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Nowadays, the past three decades have witnessed significant progress on fractional calculus, because the applications of fractional calculus were found in more and more scientific fields, covering mechanics, physics, engineering, informatics, and materials.
Kwon ,“Synchronization criteria for coupled stochastic neural networks with time-varying delays”, Journal of the Franklin Institute.vol. 349(2012)p. 1699-1720
[5]Wu Yongqing, Li Changpin; Wu YuJiang, “Generalized synchronization between two different complex networks”, Communications in Nonlinear Science and Numerical Simulations. vol.17(2012), p.349-355 [6]Qintao Gan, Renxi Hu, Yuhua Liang, “Adaptive synchronization for stochastic competitive neural networks with mixed time-varying delays”, Communications in Nonlinear Science and Numerical Simulations.vol. 17(2012), p.3708-3718
[7]Xuefei Wu, Chen Xu, "Cluster synchronization of nonlinearly coupled neural networks with hybrid time-varying delays and stochastic perturbations via pinning control", JCIT: Journal of Convergence Information Technology. vol. 7(2012), p. 101 -111,

Hence, because of the addition of ultrasonic vibration, the material removal mechanism of the hard brittle material was changed at all, and it made the grinding force was not sensitive to the change of grinding parameters.
The material removing mechanism of radial ultrasonic grinding mainly is: 1) The ultrasonically impact of grain produced a great deal of micro crack; 2) When the workpiece away from grinding wheel, the huge acceleration changed the stress state in the crack area, promoted the crack extending and grinding debris removing; 3) The single grain cut-in and cut-off the workpiece time after time in the form of micro pulse feed, removed workpiece materials in discontinues grinding mechanism.
References: [1] Lin Hecheng, “Development of rare earth permanent magnetic material”, Metal Materials Research, 1994 (4): pp. 70-72.
Kato, “Development of an ultrasonic elliptic-vibration shoe center-less grinding technique,” Journal of Material Processing Technology, 155-156, pp. 1780-1787, 2004
Kato, “A new center-less Grinding Technique Using a Surface Grinder,” Journal of Material Processing Technology, 162-163, pp. 709-717, 2005

Tieu, "Effect of rolling parameters on cold rolling of thin strip during work roll edge contact," Journal of Materials Processing Technology, vol. 140, pp. 535-541, 2003
Ni, "Material behavior modelling in micro/meso-scale forming process with considering size/scale effects," Computational Materials Science, vol. 43, pp. 1003-1009, 2008
Ito, "Validation of FE simulation based on surface roughness model in micro-deep drawing," Journal of Materials Processing Technology, vol. 204, pp. 89-93, 2008
Sun, "Finite element simulation of cold rolling of thin strip," Journal of Materials Processing Technology, vol. 140, pp. 542-547, 2003
Zhang, "Finite element modelling of mixed film lubrication in cold strip rolling," Journal of Materials Processing Technology, vol. 151, pp. 242-247, 2004

Introduction Gray iron is one of the most used fundamental engineering materials.
High-silicon gray cast iron is a special alloy within the spectrum of cast iron materials, distinguished by its elevated silicon content.
Saxena, Materials Today: Proceedings, Vol. 26, (2020) pp. 1393-1401 [2] K.B.
Rundman, Encyclopedia of Materials: Science and Technology, (2001) pp. 1003-1010 [3] Y.S.
Pham, Advances in Science, Technology and Engineering Systems Journal, Vol.5 (2020), pp. 838-844 [5] D.

The ZrW2O8 family of materials has been shown to display the unusual property of an isotropic bulk contraction in volume with the rising of temperature.
Experiment In this paper ZrOCl2·8H2O(AR), (NH4)6W7O24·6H2O(AR) and (NH4)6Mo7O24·4H2O(AR) are used as materials, and Al(NO3)3(AR) and NH4VO3(AR) are applied as doped materials.
The rapid change of temperature is a big problem for the thermal shock resistance of this kind of material.
Sleight: Science, Vol. 272 (1996), p.90 [2] J.
Xiong: Journal of Materials Engineering, Vol. 3 (2003), p.3 [8] S.

W., Pulse Detonation Propulsion: Challenges, Current Status, and Future Perspective, Progress in Energy and Combustion Science, Vol. 30, No. 6, 2004, pp. 545–672
International Journal of Mechanical and Materials Engineering (2010) 5 (2), p. 152-162
Wahid, Theoretical Notes on the Mathematical Modelling of Gaseous Detonations Using Boltzmann Equation, Journal in Applied Science, Elsevier, Journal of Applied Sciences 10 (14) , pp. 1476-1480, 2010
[38] Enayatifar, R., Yousefi, M., Abdullah, A.H., Darus, A.N., LAHS: A novel harmony search algorithm based on learning automata, 2013, Communications in Nonlinear Science and Numerical Simulation
[42] Said, Z., Mohammed, H.A., Saidur, R., 2013, Mixed convection heat transfer of nanofluids in a lid driven square cavity: A parametric study, International Journal of Mechanical and Materials Engineering 8 (1), pp. 48-57.

