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A energy release rate concept was proposed, which is based on the brittle materials crack propagation criterion.
The closure effect of aggregate cohesive traction and the physical phenomenon of material toughness increase during crack propagation were explained.
Zhang and Xu proposed a named GR theory[5-7] based on the concept that concrete is a compound material.
International Journal of Fracture. 92(1) (1998) 71-99
Shah, Features of mechanics of quasi—brittle crack propagation in concrete [J].International Journal of Fracture. 51(1) (1991) 103—120

Methods for calculating deformation of gear teeth contain mechanics of materials, mathematics elastic mechanics, and numerical solver represented by finite element.
V denotes material Poisson ratio.
Acknowledgements This work was supported by China Postdoctoral Science Foundation (2011M500572) References [1] Brown J.
Journal of Mechanical Transmission,2010,8 p1-5 [4] Kang Yan, Shi Zhaoyao, Lin Jiachun.
Journal of Mechanical Transmission, 2008,1:20-24 [5] Fan D L.

Experimental Procedure The raw materials in this experiment include the hydrogen-reduced polygonal tungsten powder, spherical carbonyl nickel powder, spherical carbonyl iron powder and Y2O3 powder; their average particle sizes were 2.91 μm, 2.66 μm, 3.97 μm and 5.0μm, respectively.
J Powder Metall Vol.38(2002),p.56~61 [6] H J Ryu, S H Hong and W H Baek: Materials Science and Engineering A Vol.291(2000), p.91~96
[7] J L Fan, B Y Huang: Journal of Advanced Materials Vol.36(2004),p.48~52
[8] H J Ryu, S H Hong and W H Baek: Journal of Materials Processing Technology Vol.63(1997),p.292~297.

Wolkersdorfer, Contemporary reviews of mine water studies in Europe, Mine Water and the Environment, 24: Supplementary Material, Springer Science, Dordrecht, (2005) 1–466
Jain, Drinking water treatment, Springer Science, Dordrecht, 2011
Zagorodni, Ion exchange materials: properties and applications, Elsevier Science, Amsterdam, 2007
Luqman (Eds.), Ion exchange technology: theory and materials, Springer Science, Dordrecht, 2012
Simon, Ion exchange training manual, Springer Science, Dordrecht, 1991

Hoye, Perovskite-Inspired Materials for Photovoltaics and Beyond-from Design to Devices.
Materials Review. 31 (2017) 35-42
Advanced Materials. 32 (2020)
ACS Applied Materials & Interfaces. 9 (2017) 14518-14524
Acs Applied Materials & Interfaces. 10 (2018) 11414-11419.

Several studies utilize natural materials to reduce metal waste contamination using the adsorption method.
Tools and Materials.
The carbonization process produces the main material in the form of carbon, while the side materials are tar, water vapor, methanol, acid vapor, and hydrocarbons [19].
The Egyptian International Journal of Engineering Sciences and Technology, 32(Civil and Architectural Engineering), 1-24
Journal of Chemistry, 1-11

This multiple cutters approach employs a larger tool to remove stock materials as many as possible and a smaller one for the remaining areas in turn.
Journal of Manufacturing Processes. 3 (2001) 1-16
Materials and Design. 22(2002) 337-351
Chinese Journal of Aeronautics. 21, 6(2008) 585-592
Applied Mechanics and Materials. 160, (2012) 206-210

