• 제목/요약/키워드: Virtual Crack Closure Technique

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일방향 복합재료 single-lap 접합 조인트의 파괴 특성 (Fracture Characteristics Unidirectional Composite Single-Lap Bonded Joints)

  • 김광수;유재석;장영순;이영무
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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    • pp.232-236
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    • 2004
  • The fracture characteristics of unidirectional composite single-lap bonded joints were investigated experimentally and numerically. The effects of bonding method, surface roughness, bondline thickness and the existence of fillet on the failure characteristics and strength of bonded single-lap joints were evaluated experimentally. The failure process, failure mode and the behavior of load-displacement curve was apparently different according to bonding method. The failure load of the specimen co-cured without adhesive was definitely superior to other types of specimens but the specimens co-cured with adhesive film had a less strength than secondary bonded specimens. In the secondary bonded specimens, the lower value of surface roughness and existence of fillet improved the strength of specimens. The strain energy release rates calculated by geometric nonlinear finite element analyses and Virtual Crack Closure Technique for the secondary bonded specimens considering the three types of initial cracks - comer crack, edge crack and delamination crack - were consistent with the test results.

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Thermoelastic effect on inter-laminar embedded delamination characteristics in Spar Wingskin Joints made with laminated FRP composites

  • Mishra, P.K.;Pradhan, A.K.;Pandit, M.K.;Panda, S.K.
    • Steel and Composite Structures
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    • 제35권3호
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    • pp.439-447
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    • 2020
  • This paper presents two sets of full three-dimensional thermoelastic finite element analyses of superimposed thermo-mechanically loaded Spar Wingskin Joints made with laminated Graphite Fiber Reinforced Plastic composites. The study emphasizes the influence of residual thermal stresses and material anisotropy on the inter-laminar delamination behavior of the joint structure. The delamination has been pre-embedded at the most likely location, i.e., in resin layer between the top and next ply of the fiber reinforced plastic laminated wingskin and near the spar overlap end. Multi-Point Constraint finite elements have been made use of at the vicinity of the delamination fronts. This helps in simulating the growth of the embedded delamination at both ends. The inter-laminar thermoelastic peel and shear stresses responsible for causing delamination damage due to a combined thermal and a static loading have been evaluated. Strain energy release rate components corresponding to the Mode I (opening), Mode II (sliding) and Mode III (tearing) of delamination are determined using the principle of Virtual Crack Closure Technique. These are seen to be different and non-self-similar at the two fronts of the embedded delamination. Residual stresses developed due to the thermoelastic anisotropy of the laminae are found to strongly influence the delamination onset and propagation characteristics, which have been reflected by the asymmetries in the nature of energy release rate plots and their significant variation along the delamination front.

Strain energy release rates in the curved spar wingskin joints with pre-embedded delaminations

  • P.K. Mishra;A.K. Pradhan;M.K. Pandit ;S.K. Panda
    • Structural Engineering and Mechanics
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    • 제87권1호
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    • pp.47-56
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    • 2023
  • Any pre-existed delamination defect present during manufacturing or induce during service loading conditions in the wingskin adherend invariably shows a greater loss of structural integrity of the spar wingskin joint (SWJ). In the present study, inter-laminar delamination propagation at the critical location of the SWJ has been carried out using contact and multi-point constraint finite elements available with commercial FE software (ANSYS APDL). Strain energy release rates (SERR) based on virtual crack closure technique have been computed for evaluation of the opening (Mode-I), sliding (Mode-II) and cross sliding (Mode-III) modes of delamination by sequential release of multi point constraint elements. The variations of different modes of SERR are observed to be significant by considering varied delamination lengths, material properties of adherends and radius of curvature of the SWJ panel. The SERR rates are seen to be much different at the two pre-embedded delamination ends. This shows dissimilar delamination propagation rates. The maximum is seen to occur in the delamination front in the unstiffened region of the wingskin. The curvature geometry and material anisotropy of SWJ adherends significantly influences the SERR values. Increase in the SERR values are observed with decrease in the radius of curvature of wingskin panel, keeping its width unchanged. SWJs made with flat FRP composite adherends have superior resistance to delamination damage propagation than curved composite laminated SWJ panels. SWJ made with Boron/Epoxy (B/E) material shows greater resistance to the delamination propagation.

복합재료 Single-Lap 본딩 조인트의 파괴 특성에 대한 실험 및 수치해석 연구 (Testing and Numerical Analysis on the Fracture Characteristics of Composite Adhesive Bonded Single-Lap Joints)

