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Introduction Functional Gradient Materials (FGMs) are a new generation of engineered materials which first introduced by a group of Japanese scientists in 1984 [1, 2], as ultrahigh temperature resistant materials [3,4] for aircraft, apace vehicles and other engineering applications.
This advantage eliminates the interface problems of composite materials.
The former two methods are based on the uniform or laminated materials, accurate method often assume the elastic modulus of material along the beam thickness direction change with exponential law.
[2] Koizumi M: The concept of FGM(s), Ceramic Transactions and Functionally Gradient Materials Vol. 34 (1993), p. 3-1
[6] Yankai Gao: The Journal for Science and Technology University of Taiyuan Vol. 3 (2006), p.204-209, in Chinese

Materials and Method We used active pure for analisis «PFA» grade MgO and technogenic raw materials of MPP «Tuva asbestos» as raw materials for composite magnesia binders.
Akchurin, Raw materials use of the Volgograd region in the technology of building materials (state and prospects), Reliability and durability of building materials and structures. 2 (2000) 3-9
Hai, Influence of EVA-latex on the composition properties of fiberglass-magnesia-oxychloride cement, Journal of Yuhan University of Technology, Materials of scientific education. 21 (2006) 138-142
Miryuk, Prospects for the use of waste in the technology of magnesian building materials, Science and the world. 11 (2014) 41-45
Geodakyan, New materials and products, based on local raw materials, Chem. g.

Grinding usually be employed in semi-finishing for removing redundant materials efficiently.
The high hardness and brittleness of the materials restrict largely the parameters of processing, which lead to the low efficiency of machining.
Optik-International Journal for Light and Eledtron Optics Vol.122 (2011) p.358-363 [5] Ling Yin, Han Huang: Brittle materials in Nano-abrasive Fabrication of Optical Mirror-surfaces.
SPIE 1995 International Symposium on Silicon Carbide Materials for Optics and Precision Structure.
Journal of The Optical Society of America A-optics Image Science and Vision Vol.24 (2007) p.1551-1561 [11] Raquel Concheiro, Margarita Amor, Emilio J.

A Novel Material Preparation of Density Ceramics and Fibre Joining Yingna Zhaoa,Shuijing Gao, Guiqin Hou and Wenli Zhang b School of Materials Science and Engineering, Hebei United University, Tangshan, Hebei, China, 063000 ayingna_1120@sohu.com, bzhwl@heuu.edu.cn Keywords: ZTM ceramics; Fibres; Microwave joining Abstract.
Bodhak, S. et al. research indicated that ZTM ceramics could be sintering by microwave method [7], and the ceramics fibres are transmittance wave materials, so joint the two materials by microwave method is available.
Hurtado, Journal of Nuclear Materials, Vol. 405(2010), p. 1 [3] H.Dong, et al., Materials Science and Engineering: B, Vol.176 (2010), p. 60 [4] N.Kondo, , H.
Kita, Journal of the Ceramic Society of Japan, Vol.118(2010), p. 9 [5] S.Das, et al., Bulletin of materials science, Vol.31(2008), p. 943 [6] A.Ahmed and E.
Siores, Journal of Materials Processing Technology, Vol.118(2001), p. 88 [7] S.Bodhak, et al., Innovative Processing and Manufacturing of Advanced Ceramics and Composites. 2010: John Wiley & Sons, p. 93

Journal of Fire Sciences. 38 (2019) 53–74
Functional Materials. 25/4 (2018) 774–779
Materials Science Forum. 1006 (2020) 62–69
Eastern-European Journal of Enterprise Technologies. 6 (10) (2020) 28–35
Key Engineering Materials. 954 (2023) 177–184

The exponential and power material functions are often applied to functionally gradient materials (FGM).
For homogeneous, isotropic and linear elastic materials, the eigenfunctions are only three ones, i.e.
The rectangular domain consists of base materials (BM), heat-affected zone (HAZ) and welding material (WM).
The fracture remains a key failure mode of these materials.
The higher order terms differ considerably from their counterparts for homogeneous materials.

Through the experimental results, we concluded that the different welding quality of different materials and absorbing agent, and analyzed its material characteristic reasons.
The absorption can be adjusted by different filler materials or filler agents.
Kontopoulou: Journal of Thermoplastic Composite Materials.
Katsiropoulos: Journal of Composite Materials.
Zak: Journal of Heat Transfer.

Nogita: Journal of Electronic Materials Vol. 37(2008), p.32 [3] C.M.
Nogita: Journal of Electronic Materials, Vol. 37(2012), p.51~60 [4] K.Nogita, C.M.
Gourlay: Materials Transactions, Vol. 49(2008), p.443 [5] H.L.
Zavalij: Journal of Electronic Materials Vol. 30(2001), p.1157 [8] S.H.
Nishimura: Materials Transactions Vol. 46(2005), p.2419 [13] K.

Experimental procedure Starting materials.
Journal of the European Ceramic Society 28(2008) 329~344
Journal of the European Ceramic Society 29(2009) 31~38
Journal of alloys and Compounds 460(2008) 599~606
Journal of the European Ceramic Society 29(2009) 347~353

Finite element analysis of stress intensity factors in the cracking of brittle materials under biaxial loading H.
Jour. of Key Engineering Materials, Vol. 465, 123-128, publication, (2011)
Kachanov; “Interaction of a crack with a field of micro-cracks”, International Journal of Engineering Sciences, Vol. 21, pp. 1009-1018, (1983)
Chabaat; “Crack in brittle material at presence of a dislocation”, Advanced Materials Research, Vol. 921, pp. 2043-2047, (2014)
Chabaat; Stress field and energy analysis during the fracture of Composite materials, Journal of Applied Mechanics and Materials. pp 524 (2014)