이용한 CFRP 적층복합재료의 층간분리 평가)

  • Gang, Gi-Won;Kim, Jeong-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.2115-2122
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    • 2000
  • The understanding of impact-induced delamination is important in safety and reliability of composite structure. In this study, a model for arrest toughness is proposed in consideration of fracture behavior of composite materials. Also, the probabilistic model is proposed to describe the variability of arrest toughness due to the nonhomogeneity of material. For these models, experiments were conducted on the Carbon/Epoxy composite plates with various thickness using the impact hammer. The elastic work factor used in J-Integral is applicable to the evaluation of energy release rate. The fracture behavior can be described by crack arrest concept and the arrest toughness is independent of the delamination size. Additionally, a probabilistic characteristics of arrest toughness is well described by the Weibull distribution function. A variation of arrest toughness increases with specimen thickness.

A Study on the Fracture Toughness of Glass-Carbon Hybrid Composites (유리-탄소 하이브리드 복합재료의 파괴인성에 관한 연구)

  • No, Ho-Seop;Go, Seong-Wi
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.28 no.3
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    • pp.295-305
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    • 1992
  • The critical strain energy release rate and the failure mechanisms of glass-carbon epoxy resin hybrid composites are investigated in the temperature range of the ambient temperature to 8$0^{\circ}C$. The direction of laminates and the volume fraction are [(+45, -45, 0, 0) sub(2) ] sub(s), 50%, respectively. The major failure mechanisms of these composites are studied using the scanning electron microscope for the fracture surface. Results are summarized as follows: 1) The critical strain energy release rate shows a maximum at ambient temperature and it tends to decrease as temperature goes up. 2) The critical strain energy release rate increases as the content of glass increases, and especially shows dramatic increase for the high glass fiber content specimens. 3) Major failure mechanisms can be classfied such as localized shear yielding, fiber-matrix debonding, matrix micro-cracking, and fiber pull-out and/or delamination.

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Effects of Stacking Sequence on the Application of the Single Specimen Technique to CLS Specimen (단일시편방법의 CLS 시편 적용시 적층성이 미치는 영향)

  • Lee, Gyeong-Yeop;Yang, Jun-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.11 s.170
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    • pp.1952-1959
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    • 1999
  • The work factor approach, so-called single specimen technique could be used to determine energy release rate from a single test record for unidirectional CLS specimen. In the present study, the work factor approach was extended to determine the mixed-mode fracture toughness of multi-directional graphite/epoxy laminated composites. Multi-directional CLS specimens were used for fracture tests. The stacking sequences used for the lap and the strap were $[90_2/0_2]_s/[0_4/90_4]_s$ and $[0/\pm45/0]_s/[0_2/\pm45_2/0_2]_2$, respectively. For both cases, the fracture toughness determined from the work factor approach was compared with that determined from the compliance method. It was found that both methods produced fracture toughness within a maximum 15% difference for each stacking sequence. The fractography analysis also showed that the fiber bridging occurred for$[0/\pm45/0]_s/[0_2/\pm45_2/0_2]_2$ case while it did not occur for $[90_2/0_2]_s/[0_4/90_4]_s$ case.

The Effects of the Initial Crack Length and Fiber Orientation on the Interlaminar Delamination of the CFRP/GFRP Hybrid Laminate (초기 균열길이 및 섬유방향이 CFRP/GFRP 하이브리드 적층재의 층간 파괴에 미치는 영향)

  • Kwon, Oh-Heon;Kwon, Woo-Deok;Kang, Ji-Woong
    • Journal of the Korean Society of Safety
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    • v.28 no.1
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    • pp.12-17
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    • 2013
  • Considering the wind power system and the rotor blades which are composed of much technology, the wind power blade would be the most dangerous part because it revolves at high speed and weighs about dozens of tons, if the accident happens. Therefore, the light weight composite materials have been replacing as substitutional materials. The object of this study is to examine the delamination and damage for CFRP/GFRP hybrid composite that is used for strength improvement of a wind power blade. The influence of the initial crack length and fiber orientation for the interlaminar delamination was exposed for the blade safety. Plain woven CFRP instead of GFRP was inserted into the layer of the box spar for improving the strength and blade life. DCB(Double Cantilever Beam) specimen was used for evaluating fracture toughness and damage evaluation of interlaminar delamination. The material used in the experiment is a commercial material known as CF 3327 EPC in plain woven carbon prepreg(Hankuk Carbon Co.) and UD glass fiber prepreg(Hyundai Fiber Co.). From the results, crack growth rate is not so different according to the variation of the initial crack length. Mode I interlamainar fracture toughness of fiber direction $0^{\circ}$ is higher than that of $45^{\circ}$. Interlaminar fracture has an effect on fiber direction and K decreased with lower value according to increasing initial crack length. Also energy release rate fracture toughness was evaluated because CFRP/GFRP hybrid composite with a different thickness is under the mixed mode loading condition. The interlaminar fracture was almost governed by mode I fracture even though the mixed mode.