  • 김광수;박재성;장영순;이영무
    • Composites Research
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    • 제16권5호
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    • pp.45-53
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    • 2003
  • 본 논문에서는 이차 본딩으로 접착된 복합재료-복합재료 Single-Lap 조인트 시편에 대해 인장 시험 및 수치해석을 통해 그 파손 특성을 조사하였다. 시편시험에서는 시험 중에 CCD 카메라 및 AE 센서를 이용해 초기 균열의 발생 및 진전양상에 대한 시험적인 관찰을 수행하였다. 시편에 대해 기하비선형 유한요소해석 및 VCCT(Virtual Crack Closure Technique)기법을 이용해 시편의 거동 및 변형율에너지방출률을 계산하고 세 가지 관찰된 초기 균열 모드에 대해 파손강도를 계산하였다. 인장시험에서 초기 균열은 모서리 계면 균열, 측면 계면 균열 및 층간 분리 균열의 세 가지 형태로 최종 파손의 60∼90% 하중에서 발생하였다. 주된 파손 모드는 접착제 계면 파손(adhesive failure) 및 적층판의 첫 번째 및 두 번째의 층간 분리 파손이었다. 두꺼운 접착제 층을 갖는 시편들은 초기균열이 낮은 하중에서 발생하였지만 균열진전에 대한 저항성 및 파손하중은 높게 나타났다. 층간분리파손은 주로 두꺼운 접착제의 경우에 발생하였다. 세 가지 초기 균열 모드에 대해 변형률에너지방출률은 Mode I의 G값이 Mode II의 G값보다 크게 계산되었다. Mode I 및 전체 G값은 측면 계면 균열, 모서리 계면 균열, 층간분리 균열의 순서로 크게 계산되었다.

Progressive fracture analysis of concrete using finite elements with embedded displacement discontinuity

  • Song, Ha-Won;Shim, Byul;Woo, Seung-Min;Koo, Ja-Choon
    • Structural Engineering and Mechanics
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    • 제11권6호
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    • pp.591-604
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    • 2001
  • In this paper, a finite element with embedded displacement discontinuity which eliminates the need for remeshing of elements in the discrete crack approach is applied for the progressive fracture analysis of concrete structures. A finite element formulation is implemented with the extension of the principle of virtual work to a continuum which contains internal displacement discontinuity. By introducing a discontinuous displacement shape function into the finite element formulation, the displacement discontinuity is obtained within an element. By applying either a nonlinear or an idealized linear softening curve representing the fracture process zone (FPZ) of concrete as a constitutive equation to the displacement discontinuity, progressive fracture analysis of concrete structures is performed. In this analysis, localized progressive fracture simultaneous with crack closure in concrete structures under mixed mode loading is simulated by adopting the unloading path in the softening curve. Several examples demonstrate the capability of the analytical technique for the progressive fracture analysis of concrete structures.

Improvement of Out-of-Plane Impact Damage Resistance of CFRP Due to Through-the-Thickness Stitching

  • Yoshimura, Akinori;Nakao, Tomoaki;Takeda, Nobuo
    • Advanced Composite Materials
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    • 제18권2호
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    • pp.121-134
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    • 2009
  • The present study investigated, both experimentally and numerically, the improvement of low-velocity impact damage resistance of carbon fiber reinforced plastic (CFRP) laminates due to through-the-thickness stitching. First, we conducted drop-weight impact tests for stitched and unstitched laminates. The results of damage inspection confirmed that stitching did improve the impact damage resistance, and revealed that the improvement effect became greater as the impact energy increased. Moreover, the stitching affected the through-the-thickness damage distribution. Next, we performed FEM analysis and calculated the energy release rate of the delamination crack using the virtual crack closure technique (VCCT). The numerical results revealed that the stitching affected the through-the-thickness damage distribution because the stitch threads had a marked effect on decreasing both the modes I and II energy release rate around the bottom of the laminate. Comparison of the results for models that contained delaminations of various sizes revealed that the energy release rate became lower as delamination size increased; therefore the stitching improved the impact resistance more effectively when the impact energy was higher.

복합재 적층판의 자유단 층간분리의 평가 (Evaluation of Free-Edge Delamination in Composite Laminates)

  • 김인권;공창덕;방조혁
    • Composites Research
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    • 제14권1호
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    • pp.8-14
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    • 2001
  • 복합재 적층판의 자유단 층간분리의 모드별 변형률 에너지 해방률을 구하는 간이 계산법을 제안하였다. 층간응력은 층간에서의 평형식으로부터 층간의멘트와 층간전단력으로 평가하였다. 적층판 자유단 층간분리의 변형은 일반화된 준3차원 고전적층이론에 의하여 계산하였다. 이 간이 계산법은 변형균 에너지 해방률의 세성분을 구하는 간편한 식으로 나타내었다 복합재 적층판이 일축인장을 받는 경우에 대하여 적층판 중앙면에 대칭과 비대칭인 층간분리가 발생한 경우에 대하여 해석을 행하였다. 해석결과는 가상분리진전법에 의한 유한요소해석결과와 잘 일치하였다.

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적층복합재의 자유단 박리에 대한 모드별 스트레인 에너지해방률의 간이계산법 (A Simplified Method for Determining Modal Strain Energy Release Rate of Free-Edge Delaminations in Laminated Composite)

  • 김택현;오택열;김인권
    • 대한기계학회논문집A
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    • 제21권3호
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    • pp.423-429
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    • 1997
  • A simplified method for determining the mode components of the strain energy release rate of free-edge delaminations in laminated composite is proposed. The interlaminar stresses are evaluated as an interface moment and interface shear forces that are obtained from the equilibrium equations at the interface between the adjacent layers. Deformation of an edge-delaminated laminate is calculated by using a generalized quasi-three dimensional classical laminated plate theory developed by the authors. The analysis provides closed-form expression for the three components of the strain energy release rate. Comparison of results with a finite element solution using the virtual crack closure technique shows good agreement. In the present study, laminated composite with stacking sequences of [30/-30/90]$_{s}$ were examined. The simple nature of the method makes it suitable for primary design analysis for the delaminations of laminated composite.e.