• 제목/요약/키워드: Mixed-mode Loading

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Synthesis of a Novel Nitrogen-Phosphorus Flame Retardant Based on Phosphoramidate and Its Application to PC, PBT, EVA, and ABS

  • Nguyen, Congtranh;Kim, Jin-Hwan
    • Macromolecular Research
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    • 제16권7호
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    • pp.620-625
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    • 2008
  • A novel nitrogen-phosphorus compound, diphenyl piperazine-1,4-diylbis(methylphosphinate)(DPPMP) was synthesized via a two step reaction and its flame retarding efficiency as a single component additive was investigated. The success of synthesis was confirmed by FTIR and $^1H$ and $^{31}P$ NMR analysis. The product was mixed with polycarbonate (PC), poly(butylene terephtalate) (PBT), ethylene-vinyl-acetate copolymer (EVA), and acrylonitrile-butadiene-styrene copolymer (ABS). The flame-retarding efficiency was evaluated using the limiting oxygen index (LOI) and the UL-94 vertical test methods. The addition of DPPMP enhanced the flame retardancy of the polymers and the V-0 ratings were obtained for the polymers examined in this study at a loading of 7-30 wt%. The gas-phase flame retardancy mode of action was suggested for this material from the thermogrametry experiment results.

구리계 리드프레임/EMC 접합체의 파괴거동 (Fracture Behavior of Cu-based leadframe/EMC joints)

  • 이호영;유진
    • 한국재료학회지
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    • 제10권8호
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    • pp.551-557
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    • 2000
  • 구리계 리드페임의 표면에 흑생산화물을 형성시키기 위하여 알칼리 용액에 담궈 산화시킨후 EMC(epoxy molding compound)로 몰딩하였고 기계적 가공을 하여 SDCB(sandwiched double-cantilever beam) 및 SBN(sandwiched Brazil-nut)시편을 만들었다. SDCB와 SBN 시편은 리드프레임/EMC 계면의 접착력을 각각 준 mode I 하중 및 혼합모드 하중 하에서 파괴인성치로 측정하기 위하여 고안되었다. 파괴경로를 밝혀내기 위하여 접착력 츨정 후에 얻어진 파면에 대하여 glancing-angle XRD, SEM, AFM, EDS 및 AES를 이용하여 분석하였다. SDCB 실험 후의 파면은 파괴되는 양상에 따라 세 가지 형태로 나눌 수 있었으며, 각 형태는 리드프레임의 접착전 표면 산화물 형성 상태와 밀접한 관계가 있었다. SBN 실험 후의 파면은 균열에서 가까운 부분과 먼 부분으로 나누어지는 특징을 보였는데, 이는 동적 파괴 효과(dynamic fracture effect)에 기인하는 것이라 생각된다. 또한 위상각에 따라 확실히 다른 파괴 양상을 보였는데, 이는 위상각에 따라 mode II 성분이 변하기 때문으로 생각된다.

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직조된 탄소, 유리 및 케블라 섬유 복합소재 튜브의 압축하중하에서 파손 메커니즘 분석 연구 (A Study on Failure Mechanisms of Composite Tubes with Woven Fabric Carbon, Glass and Kevlar/epoxy Under Compressive Loadings)

  • 김정석;윤혁진;이호선;권태수
    • 한국철도학회논문집
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    • 제12권4호
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    • pp.590-596
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    • 2009
  • 본 연구에서는 탄소, 유리, 케블라 및 탄소-케블라 하이브리드 섬유로 제작된 원형튜브를 이용하여 각 소재별 에너지 흡수특성과 파손메커니즘을 규명하였다. 이를 위해 각 튜브에 대한 10mm/min의 준정적 압축시험을 수행하였다. 시험결과 탄소섬유 튜브가 가장 에너지 흡수특성이 우수했으며 탄소-케블라 하이브리드 섬유 튜브가 가장 낮은 에너지 흡수율을 보였다. 또한, 각 소재별 에너지 흡수메커니즘을 분석한 결과 탄소 및 유리섬유튜브는 취성파괴 모드로 압축되었다. 또한, 케블라 섬유 튜브는 국부좌굴에 의한 접힘모드가 지배적이고, 탄소와 케블라 하이브리드 섬유 튜브의 경우 단층굽힘과 국부좌굴모드가 혼합되어 나타났다.