Beam-Type Bend Specimen for Interlaminar Fracture Toughness of Laminated Composite under Mixed-Mode Defmrmations (보 형태의 굽힘시편을 이용한 적층복합재료의 혼합모우드 층간파괴인성 평가)

  • 윤성호;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.5
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    • pp.911-920
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    • 1989
  • It this study, beam-type bend specimen is used to evaluate the interlaminar fracture toughness of laminated composite under mixed-mode deformations. The specimen is loaded under three-point bending and hence produced mixed-mode deformations in the vicinity of the crack tip according to the variation of the thickness ratio on delamination plane. Total energy release rate is obtained by elementary beam theory considering the effect of shear deformation. The partitioning of total value into mode-I and mode-II components is also performed. The mixed-mode interlaminar fracture toughness is evaluated by experiments on specimens with several thickness ratios of delamination plane. As the part of delamination plane is thicker, the effect of shear deformation on total energy release rate is increased. Beam-type bend specimen men may be applied to obtain informations on the mixed-mode interlaminar fracture behavior of laminated composites.

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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The Evaluation of Fracture Toughness of SMC Composite Material and Carbon/Epoxy Composite Material (SMC 복합재료와 Carbon/Epoxy 복합재료의 파괴인성평가)

  • 최영근;이유태;이태순
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.25-32
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    • 1993
  • In composite materials, the fracture perpendicular to the fiber direction usually shows a non-linear behavior accompannying blunting and plastic deformation around the crack tip. In this study, the fracture thoughness in random short fiber SMC composite material and Carbon/Epoxy composite material is estimated by the A.M.(Area Method) and the G.L.M.(Generalized Locus Method) which can determine a stable total energy release rate(G$_T$) not only in highly elghly elastic material but also in highly non-linear materials.

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The Evaluation of Fracture Toughness on Mode I for Twill CFRP/GFRP Laminated Hybrid Composites (능직 CFRP/GFRP 적층하이브리드 복합재의 Mode I 파괴인성 평가)

  • Roh, Young Woo;Kang, Ji Woong
    • Journal of the Korean Society of Safety
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    • v.35 no.5
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    • pp.9-14
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    • 2020
  • In order to realize high strength and light weight for various industrial facilities and structural materials, various new materials are applied to product design. Among them, CFRP has excellent specific strength and non-rigidity, and the scope of use is expanding throughout the industry, such as mobility products and building materials. GFRP is cheaper than CFRP, and has excellent specific strength and non-rigidity, and has excellent heat resistance and sound insulation, so it has been adopted as a core material for flooring and interior flooring. CFRP of twill weave structure has better resistance to deformation of fiber than plain weave structure, so the outermost layer is applied as twill weave structure in product design. After fabrication with DCB specimens, Mode I fracture toughness was evaluated according to the crack length. As the crack length increases, the energy release rate and stress intensity factor values tended to decrease overall.

The Energy Criteria for Elastic-Plastic Fracture in Tough Paper (고인성 종이의 탄성-소성 파괴의 에너지 판단기준)

  • Park, Jong-Moon;Thorpe, James
    • Journal of the Korean Wood Science and Technology
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    • v.24 no.4
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    • pp.64-73
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    • 1996
  • 고인성 종이의 탄성-소성 파괴를 파괴역학을 이용하여 분석하였다. 탄성-소성 물질의 파괴에 있어서 균열이 언제 진행되기 시작하는지 이론적 판단 기준을 유도하고, mode I 파괴를 linear image strain analysis(LISA)로 관찰한 후, 파괴역학 변수들을 계산하였다. 크랙(crack)이 있는 물질에 외부하중이 작용할 때 변형율 에너지 발산 속도(strain energy release rate)가 그 물질이 견딜 수 있는 파괴저항(fracture resistance)에 도달하면 안정적인 파괴가 진행된다. 이를 이용하여 크랙의 초기 진행시 결점주위의 응력, 파괴저항, 크랙 진행거리, 기하인자(geometry factor) 등을 구하였다. 이 변수들은 종이의 파괴역학적 특성을 정량적으로 나타내므로 유용하게 활용될 수 있을 것이다.

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