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The Reissner’s plate bending theory with consideration of transverse shear deformation effects is adopted to study the fundamental fracture problem in functionally graded materials(FGMs) plates for a crack parallel to material gradient.
By means of the asymptotic expansion method, the crack-tip higher order asymptotic fields which are similar to the famous Williams’ solutions to homogeneous materials are obtained.
(3) Crack-Tip Higher Order Asymptotic Field The studies of Delale et al. [6, 7] show that the crack tip stress field would be equipped with the same square root singularity as that of homogeneous materials when the material properties of different composite materials at the interfaces are continuous.
Erdogan: Journal of Applied Mechanics.
Noda: Journal of Applied Mechanics.

Experimental Synthesis of materials In the co-precipitation experiments, NiSO4·6H2O, CoSO4·7H2O, MnSO4·H2O, NaOH and NH3·H2O are the raw materials for making precursors Ni0.8Co0.1Mn0.1(OH)2.
Kyu, Positive Electrode Materials for Li-Ion and Li-Batteries, Chem.
Gu, Synergistic Coupling Effect of Single Crystal Morphology and Precursor Treatment of Ni-Rich Cathode Materials, Journal of Alloys and Compounds, 830 (2020)
Dahna, Comparison of Single Crystal and Polycrystalline LiNi0.5Mn0.3Co0.2O2 Positive Electrode Materials for High Voltage Li-Ion Cells, Journal of The Electrochemical Society, 164 (2017) A1534-A1544
Mu, A review: Modification strategies of nickel-rich layer structure cathode (Ni ≥ 0.8) materials for lithium ion power batteries, Journal of Energy Chemistry, 60 (2021) 435-450

The maximum shear strength of the dissimilar materials joint could be reach 22.5MPa.
Materials and experiments The base metals used in this experiment were aluminium alloy 6061 and red copper.
Vol.2 (2008), p.34 [3]O.Khazali, R.Halawa.Journal of Hazardous Materials.
Materials Science and Technology.
Welding Journal.

This method could save manpower and material resources, reduce the consumption of potential dangerous and provide a practical and efficient teaching methods.
References [1] Qunxing Su, Pengyuan Liu: Journal of China Ordnance Vol.21(2006),p.79-83,in Chinese
[2] Bensheng Zhang, Ying Wang: Journal of Naval Aeronautical Engineering Institute Vol.17(2002), p.571-574,in Chinese
[5] Tianhui Zhang, Ying Liu, Yuanchang Zhu: Journal of Ordnance Engineering College Vol.16 (2004),p.56-59,in Chinese
[6] Suangsuang Jiang: Journal of System Simulation Vol..19(2007),p.2488-2491,in Chinese.

This combination is extremely effective for particle-based simulation of fibrous materials with fine and disordered microstructure described by short-range interactions.
Therefore, all presented microplane-based approaches can be used for nonlinear materials as well.
Tadmor, The quasicontinuum method: Overview, applications and current directions, Journal of Computer-Aided Materials Design. 9 (2002) 203-239
Oh, Microplane model for progressive fracture of concrete and rock, Journal of Engineering Mechanics. 111 (1985) 559-582
Patzák, OOFEM - an object-oriented simulation tool for advanced modeling of materials and structures.

Auction Methods of Homogeneous Goods Such as Mine and Energy Material Congjun Rao College of Mathematics and Computer Science, Huanggang Normal University, Huanggang 438000, China e-mail: cjrao@163.com Keywords: Multi-Object Auction, Divisible Goods Auction, Indivisible Goods Auction Abstract.
Acknowledgments This work is supported by the 2012 National Natural Science Foundation of China Grant to C.J.
The Journal of Finance Vol. 16 (1961), p. 8-37
The RAND Journal of Economics Vol. 35 (2004), p. 147-159
Journal of Monetary Economics Vol. 56 (2009), p. 267-274

From a quantity of suitable materials, the most eligible materials can be identified by comparing these isolated material properties in the relevant ratio: the material index.
Weidenmann, Specific bending stiffness of in-mold-assembled hybrid sandwich structures with CFRP face sheets and aluminum foam cores manufactured by a polyurethane spraying process, Journal of Sandwich Structures and Materials, in Review [7] H.
Yao, Diffusion bonding in fabrication of aluminum foam sandwich panels, Journal of Materials Processing Technology, 230:35-41, 2016 [14] M.
Hipke, New Sandwich Structures Consisting of Aluminium Foam and Thermoplastic Hybrid Laminate Top Layers, Materials Science Forum, Vols. 825-826, pp. 797-805, 2015 [16] A.
Mortensen, Graded open-cell aluminium foam core sandwich beams, Materials Science and Engineering A, 404:9-18, 2005 [17] M.F.

Method and Material 2.1.
Ahmed, Electrical, thermoelectrical and magnetic properties of approximately 20-nm Ni-Co-O nanoparticles and investigation of their conduction phenomena, Materials Chemistry and Physics, 192 (2017) 41-47
Hussain, Zinc oxide nanoparticles: a review of their biological synthesis, antimicrobial activity, uptake, translocation and biotransformation in plants, Journal of materials science, 53 (2018) 185-201
Varghese, Synthesis of biogenic ZnO nanoparticles and its impact on seed germination and root growth of Oryza sativa L. and Vigna unguiculata L, Materials Today: Proceedings, (2020)
Girigoswami, Studies on polymer-coated zinc oxide nanoparticles: UV-blocking efficacy and in vivo toxicity, Materials Science and Engineering: C, 56 (2015) 501-510

Study on adsorption of Methylene Blue by the Modified Kaolin Muqing Qiu1, a, Jiajia Zhang1, b and Jiawei Ni1, c College of Life Science, Shaoxing University, Zhejiang Shaoxing, P.R.
Using Kaolin as the main raw material,l ultrafine particles modified Kaolin were prepared.
Materials and Methods Reagent A simulated dye wastewater with a certain concentration of methylene blue solution of reserve. 30% (mass fraction, similarly hereinafter) hydrogen peroxide.
Shen: Journal of Materials Science.
:Journal of Zhejiang University Science.Vol.5(2004),p.206 [5] Shi P.P. and Y.N.Qin:Tianjin chemical industry.

Song: Chemicals and Materials from Coal in the 21st Century.
Journal of Wuhan University of Science and Technology, Vol. 32 (2009), p. 638~643 [5] X.H.
Journal of Coal Science & Engineering, Vol. 14 (2008), p. 672~674 [6] X.H.
Journal of Xi’an University of Science and Technology, Vol. 27 (2007), p. 594~602 [8] L.M.
Journal of Hunan University of Science & Technology (Natural Science Edition), Vol. 21 (2006), p. 77~81 [9] Z.H.