Zhou: Smart Materials and Structures Vol. 12 (2003), p. 139 [2] M.
Bullions: Journal of Intelligent Material Systems and Structures Vol. 7 (1996), p. 613 [4] H.T.
Yanyo: Journal of Intelligent Material Systems and Structures Vol. 10 (1999), p
Shaw: Smart Materials and Structures Vol. 12 (2003), p. 157 [10] M.
Leonowicz, in: Smart Structures and Materials 2006: Active Materials: Behavior and Mechanics, edited by William D.

Design and Research of the Foldable Decorative Screen with Ethnic Style Based on Weft-backed Structure Aidan ZHANG 1, a, Xueqin WANG2, b 1,2Key Laboratory of Advanced Textile Materials and Manufacturing Technology of MOE， Zhejiang Science and Technology University, Hangzhou, Zhejiang, China.
Acknowledgements This work was financially supported by the Key Lab of Advanced Textile Materials and Manufacturing Technology of MOE, Zhe Jiang Sci-tech University （2010QN08）.
References [1] Jiu ZHOU, Frankie NG: Journal of Dong Hua University (Natural Science) Vol.34-1(2008), p44-47
[2] Jiu ZHOU, Frankie NG: Journal of Textile Research Vol. 28-5 (2007), p 47-50
[4] Rong HAN, Senlin ZHANG: Journal of Textile Research, 8（2006), p 90

This article creatively combines the design of unmanned plane airfoil with the idea of bionics, extracting the seagull airfoil[3] through consulting materials.
The structure material parameters are showed in Table 2.
Airspace , http://www.nationaldefensemagazine.org/archive/2011/October/Pages/FAASetsDateforSmallUnmannedPlanesinUSAirspace.aspx ,2011.10 [2]Michael S.Selig, James J.Guglielmo,Andy P.Broeren,＂Experiments on Airfoils at Low Reynolds Number(Translation Journals style)＂[J],AIAA-1996-62,34th Aerospace Science Meeting and Exhibit,NV,Jan1996,pp.15-18 [3]Tianshu Liu, K.uykendoll, R.
Pitney management services Denmark A/S.2001 [5]Hong-li Li，Design and Investigation of Aerodynamic Performance of dedicated Airfoil Families for Horizontal-Axis Wind Turbines [D],Graduate School of Chinese Academy of Sciences ,2009.5 [6]MUELLER T.J.
＂The Influence of Laminar Separation and Transition on Low Reynolds Number Airfoil Hysterics (Translation Journals style)＂[J],Journal of Aircraft,vol22,1985,pp.764-770 [7]Rong Ma, Peiqing Liu.

Influence of Some Chemical Elements on SDAS of A357 Alloy Jiehua Pan1，Kezhun He2, Meng Wang3 and Jianmin Zeng1, a * 1Key Laboratory of Nonferrous Materials and New Processing Technology Guangxi University, Nanning, Guangxi, P.R.China 2Alnan Aluminum Co., LTD, Nanning, Guangxi, P.R.China 3Northwestern Polytechnical University Xian, Shanxi, P.R.China azjmg@gxu.edu.cn Keywords: Chemical element; SDAS; A357 alloy; Solidification model Abstract.
[2] Mohamed Iben Houria, Yves Nadota, Raouf Fathallah, Matthew Roy, Daan M.Maijer, Influence of casting defect and SDAS on the multiaxial fatigue behaviour of A356-T6 alloy including mean stress effect, International Journal of Fatigue, (80) 2015, 90-102
[3] Lorella Ceschini, Alessandro Morri, Stefania Toschi, Sten Johansson, Salem Seifeddine, Microstructural and mechanical properties characterization of heat treated and overaged cast A354 alloy with various SDAS at room and elevated temperature, Materials Science and Engineering: A, (648) 2015, 340-349
Dendrite Arm Space in Castings of Al-Si Alloy, Journal of Chongqing University, 21(2) 1998, 56-61
[8] Qingyou Han, Hanqi Hu, The Influence of Solute Contents on Secondary Dendrite Arm Spacing for Multicomponent Alloys, Journal of Beijing Institute of Iron and Steel, (1) 1985, 1-11