Stochastic fracture behavior analysis of infinite plates with a separate crack and a hole under tensile loading

  • Khubi Lal Khatri;Kanif Markad
    • Computers and Concrete
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    • 제32권1호
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    • pp.99-117
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    • 2023
  • The crack under the influence of the higher intensities of the stresses grows and the structure gets collapsed with the time when the crack length reaches to critical value. Therefore, the fracture behavior of a structure in terms of stress intensity factors (SIF) becomes important to determine the remaining fracture strength and capacity of material and structure for avoiding catastrophic failure, increasing safety and further improvement in the design. The robustness of the method has been demonstrated by comparing the numerical results with analytical and experimental results of some problems. XFEM is used to model cracks and holes in structures and predict their strength and reliability under service conditions. Further, XFEM is extended with a stochastic method for predicting the sensitivity in terms of output COVs and fracture strength in terms of mean values of stress intensity factors (SIFs) of a structure with discontinuities (cracks and holes) under tensile loading condition with input individual and combined randomness in different system parameters. In stochastic technique, the second order perturbation technique (SOPT) has been used for the predicting the fracture behavior of the structures. The stochastic/perturbation technique is also known as Taylor series expansion method and it provides the reliable results if the input randomness is less than twenty percentage. From the present numerical analysis it is observed that, the crack tip near to the hole is under the influence of the stress concentration and the variational effect of the input random parameters on the crack tip in terms of the SIFs are lesser so the COVs are the less sensitive. The COVs of mixed mode SIFs are the most sensitive for the crack angles (α=45° to 90°) for all the values of c1 and d1. The plate with the shorter distance between hole and crack is the most sensitive with all the crack angles but the crack tip which is much nearer to the hole has the highest sensitivity.

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.

SiC 휘스커 강화 Al2O3 복합재료의 고인화 (Toughening of SiC Whisker Reinforced Al2O3 Composite)

  • 김연직;송준희
    • 한국재료학회지
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    • 제14권9호
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    • pp.649-654
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    • 2004
  • In this paper, the fracture toughness and mechanisms of failure in a random SiC-whisker/$Al_{2}O_3$ ceramic composite were investigated using in situ observations during mode I(opening) loading. $SiC_{w}/Al_{2}O_3$ composite was obtained by hot press sintering of $Al_{2}O_3$ powder and SiC whisker as the matrix and reinforcement, respectively. The whisker and powder were mixed using a turbo mill. The composite was produced at SiC whisker volume fraction of $0.3\%$. Compared with monolithic $Al_{2}O_3$, fracture toughness enhancement was observed in $SiC_{w}/Al_{2}O_3$ composite. This improved fracture toughness was attributed to SiC whisker bridging and crack deflection. $SiC_{w}/Al_{2}O_3$ composite exhibited typically brittle fracture behavior, but a fracture process zone was observed in this composite. This means that the load versus load-line displacement curve of $SiC_{w}/Al_{2}O_3$ composite from a fracture test may involve a small non-linear region near the peak load.

Characterization of Fracture Behavior in Repaired Skin/Stiffener Structure with an Inclined Central Crack

  • Chung, Ki-Hyun;Yang, Won-Ho;Heo, Sung-Pil
    • Journal of Mechanical Science and Technology
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    • 제16권5호
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    • pp.599-608
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    • 2002
  • Finite element analysis for the stress intensity factor (SIF) at the skin/stiffener structure with inclined central crack repaired by composite stiffened panels is developed. A numerical investigation was conducted to characterize the fracture behavior and crack growth behavior at the inclined crack. In order to investigate the crack growth direction, maximum tangential stress (MTS) criterion are used. Also, this paper is to study the performance of the effective bonded composite patch repair of a plate containing an inclined central through-crack. The main objective of this research is the validation of the inclined crack patching design. In this paper, the reduction of stress intensity factors at the crack-tip and prediction of crack growth direction are determined to evaluate the effects of various non-dimensional design parameter including; composite patch thickness and stiffener distance. We report the results of finite element analysis on the stiffener locations and crack slant angles and discuss them in this paper. The research on cracked structure subjected to mixed mode loading is accomplished and concludes that more work using a different approaches is necessary. The authors hope the present study will aid those who are responsible for the repair of damaged aircraft structures and also provide general repair guidelines.

