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Blasco et al: Arch.
El-Shenawy: Environ.
McFadzen et al: Mar.
Shao et al: J.
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Liu, et al: J.
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Geometrically Non-Linear Free Vibration of Fully Clamped FGM Skew Plates using Homogenization Technique Hanane Moulay Abdelali1, a, Khalid El Bikri2,b and Rhali Benamar1,c 1Université Mohammed V - Ecole Mohammadia D’ingénieurs, Avenue Ibn Sina, B.P.765, Agdal, Rabat, Morocco 2Université Mohammed V - ENSET, LaMIPI B.P. 6207, Rabat, Morocco ah.moulay1983@gmail.com, bk.elbikri@um5s.net.ma, crbenamar@emi.ac.ma Keywords: Non-linear vibrations, FGM skew plate, Homogenization technique Abstract.
Boukhzer et al [9] presented a homogenization technique for the non-linear free vibrations analysis of FG rectangular plates.
Jaberzadeh et al [10] investigated the thermal buckling of functionally graded skew and trapezoidal plates using the free element Galerkin method.
Table 3: Comparison of the non-linear frequency ratio wnl*/ wl* of FG square plate (N=2 and 10, q=0(°) and a=1) between the results obtained in reference [12] associated with the fundamental non-linear mode shape and the present results Wmax* a=1 N=2 N=10 Present work Yang et al. [12] Error (%) Present work Yang et al. [12] Error (%) 0.2 1.0075 1.0080 0.05 1.0071 1.0072 0.01 0.4 1.0290 1.0316 0.25 1.0273 1.0281 0.08 0.6 1.0641 1.0689 0.45 1.0605 1.0616 0.10 0.8 1.1115 1.1174 0.53 1.1054 1.1054 0.00 1.0 1.1715 1.1746 0.26 1.1624 1.1575 0.42 Table 4 shows the non-linear results of a fully clamped FGSP for N=1 and an aspect ratio a=1 for skew angles q=0(°), 30(°) and 45(°).
EL Bikri and R.

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Gurfinkelet al., IEEE Trans. on El.
Nakamura et al., 2010 International Power Electronics Conference, pp.1023-1026
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Lee at el. [6] prepared BiFeO3 thin films with a saturation magnetization of 6.1emu/cm 3by sol-gel method.
Ti and Al element is from Ti substrate.
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Box 1670, Regina, SK, Canada, S4P 3C7 rocco.varano@mcgill.ca, abdelbaset.el-wazri@mcgill.ca, steve.yue@mcgill.ca, raynald.gauvin@mcgill.ca, siciliano@referencemetals.com, dbai@ipsco.com Keywords: FE-SEM, Nb precipitates, carbon extraction replicas Abstract.
The replicas were placed in a special holder made of an Al-Si alloy (Fig. 1).
The Al and Si peaks were generated from the holder (the O peak was visible due to oxidation of the holder itself), the Ni peak originated from the sample grid and the extraction replica was mainly responsible for the C peak.
(Note: N was not observed in these particles, possibly due to an absorption effect.) 0 40 80 120 160 200 0 1 2 3 4 5 6 Energy (keV) Intensity (counts) C O Al Si NbNi 0 40 80 120 160 200 0 1 2 3 4 5 6 Energy (keV) Intensity (counts) C O Al Si Nb Ni 0 40 80 120 160 200 0 1 2 3 4 5 6 Energy (keV) Intensity (counts) C O Al Si Nb Ni (a) (b) (c) Fig. 4.
However, from this analysis conducted on carbon extraction replicas using an FE-SEM, it was proven that Nb can indeed precipitate as particles below 50 nm (as low as 10 nm). 0 40 80 120 160 200 0 2 4 6 8 10 12 14 16 Energy (keV) Intensity (counts) C O Al Si NbNi (a) (b) Fig. 5.

Amanullah et al., [1] mentioned that it is often impossible to reduce fluid loss with micro and macro type fluid loss additives due to physio-chemical and mechanical characteristics.
Al-Arfaj, and Z.A.
Al-Abdul Latif, Preliminary Test Results of Nano-based Drilling Fluids for Oil and Gas Field Application, SPE/IADC Drilling Conference and Exhibition, Amsterdam (2011)
El-Diasty and A.M.S.
Ashraf, and Al-Tahini, Nano-Technology - Its Significance in Smart Fluid Development and Gas Field Applications, Saudi Arabia Technical Symposium and Exhibition, Al-Khobar (2001)

(2) where Gmax= ET(1+h12)βEcELσ0-EL∆αTL∆T1+h12 2
(4) β2=1e90°ET+1e0°EL/e90°krGTT+e0°kLGLT
(5) and EC= EL+ h12ET1+h12
Some of these properties (EL, ET, GLT) were obtained from the properties of the elementary constituents (fiber and matrix), measured at test temperature (150°C), using conventional homogenization formulas [19].
Otin, S, et al., Prevision de la durée de vie en fatigue des composites à matrice organique tissés interlock, 17ièmes Journées Nationales sur les Composites (JNC17), Poitiers-Futuroscope, France. pp.196, June 2011