Desired material performance needs to be improved, especially toughness and hardness.
References [1] Kaszynski J, Breitler R (2002), How the Steelmaking Process Influences the Properties of Hot Work Die Steels, Technical Paper - Society of Manufacturing Engineers, Issue CM02-216, p 1-12  [2] ASM International (1990), ASM Handbook Volume 1: Properties and Selection ¾ Nonferrous Alloys and Special Purpose Materials, 10th edition, American Society for Metals, Metals Park, Ohio [3] Davis JR (ed) (1995), ASM Specialty Handbook: Tool Materials, ASM International, Materials Park, Ohio [4] Roberts GA, Krauss G, Kennedy R (1998), Tool Steels, 5th edition, American Society for Metals, Metals Park, Ohio [5] Szumera J (2003), The Tool Steel Guide, Industrial Press, New York [6] Bryson WE (2005), Heat Treatment, Selection, and Application of Tool Steels, 2nd edition, Hanser Gardner Publications, Cincinati [7] Fnides B, Yallese MA, Aouici H (2008), Hard Turning of Hot Work Steel AISI H11: Evaluation of Cutting Pressures, Resulting Force and Temperature, Mechanika, 72 (4), p 59
-63 [8] Klobčar Da , Tušek Ja, Taljat Bb (2008), Thermal Fatigue of Materials for Die-Casting Tooling, Materials Science and Engineering A, 472 (1-2), p 198-207 [9] Cornacchia G, Gelfi M, Faccoli M, Roberti R (2008), Influence of Aging on Microstructure and Toughness of Die-Casting Die Steels, International Journal of Microstructure and Materials Properties, 3 (2-3), p 195-205 [10] Pellizzari M, Zadra M, Molinari A (2007), Tribological Properties of Surface Engineered Hot Work Tool Steel for Aluminum Extrusion Dies, Surface Engineering, 23 (3), p 165-168 [11] Barrau Oa, Boher Ca, Gras Rb, Rezai-Aria Fa (2003), Analysis of the Friction and Wear Behavior of Hot Work Tool Steel for Forging, Wear, 255 (7-12), p 1444-1454 [12] Nolan D, Leskovsek V, Jenko M (2006), Estimation of Fracture Toughness of Nitride Compound Layers on Tool Steel by Application of Vickers Indentation Method, Surface and Coating Technology, vol. 201, p 182-188 [13] Totten GE (ed) (2007), Steel Heat Treatment Handbook
; Vol 1: Metallurgy and Technologies; Vol 2: Equipment and Process Design, 2nd edition, CRC Press, Boca Raton [14] ASM International (1991), ASM Handbook Volume 4: Heat Treating, American Society for Metals, Metals Park, Ohio [15] ASTM E18 (2008), Standard Test Method for Rockwell Hardness of Metallic Materials, American Society of Testing and Materials [16] ASTM E23 (2007), Standard Test Method for Notched Bar Impact Testing of Metallic Materials, American Society of Testing and Materials [17] ASTM E8 (2008), Standard Test Method for Tension Testing of Metallic Materials, American Society of Testing and Materials [18] Qamar SZ, Sheikh AK, Arif AFM (2008), A CVN-KIC Correlation for H13 Tool Steels, International Journal of Materials and Product Technology (IJMPT), 33 (4), p 421-432 [19] Qamar SZ, Sheikh AK, Arif AFM, Pervez T (2006), Regression-Based CVN-KIC Models for Hot Work Tool Steels, Materials Science and Engineering A, 430 (1-2), August 2006, p 208-215 [20] Arif AFM, Sheikh
AK, Qamar SZ and al-Fuhaid KM (2003), A Study of Die Failure Mechanisms in Aluminum Extrusion, Journal of Materials Processing Technology, 134 (3), March 2003, p 318-328

SiC is one of the third generation of semiconductor materials developed after the first generation of elemental semiconductor materials (Si) and the second generation compound semiconductor materials (GaAs, GaP, InP) [3].
Chinese Science Bulletin, 2016: 978-989
SiC Materials and Devices [J].
Scanning Electron Microscopic Techniques for Characterization of Semiconductor Materials [M]. 1986
Proposed formula for electron inelastic mean free paths based on calculations for 31 materials[J].

The processing time should increase 30 seconds every 5-gram material added.
By comparison to traditional extraction method, this method can be employed to shorten Seven eighths of extraction time, and improve the extraction rate of Shikimic acid by 35.8% Experiment Materials and reagents.
However, if the temperature was too high, the dissolved-out quantity of impurities increased accordingly, and some heat-sensitive materials could be oxidized or decomposed.
[3] WANG Hong and BIAN Qing-quan, “Determination of Shikimie Aeid in Cedrus deodara Roxb.G.don.By RP-HPLC”,Chinese Journal of Pharmaceuticals, vol. 38, no.11,pp.797-798,2007
[9] Zhao Qun-li and Wei Teng-you,“Extraction of Cinnamaldehyde in Cinnamomum cassia Bark by Means of Microwave Pretreatment”, Guangxi Sciences, vol. 10, no. 3,pp.223-225,2003