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The local macro-scopic properties at each material point are then determined through meanfield homogenization and orientation averaging based on the corresponding (local) fiber orientation, resulting in a unique ma-terial card per material point.
Kärger, "Tensor interpolation in virtual manufacturing chains for fiber reinforced composites," International Journal of Mechanical Sciences, vol. 226, p. 107378, July 2022.[5] K.
Kanatani, "Distribution of directional data and fabric tensors," International Journal of Engineering Science, vol. 22, pp. 149-164, Jan. 1984
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Duchesnay, "Scikit-learn: Machine learning in Python," Journal of Machine Learning Research, vol. 12, no. 85, pp. 2825-2830, 2011

SGS-2013-036 and the project of the Czech Science Foundation No.
Janda, Plastic behavior in shear and degradation of shear modulus of textile composite materials with simple plane wave, in: T.
Taylor, A constitutive model for anisotropic damage in fiber-composites, Mechanics of Materials 20 (1995) 125-152
Rizov, Non-linear indentation behavior of foam core sandwich composite materials / A 2D approach, Computational Materials Science 35 (2006) 107-115
Zemčík, Progressive damage of unidirectional composite panel, Journal of Composite Materials 42 (2008) 22-44

However, materials and approaches used to improve the mechanical property of the polymer are still under scrutiny.
This interaction mainly attributed on the property of the materials and scaffold characteristics.
Pal, “Characterization of silane coated hollow sphere alumina-reinforced ultra high molecular weight polyethylene composite as a possible bone substitute material,” Bulletin of Materials Science, vol. 25, no. 7, pp. 609–612, Dec. 2002
Kannuri, “On the Injection Molding Processing Parameters of HDPE-TiO2 Nanocomposites,” Materials, vol. 10, no. 1, p. 85, Jan. 2017
Brunette, Titanium in Medicine: Material Science, Surface Science, Engineering, Biological Responses, and Medical Applications.

Numerical Simulation for A Backward-Facing Step Two-Phase Flow Using TOMTM Jiangrong Xu1, a, Jinfang Gao1b, Lu Wang2,c 1 Institute of Energy Science and Engineering, Hangzhou Dianzi University, Hangzhou 310018, China 2 School of energy and power engineering, Nanjing university of science and technology, Nanjing 210094, China ajrxu@hdu.edu.cn, b1039690780@qq.com ,c wa.lu.314@163.com Keywords: Two-phase flow; Second-order moment model; Numerical Simulation, Turbulence.
Acknowledgment This work was supported by the National Natural Science Foundation of China (Grant No. 51176044 ). and NSF of Zhejiang Province (Grant No. 1110620) References [1] J.R.
Two-Order Moment Trajectory Model of Two-Phase Turbulence Flow Based on Particle PDF Transport Equation, ICMEE 2014, Applied Mechanics and Materials, (in press) [2] C.
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CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(4): 518-526

Acknowledgements This work is supported by the National Natural Science Foundation of China through grant 50808085 and Guangzhou Science and Technology Research Projects through grant 2006Z2-I0041.
Wang, in: Journal of Computing in Civil Engineering, Vol. 21 (2007), p. 402
Huang, in: Journal of Railway Science and Engineering, Vol. 4 (2007), p. 31
Fang, in: Advanced Materials Research, Vol. 163-167 (2011), p. 3328

Jiang: Applied Surface Science.
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Jiang: Applied Surface Science.
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However, the method assumes that the contact periphery sinks in, which limits the applicability to the materials pile-up [1].
The applicability of O&P method, developed from a purely elastic contact mechanics (sink-in) is limited by the materials pile-up.
Material and methods The materials used in this study are steel sheets: (i) XSG steel - interstitial free steel (ferrite microstructure, F).
Raj, Finite element analysis of spherical indentation to study pile-up/sink-in phenomena in steels and experimental validation, International Journal of Mechanical Sciences. 54 (2012) 74–83
Yu, Investigation on methods for dealing with pile-up errors in evaluating the mechanical properties of thin metal films at sub-micron scale on hard substrates by nanoindentation technique, Materials Science and Engineering.

The mixtures of the material enhance the wear resistance and fatigue property of concrete.
The wear resistance of different HBSPC has great relationship with types of mixtures of the material; different mixtures of the material have respective characteristics.
(3) The preferential order of different concrete materials’ wear-resistance is HG emulsion HBSPC>SD emulsion HBSPC>silica flour HBSPC> fibrous reticulum HBSPC> plain concrete, this result show that the mixtures of the material enhance the wear resistance
References [1] Zhongda Chen, Feng Liang,Genchang Liu: submitted to Journal of Chang’an University (Natural Science Edition)(2005).
(In Chinese) [4] Bo Tian, Kaimin Niu: submitted to Journal of highway and transportation research and development(2008) .

Acknowledgment This work was supported by Science and Technology Projects of the Ministry of Housing and Urban-Rural Development (2012-K7-19) and Shenyang Jianzhu University youth fund(2012038).
References [1] Peng LG, Liu EY, Zhang DH.Development and Application of Advanced Coiling Temperature Control System in Hot Strip Mill (Advanced Materials Research, 2012)
[3] Wang MT, Li XT, Du FS.Experimental Study on the Laminar Cooling Process of the Middle and Heavy Plate (Applied Mechanics and Materials,2012)
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[6] Tan MH, Li SJ, Chai TY.Model Software Package Development for Laminar Cooling Process in Hot Mill (Journal of Iron and Steel Research International,2010)

The costs of both materials and fabrications will be dramatically reduced [1-2] by IT-SOFC.
Experiments Ce0.9Gd0.1Ox (CGO) materials were fabricated by sol-gel method using acetate precursor.
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[2]T.Ota, M.Koyama, C.Wen, K.Yamada, H.Takahashi, Journal of Power Sources, Vol.118(2003),P.430
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