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The brightest trait of the degenerated virtual laminated element is virtual lamination, so the calculation of the stiffness matrix can be divided into different blocks and different materials, and the blocks with no material are virtual blocks, the stiffness of which are set to be zero.
Hence, since an element could contain multiple materials or even no material, the work is much easier when we separate the structure into elements, especially for complicated structures such as box girder, the number of elements can be remarkably reduced.
The formula to calculate the stiffness matrix of an element containing various materials is as follows: In the formula, is the number of material kinds, is the Jocobi determinant of the coordinate transverse matrix for the very block.
Journal of Sound and Vibration, 1991, 145(2) : 321-332 [2] Carden EP, Fanning P.
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Journal of Harbin Engineering University, 2006, 27(4), pp. 492~500 (in Chinese) [3] Liangbi Li, Zili Wang.
Journal of East China Shipbuilding Institute (Natural Science Edition), 2004, 18(3), pp. 15~20 (in Chinese) [4] L.
International Journal of Fatigue, 2000, 22(1), pp. 41~52 [5] Genki Yagawa, Shinobu Yoshimura.
International Journal of Pressure Vessels and Piping, 1997, 73(1), pp. 97~107 [6] G.
Wuhan: Huazhong University of Science and Technology Press, 2004.

Table 1 Fiber laser welding conditions Laser power 10 kW Welding speed 2.5m/min Shielding gas Ar High speed camera Frame rate 1000f/s, Pixel´pixel=512´500 High speed camera filter wave length l 960-990nm Mount angle of camera 150 Image resolution 11.4 pixel/0.1mm Welding materials Stainless steel(Type304) Welding material dimensions (L´W´D mm) 150´49´10 Welding types Butt welding Seam gap 0-0.1mm Image Smoothing.
Acknowledgements This work was partly supported by the National Natural Science Foundation of China (51175095), the Natural Science Foundation of Guangdong Province of China (10251009001000001, 9151009001000020) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (20104420110001).
Chen: The International Journal of Advanced Manufacturing Technology, Vol. 26 (2005) No.9-10, p. 1012-1017
Zhao: Journal of Mechanical Engineering, Vol. 45 (2009) No.4, p. 136-141

Yupapin2, c 1Nano Photonics Research Group (NPRG), Department of Electrical Engineering, Faculty of Industry and Technology, Rajamangala University of Technology Isan Sakon Nakhon Campus, Sakon Nakhon, 47160, Thailand. 2Nanoscale Science and Engineering Research Alliance (N’SERA), Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, 10520, Thailand.
The difference codes of each user can be changed by tuning the center wavelength of the laser source, multi-laser source with difference center wavelength, or tuning the resonant frequency response of the mesh ring resonator, the most straightforward approach is to change the effective index of the ring, such as thermo-optic effect by applying heat to the ring the refractive index of the material changes [8], and electro-optic effect which causes the change in refractive index [9].
Geraghty, Novel Super Structured Bragg Gratings for Optical Encryption, Journal of Lightwave Technology. 24 (2006) 1875-1885
Heidrich, Optical Filters Based on Ring Resonators With Integrated Semiconductor Optical Amplifiers in GaInAsP-InP, IEEE Journal of Selected Topics in Quantum Electronics. 8 (2002) 1405-1411
Diemeer, Polymeric thermo-optic space switches for optical communications, Optical Materials. 9 (1998) 192-200

Materials research society 1998 23(5) 50-56
Methods for producing iron-based amorphous alloy ribbon and nanocrystalline material.
International Journal of Thermal Sciences. 2014 (76) 245-257
Study on the numerical simulation of heat transfer performance for multi-channel tubes based on fluid-solid coupled. 10th International Symposium on Distributed Computing and Application to Business, Engineering and Science. 2011
The Journal of Supercritical Fluids. 2014 (88) 8-16.

This paper focuses on hub body optimization, so material of the blades is not taken into account.
[2] SUN Chuan-zong, “Strength analysis of MW wind turbine hub”, “Journal of Shenyang University of Technology”, Vol130 No.11, Feb 2008
[3] Marie Lunde Sæterstad, “Dimensioning Loads for a Tidal Turbine”, “Norwegian University of Science and Technology”, June 2011
[4] Kong Fankai and Zhu Yongwei,“ Structural Analysis of Horizontal Tidal Current Turbine Main Shaft”, “Key Engineering Materials” Vol. 572 (2014) pp 32-35
[5] Arvind Singh Rathore,“ Design and Analysis of Horizontal Axis Wind Turbine Rotor”, “International Journal of Engineering Science and Technology (IJEST)”, Vol. 3 No.11, November 2011.

PGE geochemical characteristics of the Huangshanxi magmatic Ni-Cu sulfide deposit, East Tianshan, Xinjiang, and its significance for the mineralization Yong Fu1, Tao Sun1* 1MRL Key Laboratory of Metallogeny and Mineral Assessment, Institute of Mineral Resources, Chinese Academy of Geological Sciences, Beijing 100037, China *Corresponding author: email, suntao06@126.com Keywords: Platinum-group elements; sulfide segregation; mineralization process; Ni-Cu sulfide deposit; Huangshanxi; Xinjiang Abstract: The Huangshanxi sulfide-bearing intrusion, is located in the centre segment of Tudun-Huangshan- Jing`erquan-Tulargen mafic-ultramafic rock belt, the eastern part of the North Tianshan, controlled by the Kangurtag-Huangshan ductile sheer zone, and it is a multiple intrusion which composes of lherzolite, amphibole peridotite, wehrlite, pyroxenite, norite, gabbro, and diorite.
Usually, if the crustal materials join in the magmatic system, the Nb/Th ratios and Ce/Pb ratios will be decreased and increased the content of SiO2, K2O and large ion lithophile elements (LILE, ex.
Acknowledgements This study was financially supported by the National Science Foundation of China (41372101), a China Postdoctoral Science Foundation funded project (2013M541001).
Journal of Petrology Vol. 38 (1997), p. 1359–1390 [4] I.H.Campbell and R.W.Griffiths: The evolution of mantle’s chemical structure.
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Yuan[5] has experimented grooving and cutting technology of Kevlar fiber reinforced polymer matrix composites materials.
laser cutting The basic principle of laser cutting was that the high power density of focused laser beam shot materials specified position, materials were cut due to melting and gasification through temperature grew sharply cut[7].
Beijing: science press,1997.
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Study on the Application Technology of Polymers and Composite Materials: [D].

Elias: International Journal of Refractory Metals& Hard Materials Vol. 25 (2007), p. 374
Metallurgy and Materials (COPPE/UFRJ).
Swain: Dental Materials (2004), p. 449
Deng: Journal of University of Science and Technology Beijing Vol. 15(6) (2008), p. 764
Luo: Materials Science and Engineering B99 (2003), p. 321

Introduction Reverse logistics (RL) is a business management tool that can contribute to reducing the cost of procuring raw materials and moderate environmental deterioration caused by waste[1].
Bustos-Flores, Implementation of reverse logistics as a sustainable tool for raw material purchasing in developing countries: The case of Venezuela, International Journal of Production Economics, (2012)
Zakuan, Sustainable Supplier Selection based on Self-organizing Map Neural Network and Multi Criteria Decision Making Approaches, Procedia-Social and Behavioral Sciences, 65 (2012) 879-884
Heavey, An Integrated Approach for Sustainable Supplier Selection Using Fuzzy Logic and Fuzzy AHP, Applied Mechanics and Materials, 315 (2013) 206-210
Chang, Applications of the extent analysis method on fuzzy AHP, European journal of operational research, 95 (1996) 649-655