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‘An Overview of Solar Cells Materials Classification’.
Science and Technology of Advanced Materials 19 (1): 336–69, DOI: 10.1080/14686996.2018.1433439 [6] Attari, Kamal, Lahcen Amhaimar, Ali El Yaakoubi, Adel Asselman, and Mounir Bassou. 2017.
Modeling and Numerical Simulation of Material Science 07 (03): 33–45.2017.73003 http://creativecommons.org/licenses/by/4.0/
Materials, physics, and circuits.
Journal of Materials Science: Materials in Electronics, 18, 1-1.pp157 DOIhttps://doi.org/10.1007/s10854-007-9154-3 [21] Olusola, O.I.O., Madugu, M.L.and Dharmadasa, I.M., 2015.

Among various types of materials timber and concrete & masonry waste were the most generated waste at construction sites.
Equation 3 shows that the total gained cost (TG) is the sum of the revenue obtained from selling steel waste materials (RSTL) and the cost savings of waste collection (including transportation and landfilling) by recycling steel waste materials (CSSTL).
This is because both the contractors handle the steel waste well and the materials were ordered in appropriate sizes as required.
Environmental Science and Pollution Research, (2019). 27(30), 37237-37259
In Key Engineering Materials. (2022).

Steel is isotropic material and CFRP sheets are hypothesized as brittle elastic material [9].
Calculating Method for the Stiffness of RC Beam Strengthened with CFRP under Quadratic Loading, edited by Journal of Gan Su Sciences, 20:2, 60~ 63. (2008) (in Chinese) [3] Peng Li, Dexin Xu and Hanmin Zhang.
Journal of Composites for Construction. 2009, 13(1):2~12
Journal of Structural Engineering. 2003, 129(2):186~196
Enhancement of Carrying Capability of Steel Construction by Prestressed CFRP Technique, edited by Journal of PLA University of Science and Technology, 4:4, 58~60. (2003) (in Chinese) [9] Qingxin Ren, Tingguo Chen, Chengkui Huang and Yanhua Liu.

Material Properties In the simulation model, the conductor material is 10# steel; the coil material is copper.
Acknowledgement This work was supported by National Natural Science Foundation of China (No. 51075236), and National Natural Science Foundation of Shandong Province of China (No.
Chinese Journal of Scientific Instrument, 1994, 15[4]: 342-346.
Chinese Journal of Mechanical Engineering, 2006, 42[2]: 63-67.
Journal of tsinghua university(science and technology), 1999, 39[10].

Material model Materials model are composed of various parameters of barrels materials.
According to three-dimensional thermoelasticity coupling model of barrel, we can consider the temperature effects on thermal physical and mechanical properties of engineering materials and refer to engineerings manual.
Journal of Ballistics, 2006,12,Vol.18(4):16-20.
(In Chinese) [4] Engineering materials practical manual editing committee.
Engineering Materials Practical Handbook [M].

Luchao: Simulation on Triaxial Compression Creep Deformation of Reticulate Red Clay, Advanced Materials Research, Vols. 261-263, 1414-1418(2011) [6] X.
Zhongli: The Weathering Sequence of the Red Earth over Southern China, Journal of mountain science, 18(1): 7-12(2000)(in Chinese) [7] Z.
Jiancheng: On the Southern Vermicular Red Soil and Its Forming Environment, Journal of Jiaying university(natural science), 23(3): 79-83(2005)(in Chinese) [8] G.
Zejun: Research Advance of Red Earth in South China, Journal of east China normal university(natural science), 1: 69-75(2002) (in Chinese) [9] W.
Xiqing: Study on Shear Rate Effects of Reticulate Red Clay, Advanced Materials Research, Vols. 261-263, 1410-1413(2011)

Yarn material is modeled as Kelvin element.
The yarn material model as the Kelvin is considered.
Journal of Sound and Vibration. 2007, 299(1-2): 348-354
Journal of Sound and Vibration. 2005, 284(3-5): 879-891
Journal of Sound &Vibration. 1997, 203(5): 815-832

Introduction In last two decades, nanocomposites are used in various technological areas such as optics, electronics, medicine, materials science and many other fields [1–5].
Ober, Nanocomposite materials for optical applications, Chem.
Szunerits, Gold–graphene nanocomposites for sensing and biomedical applications, Journal of Materials Chemistry B, 3 (2015), 4301-4324 [15] M.
Semaltianos, Nanoparticles by Laser Ablation, Critical Reviews in Solid State and Materials Sciences, 35 (2010) 105-124
Menazea, Different time's Nd:YAG laser-irradiated PVA/Ag nanocomposites: structural, optical, and electrical characterization, Journal of Materials Research and Technology, 8(2), (2019), 1944-1951

Journal of Materials Engineering and Performance, 30(7):4768-4791, June 2021
Materials & Design, 202:109471, April 2021
Journal of Manufacturing and Materials Processing, 7(3):97, May 2023
Materials, 12(7):1121, April 2019
Journal of Materials Research and Technology, 30:2478-2499, May 2024

Thinking about the available process paths from raw materials to finished products, there are different equipments, raw materials or semi-manufactured products to couple the material requirements planning with task accreditation planning, therefore, some model algorithms will not work or be hard to find the solution.
In the course of modelling, there is some hypothesis as following: (1)Provided that infinite materials, energy, information and manpower resource expect to export in the source point, while there is an infinite storage to store these materials, energy, and information and manpower resource
(2)Provided that intermediate points with no ability to store materials, energy and information, just play a role of transportation
The subset of Apex set VS ⊂ is supporting or selling materials, which is intituled as Source Points, nonnegative number iD indicates the supporting ability or selling ability of apex , Si ∈ , and nonnegative number ip indicates the bargain price of apex Si ∈ .
Foundation of China (58075190) and Key Laboratory of Metallurgical Equipment and Control of Ministry of Education in Wuhan University of Science and Technology (2009A08) .