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Spacing of fractures in a multilayer materials system is an important research topic in the geosciences[1-5], civil engineering and material sciences [6-10].
Conclusions Fracture saturation in multilayer materials system such as fuction graded material, bedded sedimentary rocks is an important research topic.
American Journal of Science, vol308, (2008)，p49-72 [7] Garrett K.
Journal of Material Science, Vol.12, (1977). p.157-168 [8] Hong A.
Journal of Material Science, Vol. 13, (1978).

Passive damping technology using viscoelastic materials is classically used to control vibrations.
Viscoelastic material among the damping materials is widely used to dissipate the structural vibration energy.
This, in turn, has necessitated the search for better vibration-damping materials [11].
Journal Mechanical Engineering Science, Vol. 20 No 5(1978)
Journal of Composite Materials.

Introduction Functionally Graded Materials (FGMs) are a comparatively a new class of materials with continuously changing material properties from metal to ceramic surface, in the thickness direction.
Praveen, Simulation of Traditional Composites under Thermal Loads, Research Journal of Recent Sciences, Vol. 2, 2013,pp. 273-278
Panda, Effect of temperature on stability behaviour of functionally graded spherical panel, Materials Science and Engineering 75, 2015
Megueni , Buckling Analysis of Functionally Graded Plates with Simply Supported Edges, Leonardo Journal of Sciences, December, Vol. 15, 2009, pp. 21-32
Touloukian, Properties of high temperature solid materials, McMillan, New York , 1967

Materials Flows Analysis on the Beneficiation and Roasting Processes of a Typical Rare Earth Mineral Chuan Qiua, Xianzheng Gongb, Wenjuan Chenc*, Zhihong Wang Feng Gao and Xiaoqing Li School of Materials Science and Engineering, Beijing University of Technology, 100 ping le yuan, Chaoyang district, Beijing, 100124, China aqiuchuan@emails.bjut.edu.cn, bgongxianzheng@bjut.edu.cn, cchenwenjuan@bjut.edu.cn Keywords: Material Flow Analysis, Resource Consumption, Environmental Impact, Rare Earth.
The aim of this paper is to explore material flow analysis, study the resource consumption and environmental impact of the production preparation process of typical rare earth materials.
Material flow theory is a quantitatively analyzed theory using mathematical physics methods in industrial processes according to the flow direction and the number of certain production processes of the input of raw materials [3].
[5] LU Zhongwu, The Influence of Materials Flows in Manufacturing Process on Its Energy Intensity[J], Acta Metallurgica Sinica, 2000
Material flow analysis applied to rare earth elements in Europe [J], Journal of Cleaner Production, (2015)1-14.

Journal of Materials Processing Technology 209.20 (2009): 6168-6173
Journal of Composite Materials. 2021;55(12):1693-1703. doi:10.1177/0021998320974428 [52] V.
International Journal of Innovative Research in Science, Engineering and Technology, vol. 5, no. 7, pp. 76–81, 2016 [71] C.
International Journal of Materials and Metallurgical Engineering, vol. 7, pp. 52–59, 2013
Journal of Minerals and Materials Characterization and Engineering, vol. 11, no. 8, pp. 774–779, 2012.

Experimental Procedure Raw materials of corundum (size≤2mm, 99.3wt.
Two kinds of carbon materials were adopted, respectively.
Table 1 lists chemical composition of the carbon materials.
Zou: Structure and Performance of Composite Materials (Science Press, Beijing 1999)
Cheng: Chinese Journal of Materials Research Vol.14 (2000), pp. 469

Journal of Tongji University (Natural Science), 47(6), (2019), 802-809
The Materials and Its Appplication of Double Component Road Marker, Shanxi Science Technology of Communications, (02), (2005), 68-69+78
Ordnance Material Science and Engineering, 33(5), (2010), 64-67
Materials Science and Technology, 35(14), (2019), 1661-1677
Journal of Materials in Civil Engineering, 30(8), (2018), 04018173

The hazardous materials on highway are becoming a lot of mobile hazardous sources.
Hazardous materials on the road are dangerous sources.
The authors also thank the supports by Lanzhou Municipal Science of Technology Projects and the Baiyin Municipal Science of Technology Project.
Journal of Transportation Engineering,Vol.115(1989),p.661-673
Journal of Wuhan University of Technology(Transportation Science and Engineering), Vol.34(2010),p.916-919

Such stimuli include heat (thermo-responsive materials), stress/pressure (mechanoresponsive materials), electrical current/voltage (electro-responsive materials), magnetic field (magneto responsive materials), pH change/solvent/moisture (chemo-responsive materials) and light (photo-responsive materials), etc.
These materials are known as the stimulus-responsive materials (SRMs).
“Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations”, International Journal of Engineering Science 37, Pergamon, (1999), p. 1089-1140
“One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials”, Journal of Intelligent Material Systems and Structures 1(2), SAGE Publications, (1990), p. 207-234
“Finite element modeling of cyclic thermal response of shape memory alloy wires with variable material properties“, Computational Materials Science 17, Elsevier, (2000), p. 93-104

This essay will demonstrate the features of materials through the study on the texture and unfold the beauty of this material expression.
The colors of materials share a lavish range of visual expressions.
This ultimate authenticity derived by the real physiological function which people can never get through the imitating of computer science.
Above all, the texture of the materials form the language of the story, and these materials silently express an authentic feeling with vivid emotion, with the development of high technology, materials would be widely used in stop motion, since the digital time started, people are aching to watch more stop motions in various materials, for they have strong visual and high sense of aesthetics, thus the study on texture of materials would be a meaningful topic to go deeper.
Beijing: Bejing Union Press, 2013:89-90 [3] Peng Luman, A Primary Study on Experimental Animation [J], Techniques and Market, 2011,18(12):193-194 [4] Sun Jing, The Style and Material of Stop Motion [J], Journal of Hubei Economic School ( Human and Social Science Section) 2012,9(11):25-26 [5] Yang Shuwei, The Light Strategy in Designing Animation Character [J], Education and Study on Art, 2012, 53(5):67 [6] He Jing, On the Expression of Material Animation [J], Beauty and Time,2010,390(5):96-98