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Basic concepts Because of discussing the COE corresponding mainly to the redundancy material defect, the relevant basic concepts are given as follows: Redundancy material defect.
A real layout with redundancy material defect Short critical area.
Acknowledgements This work was financially supported in part by the National Natural Science Foundation of China (Grant NO. 61173088, 61070143), and in part by the 111 Project under Grant B08038.
Hao, "Development of Critical Area Research Method for Integrated Circuits and Its Challenges," Microelectronics Journal, vol. 39, pp. 704-709, 2009.
Ren, "Critical Area Minimization Using the LP Method," Electronic Science and Technology. vol. 21, pp. 1-4, 2008 (in Chinese)

Influence of Rare Earth Materials on pH Value and Oxidation Reduction Potential (ORP) of Drinking Water Lirong Huang* and Yuhang Chen School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou Jiangxi, China huanglirong@sina.com* Keywords: iIon materials, drinking water, pH Value, ORP Abstract.
Experimental 2.1 Material preparation Preparation of rare-earth materials: rare-earth materials were mainly composed of rare-earth waste-residue powders, and other materials such as tourmaline, zeolite, cordierite, and kaolin.
Then the slop was put into the die specially designed for the rare-earth materials.
Journal of Baotou Medical College [J].2006,22(3): p. 336 [3] Z.
Huang: Exhaust Reduction by Photon-ion Synergy Catalysis Materials [PhD thesis].

Preliminary Review of Biocomposites Materials for Aircraft Radome Application M.Y.Haris1,a, D.Laila1,b, E.S.Zainudin2,c, F.Mustapha2,d, R.
Materials that are used for small aircraft radome usually have low dielectric constant and high toughness.
However, the need for biodegradable materials has prompted the usage of natural fibers.
Materials that are used for light aircraft radome usually have low dielectric constant and high toughness composites [1].
Composites are termed as biocomposite materials when one of its phases either matrix (polymer) or reinforcement comes from natural source [32].

Sylwestera Kaliskiego Street 2, 00-908 Warsaw 49, Poland 2Warsaw University of Technology, Faculty of Materials Science and Engineering, 141 Woloska Street, 02-507 Warsaw, Poland agslawinski@wat.edu.pl, bdmiedzinska@wat.edu.pl, ctniezgoda@wat.edu.pl, dabocz@meil.pw.edu.pl Keywords: Smart materials, microstructure, magnetorheological elastomer, carbonyl iron, rheological properties, magnetic field.
The experiments were carried out on the materials testing machine for static and dynamic loads INSTRON 8802.
The mechanical properties of the MR materials undergo a change when subjected to an external magnetic field.
Volkova: Magnetorheological fluids, Journal of Magnetism and Magnetic Materials 252 (2002) 224-228 [5] Y.
Munoz: A model of the behavior of magnetorheological materials, Smart Mater.

Machining of work-piece as in the form of erosion of materials is based on the Faraday’s law of electrolysis.
Optimization of Electrochemical Machining Process Parameters Using Taguchi Approach.International Journal of Engineering Science and Technology 5, 999-1006
BabuRao.Microstructure and mechanical properties of aluminum–fly ash nano composites made by ultrasonic method.journal of Materials and Design 35 (2012) 55–65
International Journal of Engineering Research and Applications (IJERA) 2, 192-197
Influence of Input Parameters on Characteristics of Electro Chemical Machining Process.International Journal of Applied Science and Engineering 11, 13-24

According to actual requirements of the materials, we can synthesis hollow core-shell structural materials.
Now a variety of hollow structure of materials have been prepared, these materials are ceramic materials (silicate carbide, nitrides, etc.), metal, magnetic materials and semiconductor materials (sulfur compounds, titanium dioxide, etc.), metal oxide, etc.
Used as Gas Sensitive Materials.
Liu, “Adsorption and magnetic removal of neutral red dye from aqueous solution using Fe3O4 hollow nanospheres,” Journal of Hazardous Materials, vol. 181, Jun. 2010, pp. 1039–1050. doi:10.1016/j.jhazmat. 2010.05.019
Öhsner, “A refined finite element analysis on the thermal conductivity of perforated hollow sphere structures,” Computational Materials Science, vol. 47, Sep. 2009, pp. 314-319. doi:10.1016/j.commatsci.2009.08.00

The current stage of technology development can be characterized by a surge interest in the deep processing of materials, nanomaterials and composites.
Pae: Journal of the Academy of Marketing Science Vol. 35 (2) (2007), pp. 259-269 [5] M.
Gulin: Applied Mechanics and Materials Vol. 656 (2014), pp. 497 – 506 [9] Z.
Constantinov: Applied Mechanics and Materials Vol. 436 (2013), pp. 114 – 120 [13] M.
Nikitenko: Key Engineering Materials Vol. 685 (2015), pp. 487-491

In the teaching reform including investigative study and the integration of information technology, is generally accepted that the integration of information technology with curriculum strategy are: optimizing the course structure of space and time, innovation course materials, course materials bag is mainly composed of electronic schoolbag, local curriculum material storage, remote material storage and teaching platform.
And based on the supporting materials, many schools draw lessons from foreign experience, to fixed teaching material in the form of notes, reduce practice principle part, don't write practical steps, mainly is the question for higher College of Engineering students to solve.
Qiu, A joint economic-lot-size model for purchaser and vendor, Decision Sciences, vol.17, pp. 292-311, 1986
Ning, The study on elective course of environmental science major, Journal of Guangdong University of Technology (Social Science Edition), vol.3, pp. 157-159, 2003
Ertogral, The joint economic lot sizing problem: Review and extensions, European Journal of Operational Research, vol. 185, pp. 726-742, 2008

The steel slag can be used in the manufacture of different types of materials.
Composites are materials composed of one or more materials [6].
Series: Materials Science and Engineering Vol.374 (2018) 012019 doi:10.1088/1757-899X/374/1/012019 [5] M.D.
Cardoso: Slag Recycling Oven Electric Steelmaking Pan in Ceramic Materials.
Rethwisch: Materials Science and Engineering: An Introduction.

Materials and experimental methods Materials.
[2] Chen Xiao, Zhang Renyuan, Li Huipeng, Research and application of Al-based metal phase change materials, Materials Research and Application. 3(2009) 73-76
[3] Zhang Renyuan, Sun Jianqiang, Ke Xiufang, Zhou Xiaoxia, Heat storage properties of Al-Si alloy, Chinese Journal of Materials Research. 20(2006) 156-160
[4] Sun Yucheng, Zheng Hongliang, Wu Shuxia, Tian Xuelei, DSC analysis for latent heat of the aluminum-silicon alloy, Journal of Shandong University (Engineering Science). 41(2011) 132-137
[5] Chen Guansheng, Wang Boqun, Zhang Renyuan, Li Feng, Zhang Li, Mai Zhihao, Research of thermal storage characteristics of Al-Si alloy as PCM, Chinese Journal of Materials Research. 4(2010) 255-259.