Analytical model for estimation of digging forces and specific energy of cable shovel

  • Stavropoulou, M.;Xiroudakis, G.;Exadaktylos, G.
    • Coupled systems mechanics
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    • 제2권1호
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    • pp.23-51
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    • 2013
  • An analytical algorithm for the estimation of the resistance forces exerted on the dipper of a cable shovel and the specific energy consumed in the cutting-loading process is presented. Forces due to payload and to cutting of geomaterials under given initial conditions, cutting trajectory of the bucket, bucket's design, and geomaterial properties are analytically computed. The excavation process has been modeled by means of a kinematical shovel model, as well as of dynamic payload and cutting resistance models. For the calculation of the cutting forces, a logsandwich passive failure mechanism of the geomaterial is considered, as has been found by considering that a slip surface propagates like a mixed mode crack. Subsequently, the Upper-Bound theorem of Limit Analysis Theory is applied for the approximate calculation of the maximum reacting forces exerted on the dipper of the cable shovel. This algorithm has been implemented into an Excel$^{TM}$ spreadsheet to facilitate user-friendly, "transparent" calculations and built-in data analysis techniques. Its use is demonstrated with a realistic application of a medium-sized shovel. It was found, among others, that the specific energy of cutting exhibits a size effect, such that it decreases as the (-1)-power of the cutting depth for the considered example application.

An energy-efficiency approach for bidirectional amplified-and-forward relaying with asymmetric traffic in OFDM systems

  • Jia, Nianlong;Feng, Wenjiang;Zhong, Yuanchang;Kang, Hong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제8권11호
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    • pp.4087-4102
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    • 2014
  • Two-way relaying is an effective way of improving system spectral efficiency by making use of physical layer network coding. However, energy efficiency in OFDM-based bidirectional relaying with asymmetric traffic requirement has not been investigated. In this study, we focused on subcarrier transmission mode selection, bit loading, and power allocation in a multicarrier single amplified-and-forward relay system. In this scheme, each subcarrier can operate in two transmission modes: one-way relaying and two-way relaying. The problem is formulated as a mixed integer programming problem. We adopt a structural approximation optimization method that first decouples the original problem into two suboptimal problems with fixed subcarrier subsets and then finds the optimal subcarrier assignment subsets. Although the suboptimal problems are nonconvex, the results obtained for a single-tone system are used to transform them to convex problems. To find the optimal subcarrier assignment subsets, an iterative algorithm based on subcarrier ranking and matching is developed. Simulation results show that the proposed method can improve system performance compared with conventional methods. Some interesting insights are also obtained via simulation.

Nonlinear vibration analysis of carbon nanotube reinforced composite plane structures

  • Rezaiee-Pajand, Mohammad;Masoodi, Amir R.;Rajabzadeh-Safaei, Niloofar
    • Steel and Composite Structures
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    • 제30권6호
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    • pp.493-516
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    • 2019
  • This paper is dedicated to nonlinear static and free vibration analysis of Uniform Distributed Carbon Nanotube Reinforced Composite (UD-CNTRC) structures under in-plane loading. The authors have suggested an efficient six-node triangular element. Mixed Interpolation of Tensorial Components (MITC) approach is employed to alleviate the membrane locking phenomena. Moreover, the behavior of the well-known LST element is considerably improved by applying an additional linear interpolation on the strain fields. Based on the rule of mixture, the properties of CNTRC are obtained. In this study, only the uniform distributed CNTs are employed through the thickness direction of element. To achieve the natural frequencies and shape modes, the eigenvalue problem is also solved. Using Total Lagrangian Principles, large amplitude free vibration is considered based on the first normalized mode shape of structure. Different well-known plane problem benchmarks and some proposed ones are studied to validate the accuracy and capability of authors' formulations. In addition, the effects of length to the height ratio of beam, CNT's characteristics, support conditions and normalized amplitude parameter on the linear and nonlinear vibration parameters are investigated.