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But, the fracture remains a key failure mode of these materials.
For homogeneous, isotropic and linear elastic materials, the eigenfunctions or higher order fields are only three ones, i.e.
However, the corresponding eigenfunctions are not available for non-homogeneous, isotropic and linear elastic materials.
Moreover, it is seen from the above-developed solutions that they consist of two parts: the classical solution for homogenous materials and additional terms due to non-homogeneity.
Therefore, if we use the expansions available for homogeneous materials in order to extract fracture parameters from full field experimental data, this could lead to serious errors.

New Thermal Insulation Materials from Waste of Mechanical Processing of Wood A.A.
Materials and Methods Studies The object of the study is the processes of creating new thermal insulation materials obtained from the waste of mechanical processing of soft hardwood wood.
In the production of wood products, up to 60% of the waste from the total volume of processed raw materials is generated.
The remaining waste (humps and slats after processing into small wood particles, as well as sawdust, shavings and crushed wood) is widely used to produce composite materials and therefore they are considered as additional raw materials.
Products based on gypsum binders are more environmentally friendly than many materials, cheaper and have a large raw material base.

Synthesis of BaTiO3 Nanorods at Room Temperature and Normal Pressure Tieyu Sun1, Xiaohui Wang1,a, Xiaoquan Zhang1 and Longtu Li 1,b 1 State Key Lab of Advanced Ceramics & Fine Processing, Department of Materials Sciences & Engineering, Tsinghua University, Beijing, 100084, China a wxh@mail.tsinghua.edu.cn, bllt-dms@mail.tsinghua.edu.cn Keywords: Barium titanate, nanorods, oleic acid Abstract.
Of course, the industry need more and more fine crystalline barium titanate as raw materials.
The raw materials of twice experiments.
We did twice with different proportioning of raw materials as shown in Table 1.
Bell: Journal of Applied Physics, Vol. 89 (2001), p. 3907-3914

Xu: International Journal of Rock Mechanics & Mining Sciences.
Xv, B.Jian: Chinese Journal of Rock Mechanics and Engineering.
X.T.Feng, W.X.Ding: International Journal of Rock Mechanics & Mining Sciences.Vol.44 (2007) , p.437–448 [6].
Huo, N.Li, H.D.Liu: Chinese Journal of Rock Mechanics and Engineering.
L.C.Jiang, Y.Wen: Chinese Journal of Rock Mechanics and Engineering.

Introduction Iron disilicide (β-FeSi2) is a potential candidate for thermoelectric materials because of its abundance as a raw material, high Seebeck coefficient, large working temperature range, good resistance to oxidation, and non-toxicity.
Doping of β-FeSi2 with metals, e.g., Co and Mn, to produce n-type and p-type materials, respectively, is aimed at improving the Seebeck coefficient and electrical conductivity [1].
It was proved that FAPAS is a benign and rapid synthesis method for β-FeSi2 thermoelectric materials.
Conclusions (1) Mechanically activated powder mixtures of Fe and Si were applied to fabricate FeSi2 and FeSi2-0.1wt%Cu bulk thermoelectric materials by FAPAS process.
References [1] I.Yamauchi, H.Okamoto, A.Suganuma and et al: Journal of Materials Science, Vol.33 (1998), p.385-394 [2] Y.Tomm, L.Ivaneko, K.Irmscher and et al: Materials Science and Engineering, Vol.B37 (1996), p.215-218 [3] Mikio Ito, Tomoyuki Tada and Shigeta Hara:Journal of Alloys and Compounds, Vol.408-412 (2006), p. 363-367 [4] S.W.Kim, M.K.Cho, Y.Mishima and et al: Intermetallics Vol. 11(2003), p.399-405 [5] K.NOGI, T.KITA: Journal of materials science, Vol.35 (2000), p.5845-5849

Acknowledgements This research was financially supported by A Project of Shandong Province Higher Educational Science and Technology Program (J10LE53),Independent Innovation Foundation of Shandong University, IIFSDU (2009GN046), National Natural Science Foundation of China (40872203) , National Natural Science Foundation of China (50979052).
Journal of Gansu University of Technology, 2001，27(1):101-105
Journal of Tongji University, 2003，31(4):404-407
Concrete Filled Steel Tube structure: Theory and Practice[M].Beijing: Science Press,2004,16-393
Journal of Southeast University , 2005,35(3):433-437

Materials Letters, 62(2008)4345-4347
Materials Chemistry and Physics, 90(2005) 106-110
Solar Energy Materials and Solar Cells, 52(1998) 313-344
Fuctional Materials, 38(2007) 382-386
Journal of Applied Sciences, 11(2011) 401-410

Kurska, Investigation of the Processes of Formation of a Fire Retardant Coating, Materials Science Forum, 1038 (2021) 480–485
Romanova, Co-Mo-W galvanochemical alloy application as cathode material in the industrial wastewater treatment processes, Materials Science Forum, 1038 (2021) 251–257
Bezuglov, Mathematical modeling of fire-proof efficiency of coatings based on silicate composition, Materials Science Forum, 1006 (2020) 70–75
Savchenko, Thermodynamic Study of Fire-Protective Material, Materials Science Forum, 1038 (2021) 486–491
Hapon, Design, synthesis, and diagnostics of functional galvanic coatings made of multicomponent alloys, Materials science, 52 (2017) 680–688

The CNTs are one of the promising materials because of their large surface areas and Li adsorption properties.
Materials and Methods Materials.
Fan, Extraction of lithium with functionalized lithium ion-sieves, Progress in Materials Science, 84 (2016) 276-313
Lu, Nanoflaky MnO2/carbon nanotube nanocomposites as anode materials for lithium-ion batteries, Journal of Materials Chemistry, 20 (2010) 6896-6902
Amalina, Fabrication of PMMA/zeolite nanofibrous membrane through electrospinning and its adsorption behavior, Journal of Applied Polymer Science, 134 (2017)

Common biochar includes materials from bamboo, wood and straws.
In these materials, hull biochars were higher than other materials.
Environmental Science and Technology, 2005, 39: 7932-7939
Agronomy Journal, 2008,100: 178-181
Australian Journal of Soil Research, 2007, 45: 629-634